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Multiplicative number theory

✍ Scribed by Harold Davenport

Book ID
127425825
Publisher
Springer
Year
1982
Tongue
English
Weight
1 MB
Series
Graduate Texts in Mathematics, Vol. 74
Edition
2nd
Category
Library
ISBN-13
9780387905334

No coin nor oath required. For personal study only.

✦ Synopsis

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 consequences for the distribution of prime numbers. In addition, a simplified, improved version of the large sieve method is presented. The 3rd edition includes a large number of revisions and corrections as well as a new section with references to more recent work in the field.

πŸ“œ SIMILAR VOLUMES

Multiplicative Number Theory I. Classica
Multiplicative Number Theory I. Classical Theory
✍ Montgomery H.L., Vaughan R.C. πŸ“‚ Library πŸ“… 2006 🌐 English βš– 5 MB

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

Multiplicative number theory I: Classica
Multiplicative number theory I: Classical theory
✍ Hugh L. Montgomery, Robert C. Vaughan πŸ“‚ Library πŸ“… 2006 πŸ› Cambridge University Press 🌐 English βš– 2 MB

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 m