Farkas H.M., Gunning R.C., Knopp M.I., Taylor B.A. (Eds.) From Fourier Analysis and Number Theory to Radon Transforms and Geometry: In Memory of Leon Ehrenpreis

Springer, 2013. — 562 p. — (Developments in Mathematics 28). — ISBN: 1461440742.This is a volume of papers dedicated to the memory of Leon Ehrenpreis. Although
Leon was primarily an analyst, whose best known results deal with partial differential
equations, he was also very interested in and made significant contributions to the fields of Riemann surfaces (both the algebraic and geometric theories), number theory (both analytic and combinatorial), and geometry in general.
The contributors to this volume are mathematicians who appreciated Leon’s unique view of mathematics; most knew him well and admired his work, character, and unbounded energy. For the most part the papers are original contributions to areas of mathematics in which Leon worked; so this volume may convey a sense of the breadth of his interests.
The papers cover topics in number theory and modular forms, combinatorial number theory, representation theory, pure analysis, and topics in applied mathematics such as population biology and parallel refractors. Almost any mathematician will find articles of professional interest here.A Biography of Leon Ehrenpreis
Differences of Partition Functions: The Anti-telescoping Method
The Extremal Plurisubharmonic Function for Linear Growth
Mahonian Partition Identities via Polyhedral Geometry
Second-OrderModular Forms with Characters
Disjointness ofMoebius from Horocycle Flows
Duality and Differential Operators for Harmonic Maass Forms
Function Theory Related to the Group PSL2(R)
Analysis of Degenerate Diffusion Operators Arising in Population Biology
A Matrix Related to the Theorem of Fermat and the Goldbach Conjecture
Continuous Solutions of Linear Equations
Recurrence for Stationary Group Actions
On the Honda - Kaneko Congruences
Some Intrinsic Constructions on Compact Riemann Surfaces
The Parallel Refractor
On a Theorem of N. Katz and Bases in Irreducible Representations
Vector-ValuedModular Forms with an Unnatural Boundary
Loss of Derivatives
On an Oscillatory Result for the Coefficients of General Dirichlet Series
Representation Varieties of Fuchsian Groups
Two Embedding Theorems
Cubature Formulas and Discrete Fourier Transform on Compact Manifolds
The Moment Zeta Function and Applications
A Transcendence Criterion for CM on Some Families of Calabi–YauManifolds
Ehrenpreis and the Fundamental Principle
Minimal Entire Functions
A Conjecture by Leon Ehrenpreis About Zeroes of Exponential Polynomials
The Discrete Analog of the Malgrange–Ehrenpreis Theorem
The Legacy of Leon Ehrenpreis