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An Introduction to Probabilistic Number Theory (Cambridge Studies in Advanced Mathematics, Series Number 192) free ebook download

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Mathematics

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Author(s):	Emmanuel Kowalski

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	1108840965
Pages:	250	OCR:		Quality:		ISBN13:
Uploader:	stirkout	Upload Date:	11/22/2023 3:28:55 PM

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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.
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3209350	Book	https://nitroflare.com/view/207B5D8EAFC6...		0.00	stirkout

Tags: Advanced Cambridge Introduction Mathematics Number Number Probabilistic Studies Theory

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An Introduction to Probabilistic Number Theory (Cambridge Studies in Advanced Mathematics, Series Number 192) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics