Contributions in Analytic and Algebraic Number Theory [electronic resource] : Festschrift for S. J. Patterson / edited by Valentin Blomer, Preda Mihilescu.

Preface -- The Density of Rational Points on a Certain Threefold (V. Blomer, J. Brȭdern) -- Affine Gindikin-Karpelevich Formula via Uhlenbech Spaces (A. Braverman, M. Finklberg, D. Kazhdan) -- Daniels Twists of Hooleys Delta Function (J. Brȭdern) -- 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 PoinecarȨ Series for Kleinian Groups (M. Kesselbȵhmer, B. O. Stratmann) -- References.

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 ǣPatterson 60++ International Conference on the Occasion of the 60th Birthday of Samuel J. Patterson,ǥ held at the University of Gȵttingen, 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 ofmathematics. It is intended for graduate students and researchers of number theory as well as applied mathematicians interested in this broad field.

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