Über die Picard'schen gruppen aus dem zahlkörper der dritten und der vierten einheitswurzel ...

Available on demand as hard copy or computer file from Cornell University Library.

Abriss einer theorie der algebraischen funktionen einer veränderlichen in neuer fassung ...

Available on demand as hard copy or computer file from Cornell University Library.

Über die elliptischen normalcurven der N[superscript ten] ordnung und zugehörige modulfunctionen der N[superscript ten] stufe,

Available on demand as hard copy or computer file from Cornell University Library.

Traité d'analyse,

Available on demand as hard copy or computer file from Cornell University Library.

A short treatise on the principles of the differential and integral calculus.

With an appendix containing some alterations in the author's "Principles of the algebraic theory of curves."

Théorie des fonctions algébriques de deux variables indépendantes,

Mode of access: Internet.

The Boston colloquium. Lectures on mathematics delivered from September 2 to 5, 1903, before members of the American Mathematical Society in connection with the summer meeting held at the Massachusetts Institute of Technology, Boston, Mass.,

"Bibliography of memoirs relating to algebraic continued fractions": p. 167-187.

Structure of rings.

Bibliography: p. 251-259.

On Selmer groups and factoring p-adic L-functions

Thesis (Ph.D.)--University of Washington, 2016-06

Results on singularities of pairs

Thesis (Ph.D.)--University of Washington, 2016-06

Computational aspects of modular parametrizations of elliptic curves

Thesis (Ph.D.)--University of Washington, 2016-06

Testing Independence in High Dimensions & Identifiability of Graphical Models

Thesis (Ph.D.)--University of Washington, 2016-06

Exact solution, scaling behaviour and quantum dynamics of a model of an atom-molecule Bose-Einstein condensate

0We study the exact solution for a two-mode model describing coherent coupling between atomic and molecular Bose-Einstein condensates (BEC), in the context of the Bethe ansatz. By combining an asymptotic and numerical analysis, we identify the scaling behaviour of the model and determine the zero temperature expectation value for the coherence and average atomic occupation. The threshold coupling for production of the molecular BEC is identified as the point at which the energy gap is minimum. Our numerical results indicate a parity effect for the energy gap between ground and first excited state depending on whether the total atomic number is odd or even. The numerical calculations for the quantum dynamics reveals a smooth transition from the atomic to the molecular BEC.

Exact solution of the XXZ Gaudin model with generic open boundaries

The XXZ Gaudin model with generic integrable boundaries specified by generic non-diagonal K-matrices is studied. The commuting families of Gaudin operators are diagonalized by the algebraic Bethe ansatz method. The eigenvalues and the corresponding Bethe ansatz equations are obtained. (C) 2004 Elsevier B.V. All rights reserved.