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P-adic Asai L-functions for Bianchi modular forms
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Loeffler, David and Williams, Christopher David (2020) P-adic Asai L-functions for Bianchi modular forms. Algebra & Number Theory, 14 (7). pp. 1669-1710. doi:10.2140/ant.2020.14.1669 ISSN 1937-0652.
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Official URL: https://doi.org/10.2140/ant.2020.14.1669
Abstract
The Asai (or twisted tensor) L-function of a Bianchi modular form
Ψ is the L-function attached to the tensor induction to Q of its associated Galois representation. When Ψ is ordinary at p we onstruct a p-adic analogue of this L-function: that is, a p-adic measure on
Z×p that interpolates the critical values of the Asai L-function twisted by Dirichlet characters of p-power conductor. The construction uses techniques analogous to those used by Lei, Zerbes and the first author in order to construct an Euler system attached to the Asai representation of a quadratic Hilbert modular form.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Bianchi groups, p-adic numbers , Iwasawa theory | ||||||
Journal or Publication Title: | Algebra & Number Theory | ||||||
Publisher: | Mathematical Sciences Publishers | ||||||
ISSN: | 1937-0652 | ||||||
Official Date: | 18 August 2020 | ||||||
Dates: |
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Volume: | 14 | ||||||
Number: | 7 | ||||||
Page Range: | pp. 1669-1710 | ||||||
DOI: | 10.2140/ant.2020.14.1669 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Reuse Statement (publisher, data, author rights): | “First published in Algebra & Number Theory in Vol. 14 (2020), No. 7, 1669–1710 published by Mathematical Sciences Publishers,” and the copyright notice in proper form must be placed on all copies.' | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Copyright Holders: | © 2020 Mathematical Sciences Publishers | ||||||
Date of first compliant deposit: | 16 March 2020 | ||||||
Date of first compliant Open Access: | 24 August 2020 | ||||||
RIOXX Funder/Project Grant: |
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