On determination of GL₃ cusp forms
Qingfeng Sun (2012)
Acta Arithmetica
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Qingfeng Sun (2012)
Acta Arithmetica
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Stephen S. Kudla (1979)
Inventiones mathematicae
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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.
Tomoyoshi Ibukiyama (1985)
Journal für die reine und angewandte Mathematik
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Cremona, John E. (1997)
Experimental Mathematics
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Shinji Fukuhara (2012)
Acta Arithmetica
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Stephen Gelbart (1971-1973)
Séminaire Choquet. Initiation à l'analyse
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Pilar Bayer (2002)
Banach Center Publications
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We present an approach to the uniformization of certain Shimura curves by means of automorphic functions, obtained by integration of non-linear differential equations. The method takes as its starting point a differential construction of the modular j-function, first worked out by R. Dedekind in 1877, and makes use of a differential operator of the third order, introduced by H. A. Schwarz in 1873.
Mitsugu Mera (2008)
Acta Arithmetica
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Rainer Schulze-Pillot (1995)
Journal de théorie des nombres de Bordeaux
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G. Chinta, N. Diamantis (2002)
Acta Arithmetica
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Min Ho Lee (2009)
Acta Arithmetica
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Goro Shimura (1988)
Inventiones mathematicae
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André Unterberger (1999)
Journées équations aux dérivées partielles
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Taking advantage of methods originating with quantization theory, we try to get some better hold - if not an actual construction - of Maass (non-holomorphic) cusp-forms. We work backwards, from the rather simple results to the mostly devious road used to prove them.
Heim, Bernhard (2010)
International Journal of Mathematics and Mathematical Sciences
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