English

On a Generalization of Bernoulli and Euler Numbers

Combinatorics 2013-05-09 v2 Probability

Abstract

We introduce a series of numbers which serve as a generalization of Bernoulli, Euler numbers and binomial coefficients. Their properties are applied to solve a probability problem and suggest a statistical test for independence and identical distribution of random variables.

Keywords

Cite

@article{arxiv.1107.3882,
  title  = {On a Generalization of Bernoulli and Euler Numbers},
  author = {Andrey Sarantsev},
  journal= {arXiv preprint arXiv:1107.3882},
  year   = {2013}
}

Comments

This is my undergraduate research. This is a report on the 10th International Seminar "Discrete Mathematics and Its Applications", in January 2010, which was held in Lomonosov Moscow State University

R2 v1 2026-06-21T18:39:12.666Z