On Short Exponential Sums Involving Fourier Coefficients of Holomorphic Cusp Forms

By an exponential sum of the Fourier coefficients of a holomorphic cusp form we mean the sum which is formed by first taking the Fourier series of the said form,then cutting the beginning and the tail away and considering the remaining sum on the real axis. For simplicity’s sake, typically the coefficients are normalized. However, this isn’t so important as the normalization can be done and removed simply by using partial summation. We improve the approximate functional equation for the exponential sums of the Fourier coefficients of the holomorphic cusp forms by giving an explicit upper bound for the error term appearing in the equation. The approximate functional equation is originally due to Jutila [9] and a crucial tool for transforming sums into shorter sums. This transformation changes the point of the real axis on which the sum is to be considered. We also improve known upper bounds for the size estimates of the exponential sums. For very short sums we do not obtain any better estimates than the very easy estimate obtained by multiplying the upper bound estimate for a Fourier coefficient (they are bounded by the divisor function as Deligne [2] showed) by the number of coefficients. This estimate is extremely rough as no possible cancellation is taken into account. However, with small sums, it is unclear whether there happens any remarkable amounts of cancellation.

Cultural aspects of globalizing university-industry knowledge interaction in China

Previous studies of the local involvement of multinational corporation (MNC) subsidiaries focus on host-country firms and local business partners such as suppliers and customers. The role of host-country universities in the same context of innovation networks is neglected. Furthermore, there are many organizational culture- and knowledge-related differences between universities and companies, and this is likely to pose additional challenges for successful collaboration. Early university-industry (U-I) studies have primarily been limited within a national boundary, being concerned with a single level of culture (i.e., at an organizational level) and one-way knowledge transfer from university to industry. Research on more dynamic knowledge interaction in multinational settings is lacking. This is particularly true in the business context of China. In today’s globalizing and rapidly changing organizations, addressing cultural differences and clashes is an everyday reality, and inter-cultural U-I collaboration is becoming a key asset for gaining global competitiveness. This study deals with Finnish MNC subsidiaries’ research collaboration with Chinese universities. It aims to explore the essence of such U-I collaboration and knowledge interaction, uncovering the deep functioning mechanisms of culture underlying effective collaborative knowledge creation and innovation. The study reviews critically different bodies of literature including knowledge management theories and studies, U-I collaboration and knowledge interaction, and cross-cultural research in terms of organizational knowledge generation and utilization. It adopts a case study strategy with qualitative research methods, and data is collected through in-depth interviews and participant observation. The study presents the following major findings: 1. In the light of a comprehensive analysis of U-I collaboration, an effective matching strategy is proposed, in the assumption that good alignment of knowledge interaction strategies and approaches with their corresponding knowledge type, capability development and research task may greatly enhance the effectiveness of cross-cultural U-I collaboration and knowledge interaction. 2. It is proposed that in the Chinese MNC context more dynamic types of knowledge interaction like knowledge co-creation should be of key concern particularly when dealing simultaneously with multi-disciplinary applied research of human factors and technologies. U-I knowledge interaction, otherwise, pays attention only to the study of one-way technology and knowledge transfer. 3. It is posited that the influence of culture on collaborative knowledge interaction can be studied in a valuable way when knowledge-related variables are simultaneously taken into account. A systematic analysis of the role of knowledge in cross-cultural knowledge interaction could best be approached from multi-aspects of knowledge including not only nature, characteristics and types of knowledge but also the process of knowledge (e.g., intensifications of knowledge interaction). 4. The study demonstrates the significant role of aspects of the host-country culture (e.g., Chinese guanxi) in U-I collaboration and knowledge interaction. This is evident, for instance, in issues related to interpersonal relationships and trust, true interest and the relatedness of the research, mutual commitment and learning, communication intensity and interaction, and awareness of cultural and knowledge-related differences between collaboration partners. Theoretical and practical implications of the findings are suggested and discussed.

