Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 4, Issue 2


Published
on

January 14, 2010


Pages

133-151


DOI

Article

Note on Waring’s Problem With Convergent Sieve Sequences


Authors

Martin Jancevskis Affiliation:
Technische Universita¨t Graz Institut fu¨r Mathematik A Steyrergasse 30 8010 Graz AUSTRIA


Abstract

Let V be a set of pairwise coprime integers not containing 1, and we assume that there is some δ > 0 such that Pv∈V v−1+δ is finite. An asymptotic formula for Waring’s Problem where the variables are assumed to be not divisible by any v ∈ V is proved.


Keywords

Waring’s Problem, sieve sequences, B-free numbers.


Citation

Jancevskis, M. (2009). Note on waring’s problem with convergent sieve sequences. Uniform Distribution Theory, 4(2), 133–151.

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