On the Correlation of Multiplicative and the Sum of Additive Arithmetic Functions - Couverture souple

Elliott, P. D. T. A.

Couverture souple

ISBN 10 : 0821825984 ISBN 13 : 9780821825983

Editeur : American Mathematical Society, 1994

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 overw 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.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1994
• Langue: anglais
• ISBN 10: 0821825984
• ISBN 13: 9780821825983
• Reliure: Broché
• Nombre de pages: 88
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible