The universality theorem for Hecke L-functions
Hidehiko Mishou (2003)
Acta Arithmetica
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Hidehiko Mishou (2003)
Acta Arithmetica
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Meinolf Geck, Sofia Lambropoulou (1997)
Journal für die reine und angewandte Mathematik
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Brad A. Emmons, Dominic Lanphier (2007)
Acta Arithmetica
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David E. ROHRLICH (1992)
Forum mathematicum
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Cristina M. Ballantine, John A. Rhodes, Thomas R. Shemanske (2004)
Acta Arithmetica
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Lascoux, Alain (1998)
Documenta Mathematica
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Winfried Kohnen (1992)
Mathematische Annalen
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Uwe Weselmann (1989)
Inventiones mathematicae
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Helversen-Pasotto, Anna
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[For the entire collection see Zbl 0742.00067.]In the first part some general results on Hecke algebras are recalled; the structure constants corresponding to the standard basis are defined; in the following the example of the commuting algebra of the Gelfand- Graev representation of the general linear group is examined; here is a finite field of elements; the structure constants are explicitly determined first for the standard basis and then for a new basis obtained via a Mellin-transformation....
W. Kohnen, J. Sengupta (2001)
Acta Arithmetica
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Golubeva, E.P. (2004)
Zapiski Nauchnykh Seminarov POMI
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W. Kohnen (1985)
Journal für die reine und angewandte Mathematik
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Eknath Ghate (2002)
Acta Arithmetica
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B. Conrey, H. Iwaniec (2002)
Acta Arithmetica
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Kirill Vankov (2011)
Journal de Théorie des Nombres de Bordeaux
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Shimura conjectured the rationality of the generating series for Hecke operators for the symplectic group of genus . This conjecture was proved by Andrianov for arbitrary genus , but the explicit expression was out of reach for genus higher than 3. For genus , we explicitly compute the rational fraction in this conjecture. Using formulas for images of double cosets under the Satake spherical map, we first compute the sum of the generating series, which is a rational fraction with...