On the search of genuine -adic modular -functions for . With a correction to: On -adic -functions of over totally real fields
Haruzo Hida (1996)
Mémoires de la Société Mathématique de France
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Displaying similar documents to “On -adic -functions”
On the search of genuine -adic modular -functions for . With a correction to: On -adic -functions of over totally real fields
On the local behaviour of ordinary -adic representations
Eknath Ghate, Vinayak Vatsal (2004)
Annales de l'Institut Fourier
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Let be a primitive cusp form of weight at least 2, and let be the -adic Galois representation attached to . If is -ordinary, then it is known that the restriction of to a decomposition group at is “upper triangular”. If in addition has CM, then this representation is even “diagonal”. In this paper we provide evidence for the converse. More precisely, we show that the local Galois representation is not diagonal, for all except possibly finitely many of the arithmetic members...
On generalized -adic integration
Arnt Volkenborn (1974)
Mémoires de la Société Mathématique de France
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Cuspidal groups, ordinary Eisenstein series, and Kubota-Leopoldt p-adic L-functions
Marc Nirenberg (2001)
Acta Arithmetica
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On p-adic analogues of the conjectures of Birch and Swinnerton-Dyer.
B. Mazur, J. Tate, J. Teitelbaum (1986)
Inventiones mathematicae
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Transcendental values of the p-adic digamma function
M. Ram Murty, N. Saradha (2008)
Acta Arithmetica
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p-adic polylogarithms and irrationality
Pierre Bel (2009)
Acta Arithmetica
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The derivative of p-adic L-functions
Lawrence Washington (1981)
Acta Arithmetica
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On the p-adic Eichler-Shimura isomorphism for ...-adic cusp forms.
Masami Ohta (1995)
Journal für die reine und angewandte Mathematik
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On -adic spaces
Gerlits, J.
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On the image of -adic Galois representations
Ami Fischman (2002)
Annales de l’institut Fourier
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We explore the question of how big the image of a Galois representation attached to a -adic modular form with no complex multiplication is and show that for a “generic” set of -adic modular forms (normalized, ordinary eigenforms with no complex multiplication), all have a large image.