English

On poly-cosecant numbers

Number Theory 2019-08-01 v1

Abstract

We introduce and study a `level two' generalization of the poly-Bernoulli numbers, which may also be regarded as a generalization of the cosecant numbers. We prove a recurrence relation, two exact formulas, and a duality relation for negative upper-index numbers.

Keywords

Cite

@article{arxiv.1907.13441,
  title  = {On poly-cosecant numbers},
  author = {Masanobu Kaneko and Maneka Pallewatta and Hirofumi Tsumura},
  journal= {arXiv preprint arXiv:1907.13441},
  year   = {2019}
}

Comments

12 pages

R2 v1 2026-06-23T10:35:55.556Z