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An Introduction to Probabilistic Number Theory (Hardcover)
Loot Price: R1,266
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An Introduction to Probabilistic Number Theory (Hardcover)
Series: Cambridge Studies in Advanced Mathematics
Expected to ship within 12 - 17 working days
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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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