Distribution of prime numbers

By:

Koukoulopoulos, Dimitris

Series: Graduate studies in mathematics; 203Publication details: American Mathematical Society, 2019. Providence, Rhode Island:Description: xii, 356p.; pbk; 26cmISBN:

9781470447540

Subject(s):

DDC classification:

512.73 KOU

Summary: Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic notions of asymptotic estimates and arriving at the forefront of mathematical research. Detailed proofs of the recent spectacular advances on small and large gaps between primes are made accessible for the first time in textbook form. Some other highlights include an introduction to probabilistic methods, a detailed study of sieves, and elements of the theory of pretentious multiplicative functions leading to a proof of Linnik's theorem. https://bookstore.ams.org/gsm-203/#:~:text=Prime%20numbers%20have%20fascinated%20mathematicians,the%20forefront%20of%20mathematical%20research.

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	512.73 KOU (Browse shelf(Opens below))	1	Available		031463

Includes bibliography and index

Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic notions of asymptotic estimates and arriving at the forefront of mathematical research. Detailed proofs of the recent spectacular advances on small and large gaps between primes are made accessible for the first time in textbook form. Some other highlights include an introduction to probabilistic methods, a detailed study of sieves, and elements of the theory of pretentious multiplicative functions leading to a proof of Linnik's theorem.

https://bookstore.ams.org/gsm-203/#:~:text=Prime%20numbers%20have%20fascinated%20mathematicians,the%20forefront%20of%20mathematical%20research.

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