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.
Table of Content
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 GLr–1 (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.
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