An Introduction to Probabilistic Number Theory (Hardcover)

Emmanuel Kowalski

ISBN 10: 1108840965 / ISBN 13: 9781108840965

Verlag: Cambridge University Press, Cambridge, 2021

Beschreibung

Hardcover. 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. 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Bestandsnummer des Verkäufers 9781108840965

Bibliografische Details

Titel: An Introduction to Probabilistic Number ...

Verlag: Cambridge University Press, Cambridge

Erscheinungsdatum: 2021

Einband: Hardcover

Zustand: new