Studies on the Multifaceted Interaction of Atoms and an Electromagnetic Field

In this Thesis the interaction of an electromagnetic field and matter is studied from various aspects in the general framework of cold atoms. Our subjects cover a wide spectrum of phenomena ranging from semiclassical few-level models to fully quantum mechanical interaction with structured reservoirs leading to non-Markovian open quantum system dynamics. Within closed quantum systems, we propose a selective method to manipulate the motional state of atoms in a time-dependent double-well potential and interpret the method in terms of adiabatic processes. Also, we derive a simple wave-packet model, based on distributions of generalized eigenstates, explaining the finite visibility of interference in overlapping continuous-wave atom lasers. In the context of open quantum systems, we develop an unraveling of non-Markovian dynamics in terms of piecewise deterministic quantum jump processes confined in the Hilbert space of the reduced system - the non-Markovian quantum jump method. As examples, we apply it for simple 2- and 3-level systems interacting with a structured reservoir. Also, in the context of ion-cavity QED we study the entanglement generation based on collective Dicke modes in experimentally realistic conditions including photonic losses and an atomic spontaneous decay.

Organizational learning from customer interaction

In the fierce competition of today‟s business world an organization‟s capacity to learn maybe its only competitive advantage. This research aims at increasing the understanding on how organizational learning from the customer happens in technology companies. In doing so it provides a synthesized definition of organizational learning and investigates processes of organizational learning within technology companies. A qualitative research method and in-depth interviews with different sized high technology companies, as applied here, enables in-depth study of the learning processes. Research contributes to the understanding of what type of knowledge firms acquire, how new knowledge is transferred and used in a learning firm‟s routines and processes. Research findings show that SMEs and large size companies also, depending on their position in the software value chain, consider different knowledge types as most important and that they use different learning methods to acquire knowledge from their customers.

Pragmatic competence of Finnish learners of English: Meaning in interaction in secondary and upper secondary schools

Tutkin pro gradu -tutkielmassani englannin kielen oppijoiden pragmaattista kompetenssia. Tarkoitukseni oli selvittää, miten suomalaiset yläkoululaiset ja lukiolaiset osaavat käyttää englannin kieltä erilaisissa kommunikaatiotilanteissa. Tutkielmani voidaan sijoittaa välikielen pragmatiikan tutkimukseen. Halusin selvittää, millä tasolla suomalaisten oppijoiden pragmaattinen kompetenssi on ja kehittyykö se yläkoulun ja lukion välillä. Lisäksi tutkin, vaikuttavatko oppimisympäristö ja oppimismahdollisuudet oppijoiden kykyyn käyttää englannin kieltä. Toisin sanoen vertasin englantipainotteisilla luokilla olevia oppilaita formaalin opetuksen oppijoihin sekä tutkin, vaikuttavatko englanninkieliset vapaa-ajan aktiviteetit ja oppijoiden mahdolliset oleskelut englanninkielisissä maissa heidän pragmaattiseen kompetenssiinsa. Tutkimukseni kohderyhmä koostui yläkoulun kahdeksasluokkalaisista ja lukion toisen vuosikurssin opiskelijoista. Testasin neljä eri ryhmää, joissa oli sekä formaalissa opetuksessa olevia oppijoita (yksi ryhmä kahdeksasluokkalaisia ja yksi ryhmä toisen vuosikurssin opiskelijoita) että kielipainotteisten luokkien oppijoita (yksi ryhmä kahdeksasluokkalaisia ja yksi ryhmä toisen vuosikurssin opiskelijoita). Arvioin kohderyhmäni pragmaattista kompetenssia monivalintatestillä, jossa testattiin oppijoiden kykyä käyttää ja ymmärtää implikaatioita, tilannekohtaisia rutiineja sekä puheakteja. Taustakysymysten avulla selvitin, kuinka usein oppijat käyttivät englantia vapaa-aikanaan ja olivatko he vierailleet englanninkielisissä maissa. Tutkimustulokseni osoittavat, että suomalaisten yläkoululaisten ja lukiolaisten pragmaattinen kompetenssi oli korkea. Pragmaattinen kompetenssi kehittyi kahdeksasluokkalaisten ja lukion toisen vuosikurssin välillä. Kehitys oli suurempaa formaalissa opetuksessa kuin kielipainotteisilla luokilla. Englantipainotteisilla luokilla olevat oppilaat suoriutuivat testistä paremmin kuin formaalin opetuksen oppilaat. Tosin erot olivat tilastollisesti merkitseviä vain yläkoulussa. Tutkimuksessani siis päättelin, että vieraskielinen opetus vaikutti enemmän nuorempiin oppijoihin. Eri oppimismahdollisuudet osoittautuivat haastaviksi analysoida. Tulokset osoittivat, että vain englanninkielisessä maassa oleskelulla oli vaikutusta oppijoiden pragmaattiseen kompetenssiin. Kysyttäessä vapaa-ajan aktiviteettien merkitystä oppijat kuitenkin kertoivat, että ne auttoivat heitä testiin vastaamisessa enemmän kuin englanninopetuksessa käydyt asiat. Kouluissa tulisikin jatkossa painottaa yhä enemmän vuorovaikutteista kieltenopetusta.

