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Congruences for convolutions of Hilbert modular forms
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Ward, Thomas (2012) Congruences for convolutions of Hilbert modular forms. Mathematical Proceedings of the Cambridge Philosophical Society, Volume 153 (Number 3). pp. 471-487. doi:10.1017/S0305004112000229 ISSN 0305-0041.
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Official URL: http://dx.doi.org/10.1017/S0305004112000229
Abstract
Let f be a primitive, cuspidal Hilbert modular form of parallel weight. We investigate the Rankin convolution L-values L(f,g,s), where g is a theta-lift modular form corresponding to a finite-order character. We prove weak forms of Kato's ‘false Tate curve’ congruences for these values, of the form predicted by conjectures in non-commmutative Iwasawa theory.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Mathematical Proceedings of the Cambridge Philosophical Society | ||||
Publisher: | Cambridge University Press | ||||
ISSN: | 0305-0041 | ||||
Official Date: | November 2012 | ||||
Dates: |
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Volume: | Volume 153 | ||||
Number: | Number 3 | ||||
Page Range: | pp. 471-487 | ||||
DOI: | 10.1017/S0305004112000229 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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