Contributions in Analytic and Algebraic Number Theory

The text that comprises this volume is a collection of surveys and original works from experts in the fields of algebraic number theory, analytic number theory, harmonic analysis, and hyperbolic geometry. A portion of the collected contributions have been developed from lectures given at the "International Conference on the Occasion of the 60th Birthday of S. J. Patterson", held at the University Göttingen, July 27-29 2009. Many of the included chapters have been contributed by invited participants.

This volume presents and investigates the most recent developments in various key topics in analytic number theory and several related areas of mathematics.

The volume is intended for graduate students and researchers of number theory as well as applied mathematicians interested in this broad field.

Contributed volume is dedicated to Samual J. Patterson, and many of the articles in this volume were presented at the conference Patterson 60++ at the University of Göttingen in July 2009 on the occasion of his 60th birthday This volume covers a broad range of topics within the vast field of number theory and appeals to a broad readership Contributions to the book are the work of an international and select group of first-rate experts in the field of analytic number theory Includes supplementary material: sn.pub/extras

Klappentext

Contributions in Analytic and Algebraic Number Theory: Festschrift for S. J. Patterson is a collection of surveys and original work from experts in the fields of algebraic number theory, analytic number theory, harmonic analysis, and hyperbolic geometry. A portion of the collected contributions were developed from lectures presented at the Patterson 60++ International Conference on the Occasion of the 60th Birthday of Samuel J. Patterson, held at the University of Göttingen, July 27-29, 2009. Many of the included chapters were contributed by invited participants.

This volume presents and investigates the most recent developments in various key topics in analytic number theory and several related areas of mathematics. It is intended for graduate students and researchers of number theory as well as applied mathematicians interested in this broad field.

Inhalt

Preface.- The Density of Rational Points on a Certain Threefold (V. Blomer, J. Brüdern).- Affine Gindikin-Karpelevich Formula via Uhlenbech Spaces (A. Braverman, M. Finklberg, D. Kazhdan).- Daniel's Twists of Hooley's Delta Function (J. Brüdern).- Coefficients of the n-fold Theta Function and Weyl Group Multiple (B. Brubaker, D. Bump, S. Friedberg, J. Hoffstein).- Towards the Trace Formula for Convex-cocompact Groups (U. Bunkhe, M. Olbrich).- Double Dirichlet Series and Theta Functions (G. Chinta, S. Friedberg, J. Hoffstein).- The Patterson Measure: Classics, Variations, and Applications (M. Denker, B. O. Stratmann).- Moments for L-functions for GLr x GLr1 (A. Diaconu, P. Garrett, D. Goldfeld).- Further Remarks on the Exponent of Convergence and the Hausdorff Dimension of the Limit Set of Kleinian Groups (M. R. Hille).- A Note on the Algebraic Growth Rate of Poinecaré Series for Kleinian Groups (M. Kesselböhmer, B. O. Stratmann).- References.