An introduction to probabilistic number theory

Resource Information

The work An introduction to probabilistic number theory represents a distinct intellectual or artistic creation found in Sydney Jones Library, University of Liverpool. This resource is a combination of several types including: Work, Language Material, Books.

Label

An introduction to probabilistic number theory

Statement of responsibility

Emmanuel Kowalski, Swiss Federal Institute of Technology, Zurich

Creator

• Kowalski, Emmanuel, 1969-

Author

• Kowalski, Emmanuel, 1969-

Subject

• Probabilistic number theory

Language

eng

Summary

Despite its seemingly deterministic nature, the study of whole numbers, especially prime numbers, has many interactions with probability theory, the theory of random processes and events. This surprising connection was first discovered around 1920, but in recent years the links have become much deeper and better understood. Aimed at beginning graduate students, this textbook is the first to explain some of the most modern parts of the story. Such topics include the Chebychev bias, universality of the Riemann zeta function, exponential sums and the bewitching shapes known as Kloosterman paths. Emphasis is given throughout to probabilistic ideas in the arguments, not just the final statements, and the focus is on key examples over technicalities. The book develops probabilistic number theory from scratch, with short appendices summarizing the most important background results from number theory, analysis and probability, making it a readable and incisive introduction to this beautiful area of mathematics

Member of

• Cambridge studies in advanced mathematics, 192

Cataloging source

UkCbUP

Dewey number

512.7/6

Index

index present

LC call number

QA241.7

LC item number

.K69 2021

Literary form

non fiction

Nature of contents

dictionaries

Series statement

Cambridge studies in advanced mathematics

Series volume

192