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On admissible distributions attached to convolutions of Hilbert modular forms

Published online by Cambridge University Press:  17 April 2009

Andrzej Dabrowski
Affiliation:
University of Szczecin, Institute of Mathematics, ul. Wielkopolska 15, 70–451 Szczecin, Poland, e-mail: dabrowsk@sus.univ.szczecin.pl
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Abstract

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Dedicated to Jana

The aim of this note is to check the admissibility property of the distribution attached to convolution of Hilbert modular forms.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2001

References

[1]Amice, Y. and Vélu, J., ‘Distributions p-adiques associées aux séries de Hecke’, Astérisque 24–25 (1975), 119131.Google Scholar
[2]Dabrowski, A. and Delbourgo, D., ‘S-adic L-functions attached to the symmetric square of a newform’, Proc. London Math. Soc. 74 (1997), 559611.CrossRefGoogle Scholar
[3]Deligne, P. and Ribet, K.A., ‘Values of abelian L-functions at negative integers over totally real fields’, Invent. Math. 59 (1980), 227286.CrossRefGoogle Scholar
[4]Dünger, V., ‘p-adic interpolation of convolutions of Hilbert modular forms’, Ann. Inst. Fourier 47 (1997), 365428.CrossRefGoogle Scholar
[5]Im, J., ‘Special values of Dirichlet series attached to Hilbert modular forms‘, Amer. J. Math. 113 (1991), 9751017.CrossRefGoogle Scholar
[6]Miyake, T., ‘On automorphic forms on GL 2 and Hecke Operators’, Ann of Math. 94 (1971), 174189.CrossRefGoogle Scholar
[7]Panchishkin, A.A., ‘Motives over totally real fields and p-adic L-functionsAnn. Inst. Fourier 44 (1994), 9891023.CrossRefGoogle Scholar
[8]Vishik, M.M., ‘Non Archimedean measures associated with Dirichlet series’, (in Russian), Mat. Sb. 99 (1976), 248260.Google Scholar