Multiplicative Number Theory

Multiplicative Number Theory
Author :
Publisher : Springer Science & Business Media
Total Pages : 188
Release :
ISBN-10 : 9781475759273
ISBN-13 : 1475759274
Rating : 4/5 (73 Downloads)

Book Synopsis Multiplicative Number Theory by : H. Davenport

Download or read book Multiplicative Number Theory written by H. Davenport and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 important body of new discoveries. With this stimula tion, such great progress was made that our current understanding of these topics extends well beyond what was known in 1966. As the main results can now be proved much more easily. I made the radical decision to rewrite §§23-29 completely for the second edition. In making these alterations I have tried to preserve the tone and spirit of the original. Rather than derive Bombieri's theorem from a zero density estimate tor L timctions, as Davenport did, I have chosen to present Vaughan'S elementary proof of Bombieri's theorem. This approach depends on Vaughan's simplified version of Vinogradov's method for estimating sums over prime numbers (see §24). Vinogradov devised his method in order to estimate the sum LPH e(prx); to maintain the historical perspective I have inserted (in §§25, 26) a discussion of this exponential sum and its application to sums of primes, before turning to the large sieve and Bombieri's theorem. Before Professor Davenport's untimely death in 1969, several mathematicians had suggested small improvements which might be made in Multiplicative Number Theory, should it ever be reprinted.


Multiplicative Number Theory Related Books

Multiplicative Number Theory
Language: en
Pages: 188
Authors: H. Davenport
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

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.
Multiplicative Number Theory I
Language: en
Pages: 574
Authors: Hugh L. Montgomery
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

A 2006 text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State.
Topics in Multiplicative Number Theory
Language: en
Pages: 187
Authors: Hugh L. Montgomery
Categories: Mathematics
Type: BOOK - Published: 2006-11-15 - Publisher: Springer

DOWNLOAD EBOOK

Famous Functions in Number Theory
Language: en
Pages: 203
Authors: Bowen Kerins
Categories: Education
Type: BOOK - Published: 2015-10-15 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Famous Functions in Number Theory is based on a course offered i
Introduction to Analytic and Probabilistic Number Theory
Language: en
Pages: 180
Authors: G. Tenenbaum
Categories: Mathematics
Type: BOOK - Published: 1995-06-30 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This is a self-contained introduction to analytic methods in number theory, assuming on the part of the reader only what is typically learned in a standard unde