English

Recurrences and Congruences for Higher order Geometric Polynomials and Related Numbers

Number Theory 2021-06-08 v1

Abstract

We obtain new recurrence relations, an explicit formula, and convolution identities for higher order geometric polynomials. These relations generalize known results for geometric polynomials, and lead to congruences for higher order geometric polynomials, particularly for p-Bernoulli numbers.

Keywords

Cite

@article{arxiv.1910.13248,
  title  = {Recurrences and Congruences for Higher order Geometric Polynomials and Related Numbers},
  author = {Levent Kargın and Mehmet Cenkci},
  journal= {arXiv preprint arXiv:1910.13248},
  year   = {2021}
}