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- Title
Congruences for convolutions of Hilbert modular forms.
- Authors
WARD, THOMAS
- 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.
- Subjects
CONGRUENCE modular varieties; MATHEMATICAL convolutions; HILBERT modular surfaces; MATHEMATICAL analysis; MATHEMATICAL proofs; IWASAWA theory
- Publication
Mathematical Proceedings of the Cambridge Philosophical Society, 2012, Vol 153, Issue 3, p471
- ISSN
0305-0041
- Publication type
Article
- DOI
10.1017/S0305004112000229