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An introduction to sieve methods and their applications
Authors: --- ---
ISBN: 9780511615993 9780521848169 9780521612753 0511132859 9780511132858 0511131496 9780511131493 9780511132315 051113231X 051161599X 9780511438851 0511438850 0521848164 0521612756 1107152933 0511200870 051156791X Year: 2006 Publisher: Cambridge ; New York : Cambridge University Press,

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Abstract

Sieve theory has a rich and romantic history. The ancient question of whether there exist infinitely many twin primes (primes p such that p+2 is also prime), and Goldbach's conjecture that every even number can be written as the sum of two prime numbers, have been two of the problems that have inspired the development of the theory. This book provides a motivated introduction to sieve theory. Rather than focus on technical details which can obscure the beauty of the theory, the authors focus on examples and applications, developing the theory in parallel. The text can be used for a senior level undergraduate course or an introductory graduate course in analytic number theory, and non-experts can gain a quick introduction to the techniques of the subject.


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Women in Numbers Europe III : Research Directions in Number Theory
Authors: --- ---
ISBN: 9783030777005 9783030777012 9783030777029 9783030776992 Year: 2021 Publisher: Cham Springer International Publishing

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Abstract

This volume includes articles spanning several research areas in number theory, such as arithmetic geometry, algebraic number theory, analytic number theory, and applications in cryptography and coding theory. Most of the articles are the results of collaborations started at the 3rd edition of the Women in Numbers Europe (WINE) conference between senior and mid-level faculty, junior faculty, postdocs, and graduate students. The contents of this book should be of interest to graduate students and researchers in number theory.

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