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On a generalized divisor problem II

Published online by Cambridge University Press:  22 January 2016

Yuk-Kam Lau
Yuk-Kam Lau*
Affiliation:
Institut Élie Cartan, Université Henri Poincaré (Nancy 1), 54506 Vandoeuvre lés Nancy Cedex, France
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Abstract

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We investigate the Ω±-result of Δa(x) and its number of sign-changes in an interval [1, T], denoted by Xa(T), for -1 ≤ a < -1/2. We can prove that T ≪aXa(T) which is the best possible in order of magnitude.

Keywords

11N64
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 170 , 2003 , pp. 135 - 143
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2003

References

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