On p-adic Siegel modular forms of non-real Nebentypus
Toshiyuki Kikuta (2012)
Acta Arithmetica
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Toshiyuki Kikuta (2012)
Acta Arithmetica
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Robert F. Coleman (1995)
Journal de théorie des nombres de Bordeaux
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Buzzard, Kevin, Calegari, Frank (2007)
Documenta Mathematica
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Fernando Q. Gouvêa, Barry Mazur (1993)
Annales de l'institut Fourier
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We show that the coefficients of the characteristic power series of Atkin’s U operator acting on overconvergent -adic modular forms of weight vary -adically continuously as functions of . Are they in fact Iwasawa functions of ?
L. J. P Kilford (2008)
Journal de Théorie des Nombres de Bordeaux
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We show that the slopes of the operator acting on 5-adic overconvergent modular forms of weight with primitive Dirichlet character of conductor 25 are given by either depending on and . We also prove that the space of classical cusp forms of weight and character has a basis of eigenforms for the Hecke operators and which is defined over .
Andrea Mori (1990)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Let be an elliptic modular form level of N. We present a criterion for the integrality of at primes not dividing N. The result is in terms of the values at CM points of the forms obtained applying to the iterates of the Maaß differential operators.
Shai Haran (1987)
Compositio Mathematica
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