On the p-adic Leopoldt Transform of a power series

TL;DR

This paper investigates properties of p-adic L-functions and provides bounds for the Iwasawa lambda invariant in the context of cyclotomic Z_p-extensions of abelian number fields.

Contribution

It introduces bounds for the Iwasawa lambda invariant and explores properties of Iwasawa power series related to p-adic L-functions.

Findings

Bound established for the Iwasawa lambda invariant.

Properties of Iwasawa power series analyzed.

Insights into p-adic L-functions provided.

Abstract

In this paper we give a bound for the Iwasawa lambda invariant of an abelian number field attached to the cyclotomic Z_p-extension of that field. We also give some properties of Iwaswa power series attached to p-adic L-functions.