From Fourier Analysis and Number Theory to Radon Transforms and Geometry

1. Front Matter

   Pages i-xxviii

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2. Differences of Partition Functions: The Anti-telescoping Method

   • George E. Andrews

   Pages 1-20

3. The Extremal Plurisubharmonic Function for Linear Growth

   • David Bainbridge

   Pages 21-39

4. Mahonian Partition Identities via Polyhedral Geometry

   • Matthias Beck, Benjamin Braun, Nguyen Le

   Pages 41-54

5. Second-Order Modular Forms with Characters

   • Thomas Blann, Nikolaos Diamantis

   Pages 55-66

6. Disjointness of Moebius from Horocycle Flows

   • J. Bourgain, P. Sarnak, T. Ziegler

   Pages 67-83

7. Duality and Differential Operators for Harmonic Maass Forms

   • Kathrin Bringmann, Ben Kane, Robert C. Rhoades

   Pages 85-106

8. Function Theory Related to the Group PSL2(ℝ)

   • R. Bruggeman, J. Lewis, D. Zagier

   Pages 107-201

9. Analysis of Degenerate Diffusion Operators Arising in Population Biology

   • Charles L. Epstein, Rafe Mazzeo

   Pages 203-216

10. A Matrix Related to the Theorem of Fermat and the Goldbach Conjecture

    • Hershel M. Farkas

    Pages 217-232

11. Continuous Solutions of Linear Equations

    • Charles Fefferman, János Kollár

    Pages 233-282

12. Recurrence for Stationary Group Actions

    • Hillel Furstenberg, Eli Glasner

    Pages 283-291

13. On the Honda - Kaneko Congruences

    • P. Guerzhoy

    Pages 293-302

14. Some Intrinsic Constructions on Compact Riemann Surfaces

    • Robert C. Gunning

    Pages 303-324

15. The Parallel Refractor

    • Cristian E. Gutiérrez, Federico Tournier

    Pages 325-334

16. On a Theorem of N. Katz and Bases in Irreducible Representations

    • David Kazhdan

    Pages 335-340

17. Vector-Valued Modular Forms with an Unnatural Boundary

    • Marvin Knopp, Geoffrey Mason

    Pages 341-352

18. Loss of Derivatives

    • J. J. Kohn

    Pages 353-369

19. On an Oscillatory Result for the Coefficients of General Dirichlet Series

    • Winfried Kohnen, Wladimir de Azevedo Pribitkin

    Pages 371-374

20. Representation Varieties of Fuchsian Groups

    • Michael Larsen, Alexander Lubotzky

    Pages 375-397

​​​A memorial conference for Leon Ehrenpreis was held at Temple University, November 15-16, 2010. In the spirit of Ehrenpreis’s contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of subjects that Ehrenpreis traversed in his career, including partial differential equations, combinatorics, number theory, complex analysis and a bit of applied mathematics. With the exception of one survey article, the papers in this volume are all new results in the various fields in which Ehrenpreis worked .  There are papers in pure analysis, papers in number theory, papers in what may be called applied mathematics such as population biology and parallel refractors and papers in partial differential equations. The mature mathematician will find new mathematics and the advanced graduate student will find many new ideas to explore.​A biographical sketch of Leon Ehrenpreis by his daughter, a professional journalist, enhances the memorial tribute and gives the reader a glimpse into the life and career of a great mathematician.

• combinatorics
• complex analysis
• number theory
• parrallel refractors
• partial differential equations
• population biology

• , Einstein Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel

  Hershel M. Farkas

• , Department of Mathematics, Princeton University, Princeton, USA

  Robert C. Gunning

• , Department of Mathematics, Temple University, Philadelphia, USA

  Marvin I. Knopp

• , Department of Mathematics, University of Michigan, Ann Arbor, USA

  B. A. Taylor

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