Computing $p$-adic $L$-functions of totally real number fields

TL;DR

This paper derives explicit formulas for p-adic L-functions associated with totally real number fields, enabling their computation and analysis.

Contribution

It introduces new explicit formulas for p-adic L-functions of totally real fields, facilitating their calculation and understanding.

Findings

Explicit formulas for p-adic L-functions derived

Methods for computing p-adic L-values developed

Applications to representations of p-adic L-functions

Abstract

We prove explicit formulas for the $p$-adic $L$-functions of totally real number fields and show how these formulas can be used to compute values and representations of $p$-adic $L$-functions.