An
introduction to probabilistic number theory
Kowalski, Emmanuel
1969-
creator
author.
text
bibliography
enk
2021
monographic
eng
pages cm.
"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"--
Emmanuel Kowalski, Swiss Federal Institute of Technology, Zurich.
Includes bibliographical references and index.
Probabilistic number theory
QA241.7 .K69 2021
512.7 KOW
Cambridge studies in advanced mathematics ; 192
An introduction to probabilistic number theory
Kowalski, Emmanuel, 1969-
New York : Cambridge University Press, 2021.
1.
(DLC) 2021002812
9781108840965
2021002811
DLC
210217
20230829185834.0
21907471
eng