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.

Professionalisation of sport federations - a multi-level framework for analysing forms, causes and consequences

Research question: International and national sport federations as well as their member organisations are key actors within the sport system and have a wide range of relationships outside the sport system (e.g. with the state, sponsors, and the media). They are currently facing major challenges such as growing competition in top-level sports, democratisation of sports with 'sports for all' and sports as the answer to social problems. In this context, professionalising sport organisations seems to be an appropriate strategy to face these challenges and current problems. We define the professionalisation of sport organisations as an organisational process of transformation leading towards organisational rationalisation, efficiency and business-like management. This has led to a profound organisational change, particularly within sport federations, characterised by the strengthening of institutional management (managerialism) and the implementation of efficiency-based management instruments and paid staff. Research methods: The goal of this article is to review the current international literature and establish a global understanding of and theoretical framework for analysing why and how sport organisations professionalise and what consequences this may have. Results and findings: Our multi-level approach based on the social theory of action integrates the current concepts for analysing professionalisation in sport federations. We specify the framework for the following research perspectives: (1) forms, (2) causes and (3) consequences, and discuss the reciprocal relations between sport federations and their member organisations in this context. Implications: Finally, we work out a research agenda and derive general methodological consequences for the investigation of professionalisation processes in sport organisations.

Phylogeography of competing sexual and parthenogenetic forms of a freshwater flatworm: patterns and explanations

Background: Models of the maintenance of sex predict that one reproductive strategy, sexual or parthenogenetic, should outcompete the other. Distribution patterns may reflect the outcome of this competition as well as the effect of chance and historical events. We review the distribution data of sexual and parthenogenetic biotypes of the planarian Schmidtea polychroa. Results: S. polychroa lives in allopatry or sympatry across Europe except for Central and North-Western Europe, where sexual individuals have never been reported. A phylogenetic relationship between 36 populations based on a 385 bp fragment of the mitochondrial cytochrome oxidase I gene revealed that haplotypes were often similar over large geographic distances. In North Italian lakes, however, diversity was extreme, with sequence differences of up to 5% within the same lake in both sexuals and parthenogens. Mixed populations showed "endemic" parthenogenetic lineages that presumably originated from coexisting sexuals, and distantly related ones that probably result from colonization by parthenogens independent from sexuals. Conclusions: Parthenogens originated repeatedly from sexuals, mainly in Italy, but the same may apply to other Mediterranean regions (Spain, Greece). The degree of divergence between populations suggests that S. polychroa survived the ice ages in separate ice-free areas in Central, Eastern and Southern Europe and re-colonised Europe after the retreat of the major glaciers. Combining these results with those based on nuclear markers, the data suggest that repeated hybridisation between sexuals and parthenogenetic lineages in mixed populations maintains high levels of genetic diversity in parthenogens. This can explain why parthenogens persist in populations that were originally sexual. Exclusive parthenogenesis in central and western populations suggests better colonisation capacity, possibly because of inbreeding costs as well

A crise europeia: excepcionalidade econômica, gestão autoritária e emergência de formas ativas de resistência civil = The European crisis: economic exceptionality, authoritarian rulings and the emergence of active forms of civil resistance

Thirty years after neo-liberalism hegemony, the states shows its incapacity for driving democratically exceptional situations like global economical crisis. In this context, it seems a particularly interesting issue to exam the popular alternatives that are growing to reject the institutional paralysis. This work take these problems since European perspective, especially this one of Spain, and its scope is justify the new forms of civil disobedience that are growing. They are analyzed not like"paradoxes" of democracy, but like necessary instruments of participative democracy into a really exceptional scenario

“That you too were the I”: Forms of polyphonic communication in John Ashbery’s poetry