Interaction with industrial customers from a project selling company's perspective

This thesis studied the issue of interaction in industrial buyer-seller relationships. The aim of the thesis was to study the interaction from the seller’s perspective, especially from a project selling company’s perspective. The purpose of the thesis was to offer suggestions for the case company on how to improve interaction. The theoretical part of the study introduced the interaction framework of buyer-seller interaction, and the concept of interaction mechanisms. The focus was on studying the seller’s ways and means to utilize the interaction mechanisms. A case study research was conducted in the empirical part of the study, in which interaction in the case company was observed at a general level and through three different projects. The case company of the study was a project selling company. The case study data was gathered through individual interviews. Content Analysis was used as a research method for analyzing the case study data. Based on the case study findings, the results were drawn. The results indicated what should be done, in order to develop interaction in the case company. Finally, suggestions were provided for the case company on how to improve interaction, and a suggested interaction model was established for the case company. Although the thesis studied the topic from the viewpoint of only one specific company, it also offers outlook for other seller companies to improve their interaction.

Characterisation of Laser Beam and Paper Material Interaction

It is known already from 1970´s that laser beam is suitable for processing paper materials. In this thesis, term paper materials mean all wood-fibre based materials, like dried pulp, copy paper, newspaper, cardboard, corrugated board, tissue paper etc. Accordingly, laser processing in this thesis means all laser treatments resulting material removal, like cutting, partial cutting, marking, creasing, perforation etc. that can be used to process paper materials. Laser technology provides many advantages for processing of paper materials: non-contact method, freedom of processing geometry, reliable technology for non-stop production etc. Especially packaging industry is very promising area for laser processing applications. However, there are only few industrial laser processing applications worldwide even in beginning of 2010´s. One reason for small-scale use of lasers in paper material manufacturing is that there is a shortage of published research and scientific articles. Another problem, restraining the use of laser for processing of paper materials, is colouration of paper material i.e. the yellowish and/or greyish colour of cut edge appearing during cutting or after cutting. These are the main reasons for selecting the topic of this thesis to concern characterization of interaction of laser beam and paper materials. This study was carried out in Laboratory of Laser Processing at Lappeenranta University of Technology (Finland). Laser equipment used in this study was TRUMPF TLF 2700 carbon dioxide laser that produces a beam with wavelength of 10.6 μm with power range of 190-2500 W (laser power on work piece). Study of laser beam and paper material interaction was carried out by treating dried kraft pulp (grammage of 67 g m-2) with different laser power levels, focal plane postion settings and interaction times. Interaction between laser beam and dried kraft pulp was detected with different monitoring devices, i.e. spectrometer, pyrometer and active illumination imaging system. This way it was possible to create an input and output parameter diagram and to study the effects of input and output parameters in this thesis. When interaction phenomena are understood also process development can be carried out and even new innovations developed. Fulfilling the lack of information on interaction phenomena can assist in the way of lasers for wider use of technology in paper making and converting industry. It was concluded in this thesis that interaction of laser beam and paper material has two mechanisms that are dependent on focal plane position range. Assumed interaction mechanism B appears in range of average focal plane position of 3.4 mm and 2.4 mm and assumed interaction mechanism A in range of average focal plane position of 0.4 mm and -0.6 mm both in used experimental set up. Focal plane position 1.4 mm represents midzone of these two mechanisms. Holes during laser beam and paper material interaction are formed gradually: first small hole is formed to interaction area in the centre of laser beam cross-section and after that, as function of interaction time, hole expands, until interaction between laser beam and dried kraft pulp is ended. By the image analysis it can be seen that in beginning of laser beam and dried kraft pulp material interaction small holes off very good quality are formed. It is obvious that black colour and heat affected zone appear as function of interaction time. This reveals that there still are different interaction phases within interaction mechanisms A and B. These interaction phases appear as function of time and also as function of peak intensity of laser beam. Limit peak intensity is the value that divides interaction mechanism A and B from one-phase interaction into dual-phase interaction. So all peak intensity values under limit peak intensity belong to MAOM (interaction mechanism A one-phase mode) or to MBOM (interaction mechanism B onephase mode) and values over that belong to MADM (interaction mechanism A dual-phase mode) or to MBDM (interaction mechanism B dual-phase mode). Decomposition process of cellulose is evolution of hydrocarbons when temperature is between 380- 500°C. This means that long cellulose molecule is split into smaller volatile hydrocarbons in this temperature range. As temperature increases, decomposition process of cellulose molecule changes. In range of 700-900°C, cellulose molecule is mainly decomposed into H2 gas; this is why this range is called evolution of hydrogen. Interaction in this range starts (as in range of MAOM and MBOM), when a small good quality hole is formed. This is due to “direct evaporation” of pulp via decomposition process of evolution of hydrogen. And this can be seen can be seen in spectrometer as high intensity peak of yellow light (in range of 588-589 nm) which refers to temperature of ~1750ºC. Pyrometer does not detect this high intensity peak since it is not able to detect physical phase change from solid kraft pulp to gaseous compounds. As interaction time between laser beam and dried kraft pulp continues, hypothesis is that three auto ignition processes occurs. Auto ignition of substance is the lowest temperature in which it will spontaneously ignite in a normal atmosphere without an external source of ignition, such as a flame or spark. Three auto ignition processes appears in range of MADM and MBDM, namely: 1. temperature of auto ignition of hydrogen atom (H2) is 500ºC, 2. temperature of auto ignition of carbon monoxide molecule (CO) is 609ºC and 3. temperature of auto ignition of carbon atom (C) is 700ºC. These three auto ignition processes leads to formation of plasma plume which has strong emission of radiation in range of visible light. Formation of this plasma plume can be seen as increase of intensity in wavelength range of ~475-652 nm. Pyrometer shows maximum temperature just after this ignition. This plasma plume is assumed to scatter laser beam so that it interacts with larger area of dried kraft pulp than what is actual area of beam cross-section. This assumed scattering reduces also peak intensity. So result shows that assumably scattered light with low peak intensity is interacting with large area of hole edges and due to low peak intensity this interaction happens in low temperature. So interaction between laser beam and dried kraft pulp turns from evolution of hydrogen to evolution of hydrocarbons. This leads to black colour of hole edges.

