On the Automorphic Linear Transformation of an Alternate Bilinear Form
Henry Taber (1895)
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Henry Taber (1895)
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Suehiro Kato (1984)
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S.J. Patterson, I.I. Piatetski-Shapiro (1989)
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W. Casselman (1993)
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Atsushi Murase, Takashi Sugano (1994)
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Jürgen Neukirch, Pilar Báyer (1981)
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Fomenko, O.M. (2004)
Zapiski Nauchnykh Seminarov POMI
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Helen Strassberg (1979)
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(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.
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.
Solomon Friedberg, Shek-Tung Wong (1991)
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Tomoyoshi Ibukiyama, Yasutaka Ihara (1987)
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H.L. Resnikoff, Y.-S. Tai (1981)
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Joseph Lehner (1973)
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Nolan R. Wallach (1984)
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R.A. Rankhi (1973)
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