Number theory, trace formulas, and discrete groups : symposium in honor of Atle Selberg, Oslo, Norway, July 14-21, 1987 /

Number Theory, Trace Formulas and Discrete Groups.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Aubert, Karl Egil (Editor ), Bombieri, Enrico, 1940- (Editor ), Goldfeld, D. (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston : Academic Press, [1989]
Temas:
Selberg, Atle > Congresses.
Selberg, Atle > Congr�es.
Selberg, Atle
Selberg trace formula > Congresses.
Number theory > Congresses.
Discrete groups > Congresses.
Formule de trace de Selberg > Congr�es.
Th�eorie des nombres > Congr�es.
Groupes discrets > Congr�es.
MATHEMATICS > Algebra > Intermediate.
Discrete groups
Number theory
Selberg trace formula
Selberg-Spurformel
Kongress
Zahlentheorie
Diskrete Gruppe
Nombres, Th�eorie des > Congr�es.
Congress
proceedings (reports)
Festschriften
Conference papers and proceedings
Festschriften.
Conference papers and proceedings.
Actes de congr�es.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front Cover; Number Theory, Trace Formulas and Discrete Groups: Symposium in Honor of Atle SelbergOslo, Norway, July 14-21, 1987; Copyright Page; Table of Contents; Contributors; Participants in the Selberg Symposium, 1987; Preface; Foreword; PART I: HISTORICAL INTRODUCTION; Chapter 1.Prehistory of the Zeta-Function; References; PART II: SURVEY LECTURES ON SELBERG'S WORK; Chapter 2.The Trace Formula and Hecke Operators; 1; 2; 3; 4; References; Note Added in Proof; Chapter 3.Selberg's Sieve and Its Applications; 1; 2. Selberg's Sieve; 3. Further Developments; References
  • 5. Existence of Nonarithmetic Lattices in O(ra, 1) for n > 16. Nonarithmetic Lattices in U(n, 1); 7. Other Rigidity Phenomena; References; PART III: RESEARCH ANNOUNCEMENTS; Chapter 9.Mean Values of the Riemann Zeta-Function with Application to the Distribution of Zeros; 1; 2; 3; 4; 5. Concluding Remarks; References; Note added in proof; Chapter 10. Geometric Ramanujan Conjecture and Drinfeld Reciprocity Law; Integrality Conjecture; Purity Theorem; Reciprocity Law; Existence Theorem 1; Converse Theorem; Drinfeld Reciprocity Law; Grothendieck Fixed Point Formula; Lefschetz Fixed-Point Formula
  • Deligne's ConjectureTrace Formula; Congruence Relations; Corollary; References; Chapter 11. On the Brun-Titchmarsh Theorem; Results on Average; References; Note Added in Proof; Chapter 12. A Double Sum Over Primes and Zeros of the Zeta-Function; 1. Application of the Landau-Gonek Formula and Reduction to BR,S; 2. Application of the Second Moment Bounds; 3. Application of Guinand's Formula and MC; References; Chapter 13. Integral Representations of Eisenstein series and L-functions; 1. Automorphic Forms on Some Classical Groups; 2. Statement of the Theorems; 3. Proof of the Main Formula

Ejemplares similares