A Volume in Honor of Joseph A. Shalika

Edited by:
Haruzo Hida, Dinakar Ramakrishnan, and Freydoon Shahidi

FRONT MATTER AND PREFACE (pages i - viii)
ESSAY (pages ix - xii)
JOE SHALIKA AND THE FINE HALL DAYS, 1968-1971
By Stephen Gelbart

CHAPTER 1 (pages 1 - 38)
REPRESENTATION OF THE TWO BY TWO UNIMODULAR GROUP OVER LOCAL FIELDS
By Joseph A. Shalika

CHAPTER 2 (pages 39 - 56)
THETA-10
By Jeffrey Adams

CHAPTER 3 (pages 57 - 64)
DISCRETE SERIES CHARACTERS OF DIVISION ALGEBRAS AND GLn OVER A p-ADIC FIELD
By Jeffrey D. Adler, Lawrence Corwin, and Paul J. Sally, Jr.

CHAPTER 4 (pages 65 - 82)
AUTOMORPHIC REPRESENTATIONS OF GSp(4)
By James Arthur

CHAPTER 5 (pages 83 - 104)
ELLIPTIC CURVES, HILBERT MODULAR FORMS, AND THE HODGE CONJECTURE
By Don Blasius

CHAPTER 6 (pages 105 - 130)
ON THE GLOBAL GROSS-PRASAD CONJECTURE FOR YOSHIDA LIFTINGS
By Siegfried Böcherer, Masaaki Furusawa, and Rainer Schulze-Pillot

CHAPTER 7 (pages 131 - 162)
SUMS OF TWISTED GL(3) AUTOMORPHIC L-FUNCTIONS
By Daniel Bump, Solomon Friedberg, and Jeffrey Hoffstein

CHAPTER 8 (pages 163 - 192)
HARMONIC ANALYSIS OF THE SCHWARTZ SPACE OF Γ\SL2(R)
By Bill Casselman

CHAPTER 9 (pages 193 - 254)
EQUIDISTRIBUTION DES POINTS DE HECKE
By Laurent Clozel and Emmanuel Ullmo

CHAPTER 10 (pages 255 - 278)
REMARKS ON RANKIN-SELBERG CONVOLUTIONS
By James W. Cogdell and Ilya I. Piatetski-Shapiro

CHAPTER 11 (pages 279 - 312)
ON SOME GEOMETRIC CONSTRUCTIONS RELATED TO THETA CHARACTERISTICS
By Benedict H. Gross and Joe Harris

CHAPTER 12 (pages 313 - 330)
CAN p-ADIC INTEGRALS BE COMPUTED?
By Thomas C. Hales

CHAPTER 13 (pages 331 - 354)
OCCULT PERIOD INVARIANTS AND CRITICAL VALUES OF THE DEGREE FOUR L-FUNCTION OF GSp(4)
By Michael Harris

CHAPTER 14 (pages 355 - 372)
ON A CONJECTURE OF JACQUET
By Michael Harris and Stephen S. Kudla

CHAPTER 15 (pages 373 - 420)
INTEGRAL REPRESENTATION OF WHITTAKER FUNCTIONS
By Hervé Jacquet

CHAPTER 16 (pages 421 - 456)
A SPECTRAL IDENTITY FOR SKEW SYMMETRIC MATRICES
By Hervé Jacquet, Erez Lapid, and Stephen Rallis

CHAPTER 17 (pages 457 - 520)
GENERIC REPRESENTATIONS AND LOCAL LANGLANDS RECIPROCITY LAW FOR p-ADIC SO2n+1
By Dihua Jiang and David Soudry

CHAPTER 18 (pages 521 - 560)
LARSEN'S ALTERNATIVE, MOMENTS, AND THE MONODROMY OF LEFSCHETZ PENCILS
By Nicholas M. Katz

CHAPTER 19 (pages 561 - 572)
ON THE HOLOMORPHY OF CERTAIN L-FUNCTIONS
By Henry H. Kim and Freydoon Shahidi

CHAPTER 20 (pages 573 - 598)
RICHARDSON VARIETIES IN THE GRASSMANNIAN
By Victor Kreiman and V. Lakshmibai

CHAPTER 21 (pages 599 - 610)
TYPES AND COVERS FOR SL(2)
By Philip Kutzko

CHAPTER 22 (pages 611 - 698)
BEYOND ENDOSCOPY
By Robert P. Langlands

CHAPTER 23 (pages 699 - 710)
AN ANALOGUE OF A CONJECTURE OF MAZUR: A QUESTION IN DIOPHANTINE APPROXIMATION ON TORI
By Dipendra Prasad

CHAPTER 24 (pages 711 - 718)
EXISTENCE OF RAMANUJAN PRIMES FOR GL(3)
By Dinakar Ramakrishnan

CHAPTER 25 (pages 719 - 732)
NONVANISHING OF L-FUNCTIONS ON R(s) = 1
By Peter Sarnak

CHAPTER 26 (pages 733 - 742)
RATIONAL POINTS AND AUTOMORPHIC FORMS
By Joseph A. Shalika, Ramin Takloo-Bighash, and Yuri Tschinkel

CHAPTER 27 (pages 743 - 772)
HEIGHT ZETA FUNCTIONS OF EQUIVARIANT COMPACTIFICATIONS OF THE HEISENBERG GROUP
By Joseph A. Shalika and Yuri Tschinkel

CHAPTER 28 (pages 773 - 802)
ON HIGHEST WHITTAKER MODELS AND INTEGRAL STRUCTURES
By Marie-France Vignéras

CHAPTER 29 (pages 803 - 910)
REPRÉSENTATIONS DE RÉDUCTION UNIPOTENTE POUR SO(2N+1): QUELQUES CONSÉQUENCES D'UN ARTICLE DE LUSZTIG
By Jean-Loup Waldspurger