On the order of vanishing of modular -functions at the critical point
Henryk Iwaniec (1990)
Journal de théorie des nombres de Bordeaux
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Henryk Iwaniec (1990)
Journal de théorie des nombres de Bordeaux
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Valentin Blomer, Gergely Harcos, Philippe Michel (2007)
Annales scientifiques de l'École Normale Supérieure
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Aleksandar Ivić, Tom Meurman (1994)
Acta Arithmetica
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Dorian M. Goldfeld (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Robert Sczech (1986)
Compositio Mathematica
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Arnaud Jehanne, Michael Müller (2000)
Journal de théorie des nombres de Bordeaux
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In this paper, we prove that the representation from in GL with image in PGL corresponding to the example in [B-K] is modular. This representation has conductor and determinant ; its modularity was not yet proved, since this representation does not satisfy the hypothesis of the theorems of [B-D-SB-T] and [Tay2].
Dmitri Jakobson (1997)
Annales de l'institut Fourier
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We prove a microlocal version of the equidistribution theorem for Wigner distributions associated to cusp forms on . This generalizes a recent result of W. Luo and P. Sarnak who prove equidistribution on .