On the spaces of Eisenstein series of Hilbert modular groups.
Toshitsune Miyake (1987)
Revista Matemática Iberoamericana
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Toshitsune Miyake (1987)
Revista Matemática Iberoamericana
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Volker Dünger (1997)
Annales de l'institut Fourier
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In this paper we construct -adic measures related to the values of convolutions of Hilbert modular forms of integral and half-integral weight at the negative critical points under the assumption that the underlying totally real number field has class number . This extends the result of Panchishkin [Lecture Notes in Math., 1471, Springer Verlag, 1991 ] who treated the case that both modular forms are of integral weight. In order to define the measures, we need to introduce the twist...
Stephen S. Kudla (1983)
Compositio Mathematica
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S. Raghavan, J. Sengupta (1991)
Acta Arithmetica
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André Unterberger (1999)
Journées équations aux dérivées partielles
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Taking advantage of methods originating with quantization theory, we try to get some better hold - if not an actual construction - of Maass (non-holomorphic) cusp-forms. We work backwards, from the rather simple results to the mostly devious road used to prove them.
Michael Harris (1981)
Annales scientifiques de l'École Normale Supérieure
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Rainer Schulze-Pillot (1995)
Journal de théorie des nombres de Bordeaux
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Michael Harris (1994)
Compositio Mathematica
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