Open innovation: university-industry interaction in Russia

Innovation nowadays is one of the key elements of counties’ competitiveness. In the face of continuous world economic changes, open innovation business model implementation allows many companies to improve and accelerate their innovation processes through collaboration. Universities as traditional sources of knowledge might be involved in such kind of collaboration. In developing countries, which are in transition towards innovation-based economy, as Russia, open innovation business model can serve as a tool to speed up this transition. The Master’s Thesis explores the implementation of open innovation model in collaboration between companies and universities in global scale and particularly in Russia. The study is qualitative and it is based on integrative analysis of literature, secondary data and results of the survey, conducted among Russian universities. In the thesis a model for implementation of open innovation into Triple Helix model is elaborated. The study also explores not very common practice of reverse-directional interaction - from industry to university. The findings of this research show a necessity of solving the identified problems in parallel with implementation of open innovation concept in university-industry collaboration.

An interaction framework for deploying the knowledge of diasporas: Using Finland as an example

This study discusses the importance of diasporas’ knowledge with regard to the national competitive advantage of Finland. The purpose of this study is to suggest an interaction framework, which illustrates how diasporas can benefit the host country via intentional knowledge spillovers, with two sub-objectives: to seek which features are crucial for productive interaction between a host government and diasporas, and to scrutinize the modes of interaction currently effective in Finland. The theoretical background of the study consists of literature relating to the concepts of diaspora and knowledge. The empirical research conducted for this study is based on expert interviews. The interview data was collected between September and November 2013. Eight interviews were made; five with representatives of expert organizations, and three with immigrants. Thematic analysis was used to categorize and interpret the interview data. In addition, thematic networks were built to act as a basis of analysis. This study finds that knowledge, especially new combinations of knowledge, is a significant input in innovation. Innovation is found to be the basis of national competitive advantage. Thus the means through which knowledge is transferred are of key importance. Diasporas are found a good source of new knowledge, and thus may aid the innovative process. Host country stance and policy are found to have a major impact on the ability of the host country to benefit from diasporas’ knowledge. As a host country, this study finds Finland to have a very fragmented strategy field and a prejudiced attitude, which currently make it difficult to utilize the potential of diasporas. The interaction framework based on these findings suggests ways in which Finland can improve its national competitive advantage through acquiring the innovative potential of diasporas. Strategy revision and increased promotion are discussed as means towards improved interaction. In addition, the importance of learning is emphasized. The findings of this study enhance understanding of the relationship between the concepts of diaspora and knowledge. In addition, this study ties the relationship to economic benefit. Future research is, however, necessary in order to fully understand the meaning of the relationship, as well as to increase understanding of the generalizability of the interaction framework.

