Stability of $p$-adic valuations of Hecke L-values

TL;DR

This paper proves p-stability results for the critical L-values of algebraic Hecke characters over CM fields within an -adic anticyclotomic twist family, enhancing understanding of their p-adic properties.

Contribution

It establishes new p-stability results for algebraic Hecke L-values in anticyclotomic families over CM fields, extending previous p-adic L-function theories.

Findings

Proves p-stability of critical L-values in anticyclotomic families

Demonstrates stability results for algebraic Hecke characters over CM fields

Provides new insights into p-adic properties of L-values

Abstract

In this paper, we prove $p$-stability results for the critical L-values of algebraic Hecke characters over CM fields in $\ell$-adic anticyclotomic twist family with $\ell\neq p$.