Holomorphic Siegel Modular Forms Associated to SO(n, 1).
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Stephen S. Kudla (1981)
Mathematische Annalen
Joachim Schwermer (1986)
Journal für die reine und angewandte Mathematik
Jean-Louis Waldspurger (1995)
Publications Mathématiques de l'IHÉS
Baier, Harald, Köhler, Günter (2003)
Experimental Mathematics
Nicolas Templier (2015)
Journal of the European Mathematical Society
Let be a Hecke–Maass cusp form of eigenvalue and square-free level . Normalize the hyperbolic measure such that and the form such that . It is shown that for all . This generalizes simultaneously the current best bounds in the eigenvalue and level aspects.
W. Duke (1988)
Inventiones mathematicae
Yiannis N. Petridis, Morten S. Risager (2009)
Journal de Théorie des Nombres de Bordeaux
For a cocompact group of we fix a real non-zero harmonic -form . We study the asymptotics of the hyperbolic lattice-counting problem for under restrictions imposed by the modular symbols . We prove that the normalized values of the modular symbols, when ordered according to this counting, have a Gaussian distribution.
James Lepowsky, Robert V. Moody (1979)
Mathematische Annalen
J. E. Cremona (1984)
Compositio Mathematica
Andrew P. Ogg (1974)
Bulletin de la Société Mathématique de France
Yuji Hasegawa (1997)
Acta Arithmetica
Yuji Hasegawa, Ki-ichiro Hashimoto (1996)
Acta Arithmetica
Henri COHEN (1979/1980)
Seminaire de Théorie des Nombres de Bordeaux
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