"Searching for small gaps between consecutive primes is one way to approach the twin primes conjecture, one of the most celebrated unsolved problems in number theory. This book documents the remarkable developments of recent decades, whereby an upper bound on the known gap lengt…
"This book is an introductory and comprehensive presentation of the Riemann Hypothesis, one of the most important open questions in math today. It is introductory because it is written in an accessible and detailed format that makes it easy to read and understand. And it is comp…
"This book is an introductory and comprehensive presentation of the Riemann Hypothesis, one of the most important open questions in math today. It is introductory because it is written in an accessible and detailed format that makes it easy to read and understand. And it is comp…
And then there were infinitely many -- Asymptotic estimates -- Combinatorial ways to count primes -- The Dirichlet convolution -- Dirichlet series -- An explicit formula for counting primes -- The Riemann zeta function -- The Perron inversion formula -- The prime number theorem …
And then there were infinitely many -- Asymptotic estimates -- Combinatorial ways to count primes -- The Dirichlet convolution -- Dirichlet series -- An explicit formula for counting primes -- The Riemann zeta function -- The Perron inversion formula -- The prime number theorem …
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 re…
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 re…
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 re…
by Davenport, Harold, Montgomery Hugh L.
fromGraduate Texts in Mathematics
Although it was in print for a short time only, the original edition of Multiplicative Number Theory had a major impact on research and on young mathematicians. By giving a connected account of the large sieve and Bombieri's theorem, Professor Davenport made accessible an import…