Anatomy of Integers Paperback / softback
Part of the CRM Proceedings & Lecture Notes series
Paperback / softback
Description
The book is mostly devoted to the study of the prime factors of integers, their size and their quantity, to good bounds on the number of integers with different properties (for example, those with only large prime factors) and to the distribution of divisors of integers in a given interval.
In particular, various estimates concerning smooth numbers are developed.
A large emphasis is put on the study of additive and multiplicative functions as well as various arithmetic functions such as the partition function.
More specific topics include the Erdos-Kac Theorem, cyclotomic polynomials, combinatorial methods, quadratic forms, zeta functions, Dirichlet series and $L$-functions.
All these create an intimate understanding of the properties of integers and lead to fascinating and unexpected consequences.
The volume includes contributions from leading participants in this active area of research, such as Kevin Ford, Carl Pomerance, Kannan Soundararajan and Gerald Tenenbaum.
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:Illustrations
- Publisher:American Mathematical Society
- Publication Date:30/07/2008
- Category:
- ISBN:9780821844069
Other Formats
- Paperback / softback from £15.95
- PDF from £14.24
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:Illustrations
- Publisher:American Mathematical Society
- Publication Date:30/07/2008
- Category:
- ISBN:9780821844069
