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On the transfer congruence between p-adic Hecke L-functions

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Title
On the transfer congruence between p-adic Hecke L-functions
Author(s)
Dohyeong Kim
Publication Date
2015
Journal
Cambridge Journal of Mathematics, v.3, no.3, pp.355 - 438
Abstract
We prove the transfer congruence between p-adic Hecke L-functions for CM fields over cyclotomic extensions, which is a non-abelian generalization of the Kummer’s congruence. The ingredients of the proof include the comparison between Hilbert modular varieties, the q-expansion principle, and some modification of Hsieh’s Whittaker model for Katz’ Eisenstein series. As a first application, we prove explicit congruence between special values of Hasse- Weil L-function of a CM elliptic curve twisted by Artin representations. As a second application, we prove the existence of a non-commutative p-adic L-function in the algebraic K1-group of the completed localized Iwasawa algebra.
URI
https://pr.ibs.re.kr/handle/8788114/2159
ISSN
2168-0930
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
Files in This Item:
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