Number Theory, Trace Formulas and Discrete Groups
Symposium in Honor of Atle Selberg, Oslo, Norway, July 14–21, 1987
- 1st Edition - February 28, 1989
- Imprint: Academic Press
- Editors: Karl Egil Aubert, Enrico Bombieri, Dorian Goldfeld
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 2 - 0 2 8 0 - 8
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 1 6 2 3 - 2
Number Theory, Trace Formulas and Discrete Groups: Symposium in Honor of Atle Selberg Oslo, Norway, July 14-21, 1987 is a collection of papers presented at the 1987 Selberg… Read more
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Request a sales quoteNumber Theory, Trace Formulas and Discrete Groups: Symposium in Honor of Atle Selberg Oslo, Norway, July 14-21, 1987 is a collection of papers presented at the 1987 Selberg Symposium, held at the University of Oslo. This symposium contains 30 lectures that cover the significant contribution of Atle Selberg in the field of mathematics. This book is organized into three parts encompassing 29 chapters. The first part presents a brief introduction to the history and developments of the zeta-function. The second part contains lectures on Selberg's considerable research studies on understanding the principles of several aspects of mathematics, including in modular forms, the Riemann zeta function, analytic number theory, sieve methods, discrete groups, and trace formula. The third part is devoted to Selberg's further research works on these topics, with particular emphasis on their practical applications. Some of these research studies, including the integral representations of Einstein series and L-functions; first eigenvalue for congruence groups; the zeta function of a Kleinian group; and the Waring's problem are discussed. This book will prove useful to mathematicians, researchers, and students.
Contributors
Participants in the Selberg Symposium
Preface
Foreword
Historical Introduction
1. Prehistory of the Zeta-Function
Survey Lectures on Selberg’S Work
2. The Trace Formula and Hecke Operators
3. Selberg’s Sieve and Its Applications
4. The Rankin-Selberg Method: A Survey
5. On the Base Change Problem: After J. Arthur and L. Clozel
6. Eisenstein Series, the Trace Formula, and the Modern Theory of Automorphic Forms
7. Selberg’s Work on the Zeta Function
8. Selberg’s Work on the Arithmeticity of Lattices and Its Ramifications
Research Announcements
9. Mean Values of the Riemann Zeta Function with Application to the Distribution of Zeros
10. Geometric Ramanujan Conjecture and Drinfeld Reciprocity Law
11. On the Brun-Titchmarsh Theorem
12. A Double Sum over Primes and Zeros of the Zeta Function
13. Integral Representations of Eisenstein Series and L-Functions
14. Recent Results on Automorphic L-Functions
15. Explicit Formulae as Trace Formulae
16. Some Remarks on the Sieve Method
17. Critical Zeros of GL(2) L-Functions
18. A New Upper Bound in the Linear Sieve
19. On the Distribution of log
- Edition: 1
- Published: February 28, 1989
- No. of pages (eBook): 532
- Imprint: Academic Press
- Language: English
- Paperback ISBN: 9781483202808
- eBook ISBN: 9781483216232
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