English

Elementary methods for evaluating Jordan's sums and analogous Euler's type sums and for setting a sigma sum theorem

Number Theory 2013-02-01 v1

Abstract

We give a complete and elementary proofs of "Jordan's sums" and study Euler's types sums. In particular we give a formula for the sum of series with same weight, which is similar to this one of classical 2-Euler's sums.

Keywords

Cite

@article{arxiv.1301.7662,
  title  = {Elementary methods for evaluating Jordan's sums and analogous Euler's type sums and for setting a sigma sum theorem},
  author = {Guy Bastien},
  journal= {arXiv preprint arXiv:1301.7662},
  year   = {2013}
}

Comments

29 pages

R2 v1 2026-06-21T23:18:40.467Z