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P-Adic integration on ray class groups and non-ordinary P-Adic L-functions
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Loeffler, David (2014) P-Adic integration on ray class groups and non-ordinary P-Adic L-functions. In: Bouganis, Thanasis and Venjakob, Otmar, (eds.) Iwasawa Theory 2012. Contributions in Mathematical and Computational Sciences, 7 (7). Springer, pp. 357-378. ISBN 9783642552441
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Official URL: http://dx.doi.org/10.1007/978-3-642-55245-8_12
Abstract
We study the theory of p-adic finite-order functions and distributions
on ray class groups of number fields, and apply this to the construction of (possibly unbounded) p-adic L-functions for automorphic forms on GL2 which may be non-ordinary at the primes above p. As a consequence, we obtain a "plus-minus" decomposition of the p-adic L-functions of automorphic forms for GL2 over an imaginary quadratic field with p split and Hecke eigenvalues 0 at the primes above p, confirming a conjecture of B.D. Kim.
Item Type: | Book Item | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Series Name: | Contributions in Mathematical and Computational Sciences | ||||||||
Publisher: | Springer | ||||||||
ISBN: | 9783642552441 | ||||||||
ISSN: | 2191-303X | ||||||||
Book Title: | Iwasawa Theory 2012 | ||||||||
Editor: | Bouganis, Thanasis and Venjakob, Otmar | ||||||||
Official Date: | 12 November 2014 | ||||||||
Dates: |
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Volume: | 7 | ||||||||
Number: | 7 | ||||||||
Page Range: | pp. 357-378 | ||||||||
DOI: | 10.1007/978-3-642-55245-8_12 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 26 January 2016 | ||||||||
Funder: | Royal Society (Great Britain) | ||||||||
Open Access Version: |
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