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What is Non-Vanishing Hecke L-Values in CM Fields about?

This paper establishes the non-vanishing of self-dual Hecke L-values over CM fields, proving that L(1, λν) is non-zero for almost all finite order characters ν of the Galois group Γp, with ε(λν) = +1. The results also complete Hsieh’s proof of Eisenstein congruence divisibility related to the CM Iwasawa main conjecture. The approach is based on the arithmetic of CM modular forms and the study of unipotent flows.

Author

czf22

Language

EN