On the representation of integers as the sum of powers in the arithmetic progression
Authors:


AMS Classification:

11N37

Keywords:

asymptotic estimate, meromorphic continuation, Waring zetafunction

Abstract:

We investigate the behaviour of integers represented as the sum of powers in arithmetic progressions. Using the Waring zetafunction introduced by A. Vinogradov, we prove the asymptotic formula for the summatory function of the number of representations of as the sum of powers in arithmetic progressions.

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Vol. 3 (11), 2008
