Hostname: page-component-745bb68f8f-grxwn Total loading time: 0 Render date: 2025-01-22T09:03:57.422Z Has data issue: false hasContentIssue false
  • English
  • Français

On admissible distributions attached to convolutions of Hilbert modular forms

Published online by Cambridge University Press:  17 April 2009

Andrzej Dabrowski
Andrzej Dabrowski
Affiliation:
University of Szczecin, Institute of Mathematics, ul. Wielkopolska 15, 70–451 Szczecin, Poland, e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
Information
Bulletin of the Australian Mathematical Society , Volume 64 , Issue 1 , August 2001 , pp. 63 - 70
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), 119–131.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), 559–611.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), 227–286.CrossRefGoogle Scholar
[4]Dünger, V., ‘p-adic interpolation of convolutions of Hilbert modular forms’, Ann. Inst. Fourier 47 (1997), 365–428.CrossRefGoogle Scholar
[5]Im, J., ‘Special values of Dirichlet series attached to Hilbert modular forms‘, Amer. J. Math. 113 (1991), 975–1017.CrossRefGoogle Scholar
[6]Miyake, T., ‘On automorphic forms on GL 2 and Hecke Operators’, Ann of Math. 94 (1971), 174–189.CrossRefGoogle Scholar
[7]Panchishkin, A.A., ‘Motives over totally real fields and p-adic L-functions’ Ann. Inst. Fourier 44 (1994), 989–1023.CrossRefGoogle Scholar
[8]Vishik, M.M., ‘Non Archimedean measures associated with Dirichlet series’, (in Russian), Mat. Sb. 99 (1976), 248–260.Google Scholar