Can I read Stirling numbers with level $2$ and poly-Bernoulli numbers with level $2$ on EtoBox?

Stirling numbers with level $2$ and poly-Bernoulli numbers with level $2$ by Komatsu, Takao is a scholarly article available to read on EtoBox.

What is Stirling numbers with level $2$ and poly-Bernoulli numbers with level $2$ about?

In this paper, we introduce poly-Bernoulli numbers with level $2$, related to the Stirling numbers of the second kind with level $2$, and study several properties of poly-Bernoulli numbers with level $2$ from their expressions, relations, and congruences. Poly-Bernoulli numbers with level $2$ have strong connections with poly-Cauchy numbers with level $2$. In a special case, we can determine the denominators of Bernoulli numbers with level $2$ by showing a von Staudt-Clausen like theorem.

Author

Komatsu, Takao

Published

2021

Language

EN