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Congruences for convolutions of Hilbert modular forms

Published online by Cambridge University Press:  17 May 2012

THOMAS WARD
THOMAS WARD*
Affiliation:
Heilbronn Institute for Mathematical Research, Department of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW. e-mail: [email protected]
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 153 , Issue 3 , November 2012 , pp. 471 - 487
Copyright
Copyright © Cambridge Philosophical Society 2012

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