10% off all books and free delivery over £50
Buy from our bookstore and 25% of the cover price will be given to a school of your choice to buy more books. *15% of eBooks.

On the Correlation of Multiplicative and the Sum of Additive Arithmetic Functions

View All Editions (1)

The selected edition of this book is not available to buy right now.
Add To Wishlist
Write A Review

About

On the Correlation of Multiplicative and the Sum of Additive Arithmetic Functions Synopsis

This work applies stability properties of the dual of a certain arithmetic operator to study the correlation of multiplicative arithmetic functions. The literature of number theory contains very little concerning such correlations despite their direct connection with the problem of prime pairs and Goldbach's conjecture concerning the representation of even integers as the sum of two primes. Elliott aims for a result of wide uniformity under very weak hypotheses. The uniformity obtained here enables a comprehensive investigation of the value distribution of sums of additive arithmetic functions on distinct arithmetic progressions. The underlying argument, which Elliott calls the method of the stable dual, has received no unified account in the literature. A short overview of the method, with historical remarks, is presented. The principal results presented here are all new and currently beyond the reach of any other method.

About This Edition

ISBN: 9780821825983
Publication date:
Author: P D T A Elliott, American Mathematical Society
Publisher: American Mathematical Society
Format: Paperback
Pagination: 88 pages
Series: Memoirs of the American Mathematical Society
Genres: Mathematics