Tarkastelen tutkimuksessani amerikkalaisen John Ashberyn (1927–) runoudessa lmenevää moniäänisyyttä. Runoutta pidetään yleensä yksiäänisenä puheena, kun taas omaanin ajatellaan erityisesti Mihail Bahtinin vaikutuksesta olevan luonnostaan oniääninen kirjallisuudenlaji. Ashberyn postmoderni runous haastaa tämän äsityksen. Ashbery tunnetaan vakiintuneita runouskäsityksiä vastaan kirjoittavana avantgarde-runoilijana. Pääasiallisina tutkimuskohteinani ovat Ashberyn pitkä runoelma nimeltä ”Litany” (1979) sekä lyhyiden runojen valikoima Your Name Here (2000). Vertailukohtana tarkastelen Ashberyn yhdessä James Schuylerin kanssa kirjoittamaa romaania A Nest of Ninnies (1969). Teoreettisena pohjana on käytetty Ashberyä käsittelevän muun tutkimuksen lisäksi muun muassa jälkistrukturalistisiin teorioihin liittyviä ajatuksia pronominien vaikutuksesta siihen miten lukija muodostaa käsityksen subjektiivisesta läsnäolosta runossa. Ashbery käyttää persoonapronomineja ilman selkeitä viittaussuhteita. Viittaussuhteiden hämärtymisen ja fragmentaarisuuden vuoksi Ashberyn runoja pidetään usein vaikeina, eikä niistä ole helppo löytää yhtä selkeää aihetta. Hajanaisuus on kuitenkin motivoitua, koska juuri se mahdollistaa moniäänisyyden ja avoimen tekstin, joka voi sisältää monia merkityksiä. Kun runossa ei ole yhden puhujan hallitsevaa ääntä, lukijan rooli merkitysten muodostajana nousee keskeiseksi. ”Litany” on selkeästi metatekstuaalinen runo, jossa fiktiivinen taso sekoittuu runouden, taiteen ja kritiikin mahdollisuuksien pohdintaan. Runo hahmottelee uudenlaista, moniäänistä teorian ja runouden rajoja purkavaa kommunikaation muotoa. Toisen persoonan pronominien voidaan runossa usein ajatella puhuttelevan lukijaa. Your Name Here -kokoelmassa puolestaan toisen persoonan pronominipositiot määrittyvät usein tietyiksi henkilöhahmoiksi runojen maailmassa, ja pronominipositioiden kautta runoissa rakentuu moniäänisiä dialogeja määrittymättömien henkilöhahmojen välille. Näin lukijan huomio suunnataan ensisijaisesti kommunikaation ja arkipäivän kielenkäytön kliseiden sävyihin ja asiayhteyksiin pikemminkin kuin yksittäisten lausumien sisältöön. A Nest of Ninnies -romaani toimii näennäisestä dialogisuudestaan huolimatta ennen kaikkea yksiäänisesti, sillä romaanin yksiulotteisten henkilöhahmojen esittämiä ajatuksia hallitsee parodioimaan pyrkivä kertojanääni. Ashberyn runojen ja romaanin tarkasteleminen osoittaa, että käsitys runoudesta väistämättä yksiäänisenä ja romaanista moniäänisenä ei ole kaikilta osin ongelmaton. Moniääninen, monimerkityksinen runo voi tarjota toiselle itsenäisen aseman.

Prototypical Arthropod Gene Content and Genome Organisation in the Centipede Strigamia maritima

Myriapods (e.g., centipedes and millipedes) display a simple homonomous body plan relative to other arthropods. All members of the class are terrestrial, but they attained terrestriality independently of insects. Myriapoda is the only arthropod class not represented by a sequenced genome. We present an analysis of the genome of the centipede Strigamia maritima. It retains a compact genome that has undergone less gene loss and shuffling than previously sequenced arthropods, and many orthologues of genes conserved from the bilaterian ancestor that have been lost in insects. Our analysis locates many genes in conserved macro-synteny contexts, and many small-scale examples of gene clustering. We describe several examples where S. maritima shows different solutions from insects to similar problems. The insect olfactory receptor gene family is absent from S. maritima, and olfaction in air is likely effected by expansion of other receptor gene families. For some genes S. maritima has evolved paralogues to generate coding sequence diversity, where insects use alternate splicing. This is most striking for the Dscam gene, which in Drosophila generates more than 100,000 alternate splice forms, but in S. maritima is encoded by over 100 paralogues. We see an intriguing linkage between the absence of any known photosensory proteins in a blind organism and the additional absence of canonical circadian clock genes. The phylogenetic position of myriapods allows us to identify where in arthropod phylogeny several particular molecular mechanisms and traits emerged. For example, we conclude that juvenile hormone signalling evolved with the emergence of the exoskeleton in the arthropods and that RR-1 containing cuticle proteins evolved in the lineage leading to Mandibulata. We also identify when various gene expansions and losses occurred. The genome of S. maritima offers us a unique glimpse into the ancestral arthropod genome, while also displaying many adaptations to its specific life history.

