English

More remarkable sinc integrals and sums

Classical Analysis and ODEs 2014-07-01 v2

Abstract

We use Poisson summation formula to calculate integrals of producs of sinc functions (cf. [4]) and related integrals as in [5] and [3]. We also generalize the one in [5] and introduce other remarkable integrals. Finally we give a sum version of Siegel-type lower bound. (cf. [2], Theorem 3)

Keywords

Cite

@article{arxiv.1405.1265,
  title  = {More remarkable sinc integrals and sums},
  author = {Gert Almkvist and Jan Gustavsson},
  journal= {arXiv preprint arXiv:1405.1265},
  year   = {2014}
}
R2 v1 2026-06-22T04:07:11.356Z