Identities involving the coefficients of automorphic -functions.
Fomenko, O.M. (2004)
Zapiski Nauchnykh Seminarov POMI
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Displaying similar documents to “Nonvanishing of automorphic L-functions at special points”
Identities involving the coefficients of automorphic -functions.
K-finite Whittaker functions are of finite order one
(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.
On determination of GL₃ cusp forms
Qingfeng Sun (2012)
Acta Arithmetica
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Automorphic forms
R. W. Bruggeman (1985)
Banach Center Publications
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The q-Mellin transform of automorphic forms and converse theorems
Mitsugu Mera (2008)
Acta Arithmetica
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An A4 extension of Q attached to a non-selfdual automorphic form on GL(3).
Avner Ash, Richard Pinch (1991)
Mathematische Annalen
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On the fundamental periods of automorphic forms of arithmetic type.
Goro Shimura (1990)
Inventiones mathematicae
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Introduction to Kloostermania
M. N. Huxley (1985)
Banach Center Publications
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A Dimension Formular for a Certain Space of Automorphic Forms of SU (p,1).
Suehiro Kato (1984)
Mathematische Annalen
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On rotation-automorphic functions.
Tuomas Sorvali, Rauno Aulaskari (1981)
Mathematica Scandinavica
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A mean square formula for central values of twisted automorphic L-functions
Yuk-Kam Lau, Kai-Man Tsang (2005)
Acta Arithmetica
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Extended automorphic forms on the upper half plane.
W. Casselman (1993)
Mathematische Annalen
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On Certain Arithmetic Automorphic Forms for SU (1, q).
Stephen S. Kudla (1979)
Inventiones mathematicae
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Asymptotically almost automorphic solutions of differential equations with piecewise constant argument
Hui-Sheng Ding, Shun-Mei Wan (2017)
Open Mathematics
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This paper is concerned with the existence and uniqueness of asymptotically almost automorphic solutions to differential equations with piecewise constant argument. To study that, we first introduce several notions about asymptotically almost automorphic type functions and obtain some properties of such functions. Then, on the basis of a systematic study on the associated difference system, the existence and uniqueness theorem is established. Compared with some earlier results, we do...
The decomposition of
Stephen Gelbart (1971-1973)
Séminaire Choquet. Initiation à l'analyse
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Automorphic Forms on Covering Groups of GL(2).
Yuval Z. Flicker (1980)
Inventiones mathematicae
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