The decomposition of
Stephen Gelbart (1971-1973)
Séminaire Choquet. Initiation à l'analyse
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Stephen Gelbart (1971-1973)
Séminaire Choquet. Initiation à l'analyse
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Hida, Haruzo (2007)
Documenta Mathematica
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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...
Michael Harris (1994)
Compositio Mathematica
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W. Kohnen, J. Sengupta (2001)
Acta Arithmetica
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Qingfeng Sun (2012)
Acta Arithmetica
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Stephen S. Kudla (1980)
Compositio Mathematica
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M. N. Huxley (1985)
Banach Center Publications
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Nicole Raulf (2014)
Open Mathematics
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In this paper we compute the trace formula for Hecke operators acting on automorphic forms on the hyperbolic 3-space for the group PSL2() with being the ring of integers of an imaginary quadratic number field K of class number H K > 1. Furthermore, as a corollary we obtain an asymptotic result for class numbers of binary quadratic forms.
Okada, Kaoru (2002)
Experimental Mathematics
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