Morphological priming in Spanish verb forms: an ERP repetition priming study

The ERP repetition priming paradigm has been shown to be sensitive to the processing differences between regular and irregular verb forms in English and German. The purpose of the present study is to extend this research to a language with a different inflectional system, Spanish. The design (delayed visual repetition priming) was adopted from our previous study on English, and the specific linguistic phenomena we examined are priming relations between different kinds of stem (or root) forms. There were two experimental conditions: In the first condition, the prime and the target shared the same stem form, e.g., "ando-andar" [I walk-to walk], whereas in the second condition, the prime contained a marked (alternated) stem, e.g., "duermo-dormir" [I sleep-to sleep]. A reduced N400 was found for unmarked (nonalternated) stems in the primed condition, whereas marked stems showed no such effect. Moreover, control conditions demonstrated that the surface form properties (i.e., the different degree of phonetic and orthographic overlap between primes and targets) do not explain the observed priming difference. The ERP priming effect for verb forms with unmarked stems in Spanish is parallel to that found for regularly inflected verb forms in English and German. We argue that effective priming is possible because prime target pairs such as "ando-andar" access the same lexical entry for their stems. By contrast, verb forms with alternated stems (e.g., "duermo") constitute separate lexical entries, and are therefore less powerful primes for their corresponding base forms.

Development and validation of UV spectrophotometric method for determination of levofloxacin in pharmaceutical dosage forms

The objective of this research was to develop and validate an alternative analytical method for quantitative determination of levofloxacin in tablets and injection preparations. The calibration curves were linear over a concentration range from 3.0 to 8.0 μg mL-1. The relative standard deviation was below 1.0% for both formulations and average recovery was 101.42 ± 0.45% and 100.34 ± 0.85% for tablets and injection formulations, respectively. The limit of detection and limit of quantitation were 0.08 and 0.25 μg mL-1, respectively. It was concluded that the developed method is suitable for the quality control of levofloxacin in pharmaceuticals formulations.

Development and validation of a dissolution test with reversed-phase liquid chromatography analysis for rupatadine in tablet dosage forms

A dissolution test for in vitro evaluation of tablet dosage forms containing 10 mg of rupatadine was developed and validated by RP-LC. A discriminatory dissolution method was established using apparatus paddle at a stirring rate of 50 rpm with 900 mL of deaerated 0.01 M hydrochloric acid. The proposed method was validated yielding acceptable results for the parameters evaluated, and was applied for the quality control analysis of rupatadine tablets, and to evaluate the formulation during an accelerated stability study. Moreover, quantitative analyses were also performed, to compare the applicability of the RP-LC and the LC-MS/MS methods.

Simultaneous determination of gemifloxacin and diuretics in bulk, pharmaceutical dosage forms and human serum by RP-HPLC

An isocratic reversed phase high-performance liquid chromatographic (RP-HPLC) method has been developed for the simultaneous determination of gemifloxacin and diuretics (hydrochlorothiazide and furosemide) in bulk, dosage formulations and human serum at 232 nm. Chromatographic separation was achieved on Purospher Start C18 (250 mm x 4.6 mm, 5 µm) column using mobile phase, methanol: water: acetonitrile (70:25:5 v/v/v) adjusted to pH 3.0 via phosphoric acid 85% having flow rate of 0.8 mL min -1 at room temperature. Calibration curves were linear over range of 0.5-10 µg mL -1 with a correlation coefficient ± 0.999. LOD and LOQ were in the ranges of 0.75-2.56 µg mL -1. Intra and inter-run precision and accuracy results were 98.26 to 100.9.

Development and validation of a stability-indicating UPLC method for rosuvastatin and its related impurities in pharmaceutical dosage forms

The present work describes a novel stability-indicating reversed-phase ultra performance liquid chromatography method for the separation and quantification of rosuvastatin (RSV) and its related impurities in the pharmaceutical dosage forms under forced degradation conditions. An unknown degradation impurity detected in the acid degradation was identified by using quadrupole time-of-flight mass spectrometry. The chromatographic separation was carried out on C-18 column (100 x 2.1 mm, 1.7 μm) using isocratic elution with methanol and 0.1% trifluoroacetic acid (50:50). The total run time was 12 min within which RSV as well as all related impurities and degradation products were separated. The developed method was validated for RSV and related impurities in pharmaceutical dosage forms.