On sums of generalized Ramanujan sums
Number Theory
2013-10-10 v2
Abstract
Ramanujan sums have been studied and generalized by several authors. For example, Nowak studied these sums over quadratic number fields, and Grytczuk defined that on semigroups. In this note, we deduce some properties on sums of generalized Ramanujan sums and give examples on number fields. In particular, we have a relational expression between Ramanujan sums and residues of Dedekind zeta functions.
Keywords
Cite
@article{arxiv.1303.6070,
title = {On sums of generalized Ramanujan sums},
author = {Yusuke Fujisawa},
journal= {arXiv preprint arXiv:1303.6070},
year = {2013}
}
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10 pages