An Introduction to Probabilistic Number Theory

ISBN-13: 9781108840965 / Angielski / Twarda / 2021 / 250 str.

Emmanuel Kowalski

Opis

This introductory textbook for graduate students presents modern developments in probabilistic number theory, many for the first time.

Recenzje

'The book is very well written - as expected by an author who has already contributed very widely used and important books - and certainly belongs to all libraries of universities and research institutes. It has all the attributes to make a classic textbook in this fascinating domain.' Michael Th. Rassias, zbMATH

Spis treści

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.