Culture in business interaction: an individual perspective : empirical studies in Finnish-Russian business relationships

The main objective of this doctoral dissertation is to reach a holistic and indepth understanding of the intercultural interaction within dyadic business relationships through the perspective of individual managers. The empirical setting is dyadic business relationships between Russian and Finnish firms in construction and engineering industries. The motivation for the study mainly arose from: 1) the lack of business marketing literature considering cultural and individual perspectives; 2) the need to find ways to study intercultural issues in business relationships, other than through the application of models derived from the work of Hofstede (1980). The study consists of two parts, an introductory essay containing the research objectives, theoretical foundations, methodological choices, limitations and contributions, and original research articles. The four articles each address a sub-objective: 1) to develop an understanding of intercultural business relationships development, cultural adaptation, and its role in the development of trust (Article 1); 2) to develop an appropriate methodological framework for studying business interaction from a cultural and individual perspective (Article 2); 3) to develop an understanding of the role of culture in individual manager’s sensemaking of interaction events in business relationships (Article 3); and 4) to develop an appropriate theoretical framework for studying interactive intercultural business relationships in international industrial markets (Article 4). The ontological and epistemological foundations are built on the interpretivist/ social constructivist view of reality. Interaction, in this study, is seen as being conducted between individuals, who are the key representative actors of their firms. In turn, culture is regarded both as an independent context existing prior to the individuals’ participation in it, and as knowledge incorporated by the individuals, who use it in sensemaking and interaction across cultures. The methods applied in the articles are: an interpretive qualitative study (Article 1), a literature review and conceptual analysis (Article 2), a structural analysis of the narratives and a metaphor analysis (Article 3), and a literature review and conceptual analysis (Article 4). The main contributions are the following. First, it contributes to business marketing literature by developing the theoretical, conceptual, and methodological underpinning of IMP theories in relation to culture. Second, the thesis contributes to the growing literature on managerial sensemaking in industrial markets by looking at it from a cultural perspective, as well as emphasizing the importance of figurative language in cultural sensemaking.

Task-based information interaction

Esitys KDK-käytettävyystyöryhmän järjestämässä seminaarissa: Miten käyttäjien toiveet haastavat metatietokäytäntöjämme? / How users' expectations challenge our metadata practices? 30.9.2014.

Simulation of the Interaction Mean Free Path between Neutrons and TRISO Particles

The interaction mean free path between neutrons and TRISO particles is simulated using scripts written in MATLAB to solve the increasing error present with an increase in the packing factor in the reactor physics code Serpent. Their movement is tracked both in an unbounded and in a bounded space. Their track is calculated, depending on the program, linearly directly using the position vectors of the neutrons and the surface equations of all the fuel particles; by dividing the space in multiple subspaces, each of which contain a fraction of the total number of particles, and choosing the particles from those subspaces through which the neutron passes through; or by choosing the particles that lie within an infinite cylinder formed on the movement axis of the neutron. The estimate from the current analytical model, based on an exponential distribution, for the mean free path, utilized by Serpent, is used as a reference result. The results from the implicit model in Serpent imply a too long mean free path with high packing factors. The received results support this observation by producing, with a packing factor of 17 %, approximately 2.46 % shorter mean free path compared to the reference model. This is supported by the packing factor experienced by the neutron, the simulation of which resulted in a 17.29 % packing factor. It was also observed that the neutrons leaving from the surfaces of the fuel particles, in contrast to those starting inside the moderator, do not follow the exponential distribution. The current model, as it is, is thus not valid in the determination of the free path lengths of the neutrons.