Some identities of q-Bernoulli numbers associated p-adic convolutions

TL;DR

This paper introduces new identities of q-Bernoulli numbers derived from p-adic convolutions, expanding the understanding of their algebraic properties within p-adic number theory.

Contribution

It presents novel identities of q-Bernoulli numbers obtained through convolutions on the ring of p-adic integers, a new approach in the field.

Findings

New identities of q-Bernoulli numbers derived from p-adic convolutions

Enhanced understanding of algebraic properties of q-Bernoulli numbers

Application of p-adic convolution techniques in number theory

Abstract

In this paper, we give some interesting and new identities of q-Bernoulli numbers which are derived from convolutions on the ring of p-adic integers.