Sur une \'equation fonctionnelle approch\'ee due \`a J. R. Wilton
Number Theory
2015-08-13 v1
Abstract
We give a new proof of an approximate functional equation, due to J. R. Wilton, for a trigonometric sum involving the divisor function. This allows us to improve on Wilton's error term and to give an explicit formula for an unspecified function involved in the functional equation.
Keywords
Cite
@article{arxiv.1508.02991,
title = {Sur une \'equation fonctionnelle approch\'ee due \`a J. R. Wilton},
author = {Michel Balazard and Bruno Martin},
journal= {arXiv preprint arXiv:1508.02991},
year = {2015}
}
Comments
in French. arXiv admin note: text overlap with arXiv:1305.4395