On Automorphic Forms on the Unitary Symplectic Group Sp (n) and SL2 (R).
Tomoyoshi Ibukiyama, Yasutaka Ihara (1987)
Mathematische Annalen
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Tomoyoshi Ibukiyama, Yasutaka Ihara (1987)
Mathematische Annalen
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Zhao Xu (2014)
Acta Arithmetica
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At some special points, we establish a nonvanishing result for automorphic L-functions associated to the even Maass cusp forms in short intervals by using the mollification technique.
(2013)
Acta Arithmetica
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We prove a finite order one type estimate for the Whittaker function attached to a K-finite section of a principle series representation of a real or complex Chevalley group. Effective computations are made using convexity in ℂⁿ, following the original paper of Jacquet. As an application, we give a simplified proof of the known result of the boundedness in vertical strips of certain automorphic L-functions, using a result of Müller.
Fomenko, O.M. (2004)
Zapiski Nauchnykh Seminarov POMI
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Hervé Jacquet (2005)
Annales scientifiques de l'École Normale Supérieure
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Jean-Loup Waldspurger (1991)
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Stephen Gelbart (1971-1973)
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Piatetski-Shapiro, Ilya I., Teicher, Mina (1997)
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H Davenport (1936)
Acta Arithmetica
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Goro Shimura (1994)
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Laurent Clozel (1986)
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Enrico Bombieri (1971-1972)
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