On Some p-Adic Series with Factorials

TL;DR

This paper investigates certain p-adic series involving factorials, exploring their properties and convergence within the p-adic number system.

Contribution

It introduces new classes of p-adic series with factorials and analyzes their convergence and properties.

Findings

Identification of convergence criteria for factorial-based p-adic series

Discovery of specific series with interesting p-adic properties

Potential applications in number theory and p-adic analysis

Abstract

Some p-adic series with factorials are considered.