SUMS OF MULTIPLICATIVE FUNCTIONS OVER A BEATTY SEQUENCE-Reference-Cited by-同舟云学术

SUMS OF MULTIPLICATIVE FUNCTIONS OVER A BEATTY SEQUENCE

Published:2008-10 Issue:2 Volume:78 Page:327-334
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

GÜLOĞLU AHMET M.,WESLEY NEVANS C.

Abstract

AbstractWe study sums involving multiplicative functions that take values over a nonhomogenous Beatty sequence. We then apply our result in a few special cases to obtain asymptotic formulas for quantities such as the number of integers in a Beatty sequence that are representable as a sum of two squares up to a given magnitude.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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