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

Auteur: Peter D Elliott
Taal: Engels

Samenvatting

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.
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Productspecificaties

Inhoud

Taal
Engels
Bindwijze
Paperback
Druk
1
Verschijningsdatum
1994-12-15
Afmetingen
25,4 x 17,8 x 0,6 cm
Aantal pagina's
88 pagina's

Betrokkenen

Auteur
Peter D Elliott
Uitgever
American Mathematical Society

EAN

EAN
9780821825983

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NUR code
918
Oorspronkelijke releasedatum
1994-12-30

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