Non-vanishing of Hecke L-values modulo p
Ming-Lun Hsieh
TL;DR
This paper proves that certain special values of Hecke L-functions for CM fields do not vanish modulo p, extending previous results to a broader class of fields with anticyclotomic twists.
Contribution
It establishes a non-vanishing modulo p result for Hecke L-values in the context of CM fields with anticyclotomic twists, following Hida's approach.
Findings
Non-vanishing of Hecke L-values modulo p for CM fields
Extension of Washington's theorem to anticyclotomic twists
Application of Hida's method to this non-vanishing problem
Abstract
In this article, we follow Hida's approach to establish an analogue of Washington's theorem on the non-vanishing modulo p of Hecke L-values for CM fields with anticyclotomic twists.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Analytic Number Theory Research