Remarks on generalized Ramanujan sums and even functions

László Tóth

Remarks on generalized Ramanujan sums and even functions

数论 2007-05-23 v1

作者: László Tóth

摘要

We prove a simple formula for the main value of $r$ -even functions and give applications of it. Considering the generalized Ramanujan sums $c_A(n,r)$ involving regular systems $A$ of divisors we show that it is not possible to develop a Fourier theory with respect to $c_A(n,r)$ , like in the the usual case of classical Ramanujan sums $c(n,r)$ .

关键词

ramanujan identities and series

引用

@article{arxiv.math/0610358,
  title  = {Remarks on generalized Ramanujan sums and even functions},
  author = {László Tóth},
  journal= {arXiv preprint arXiv:math/0610358},
  year   = {2007}
}

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