On a theorem of Muller and Carlitz

Ayoub, R. ; Chowla, S. (1970) On a theorem of Muller and Carlitz Journal of Number Theory, 2 (3). pp. 342-344. ISSN 0022-314X

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/002231...

Related URL: http://dx.doi.org/10.1016/0022-314X(70)90062-4

Abstract

Let r(n) denote the number of representations of n as a sum of two squares. We have ∑n<x r(n) log(x/n)= Ax + B log x + C + O(x-1/4) where A, B, C are constants. The evaluation of C in closed form" is established by a new method in this paper.

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