Contributions in Analytic and Algebraic Number Theory

Festschrift for S. J. Patterson

  • Valentin Blomer
  • Preda Mihăilescu
Conference proceedings

DOI: 10.1007/978-1-4614-1219-9

Part of the Springer Proceedings in Mathematics book series (PROM, volume 9)

Table of contents (10 papers)

  1. Front Matter
    Pages i-xviii
  2. The Density of Rational Points on a Certain Threefold
    Valentin Blomer, Jörg Brüdern
    Pages 1-15
  3. Affine Gindikin–Karpelevich Formula via Uhlenbeck Spaces
    Alexander Braverman, Michael Finkelberg, David Kazhdan
    Pages 17-29
  4. Coefficients of the n-Fold Theta Function and Weyl Group Multiple Dirichlet Series
    Benjamin Brubaker, Daniel Bump, Solomon Friedberg, Jeffrey Hoffstein
    Pages 83-95
  5. Towards the Trace Formula for Convex-Cocompact Groups
    Ulrich Bunke, Martin Olbrich
    Pages 97-148
  6. Double Dirichlet Series and Theta Functions
    Gautam Chinta, Solomon Friedberg, Jeffrey Hoffstein
    Pages 149-170
  7. The Patterson Measure: Classics, Variations and Applications
    Manfred Denker, Bernd O. Stratmann
    Pages 171-195
  8. Moments for L-Functions for GLr×GLr-1
    Adrian Diaconu, Paul Garrett, Dorian Goldfeld
    Pages 197-227
  9. A Note on the Algebraic Growth Rate of Poincaré Series for Kleinian Groups
    Marc Kesseböhmer, Bernd O. Stratmann
    Pages 237-245
  10. Back Matter
    Pages 247-290

About these proceedings


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.


Algebraic Number Theory Analytic Number Theory S.J. Patterson

Editors and affiliations

  • Valentin Blomer
    • 1
  • Preda Mihăilescu
    • 2
  1. 1., Mathematisches InstitutUniversität GöttingenGöttingenGermany
  2. 2.Mathematisches InstitutUniversität GöttingenGöttingenGermany

Bibliographic information

  • Copyright Information Springer Science+Business Media, LLC 2012
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-1218-2
  • Online ISBN 978-1-4614-1219-9
  • Series Print ISSN 2190-5614
  • Series Online ISSN 2190-5622