Emmanuel Kowalski (Zurich Swiss Federal Institute of Technology)

An Introduction to Probabilistic Number Theory

• Gebundenes Buch

Produktbeschreibung

Probabilistic number theory studies the many surprising interactions between whole numbers and the theory of random processes. This incisive textbook for beginning graduate students is the first to present and explain some of the most modern developments in the field, focusing on key examples and probabilistic ideas in the arguments.

Produktdetails

• Cambridge Studies in Advanced Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 270
• Erscheinungstermin: 6. Mai 2021
• Englisch
• Abmessung: 235mm x 157mm x 21mm
• Gewicht: 552g
• ISBN-13: 9781108840965
• ISBN-10: 1108840965
• Artikelnr.: 60581280

Autorenporträt

Emmanuel Kowalski is Professor in the Mathematics Department of the Swiss Federal Institute of Technology, Zurich. He is the author of five previous books, including the widely cited Analytic Number Theory (2004) with H. Iwaniec, which is considered to be the standard graduate textbook for analytic number theory.

Inhaltsangabe

1. Introduction
2. Classical probabilistic number theory
3. The distribution of values of the Riemann zeta function, I
4. The distribution of values of the Riemann zeta function, II
5. The Chebychev bias
6. The shape of exponential sums
7. Further topics
Appendix A. Analysis
Appendix B. Probability
Appendix C. Number theory
References
Index.