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Multiplicative number theory I: Classical theory

โœ Scribed by Hugh L. Montgomery, Robert C. Vaughan

Book ID
127455357
Publisher
Cambridge University Press
Year
2006
Tongue
English
Weight
2 MB
Series
Cambridge Studies in Advanced Mathematics
Edition
CUP
Category
Library
ISBN
0511257465

No coin nor oath required. For personal study only.

โœฆ Synopsis

Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular, their finer distribution is closely connected with the Riemann hypothesis, the most important unsolved problem in the mathematical world. This book comprehensively covers all the topics met in first courses on multiplicative number theory and the distribution of prime numbers. The text is based on courses taught successfully over many years at the University of Michigan, Imperial College, London and Pennsylvania State University.

๐Ÿ“œ SIMILAR VOLUMES

Multiplicative Number Theory I. Classica
Multiplicative Number Theory I. Classical Theory
โœ Montgomery H.L., Vaughan R.C. ๐Ÿ“‚ Library ๐Ÿ“… 2006 ๐ŸŒ English โš– 5 MB

A text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State.

Multiplicative number theory
Multiplicative number theory
โœ Harold Davenport ๐Ÿ“‚ Library ๐Ÿ“… 1982 ๐Ÿ› Springer ๐ŸŒ English โš– 1 MB

This book thoroughly examines the distribution of prime numbers in arithmetic progressions. It covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetical progressions, the theorem of Siegel, and functional equations of the L-functions and their c