A Primer of Analytic Number Theory: From Pythagoras to Riemann by Jeffrey Stopple

A Primer of Analytic Number Theory: From Pythagoras to Riemann



Download A Primer of Analytic Number Theory: From Pythagoras to Riemann




A Primer of Analytic Number Theory: From Pythagoras to Riemann Jeffrey Stopple
Language: English
Page: 399
Format: pdf
ISBN: 0521813093, 9780521813099
Publisher: Cambridge University Press

This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. Jeffrey Stopple pays special attention to the rich history of the subject and ancient questions on polygonal numbers, perfect numbers and amicable pairs, as well as to the important open problems. The culmination of the book is a brief presentation of the Riemann zeta function, which determines the distribution of prime numbers, and of the significance of the Riemann Hypothesis.

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