On the linear independence of p-adic L-functions modulo p

TL;DR

This paper proves a linear independence result modulo p for Iwasawa power series linked to Kubota-Leopoldt p-adic L-functions, using a method inspired by Warren Sinnott.

Contribution

It introduces a new linear independence theorem for p-adic L-functions modulo p, expanding understanding of their algebraic relations.

Findings

Establishes linear independence of Iwasawa power series modulo p

Extends Sinnott's method to p-adic L-functions

Provides new tools for studying p-adic L-function relations

Abstract

Inspired by Warren Sinnott 's method we prove a linear independence result modulo p for the Iwasawa power series associated to Kubota-Leopoldt p-adic L-functions.