English

Some Remarks on Glaisher-Ramanujan Type Integrals

Number Theory 2016-07-04 v1

Abstract

Some integrals of the Glaisher-Ramanujan type are established in a more general form than in previous studies. As an application we prove some Ramanujan-type series identities, as well as a new formula for the Dirichlet beta function at the value s=3.s=3.

Keywords

Cite

@article{arxiv.1505.01530,
  title  = {Some Remarks on Glaisher-Ramanujan Type Integrals},
  author = {Alexander E. Patkowski},
  journal= {arXiv preprint arXiv:1505.01530},
  year   = {2016}
}
R2 v1 2026-06-22T09:29:24.540Z