2-adic and 3-adic part of class numbers and properties of central values of L-functions
Matija Kazalicki (2011)
Acta Arithmetica
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Matija Kazalicki (2011)
Acta Arithmetica
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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 ?
Toshiyuki Kikuta (2012)
Acta Arithmetica
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Glenn Stevens, Ralph Greenberg (1993)
Inventiones mathematicae
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Buzzard, Kevin, Calegari, Frank (2007)
Documenta Mathematica
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Gilles Robert (1980)
Inventiones mathematicae
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Jeremy T. Teitelbaum (1990)
Inventiones mathematicae
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Haruzo Hida (1985)
Inventiones mathematicae
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Douglas L. Ulmer (1996)
Annales de l'institut Fourier
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Claus-G. Schmidt (1993)
Inventiones mathematicae
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A. Wiles (1988)
Inventiones mathematicae
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Kevin Buzzard (2001)
Journal de théorie des nombres de Bordeaux
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We give a down-to-earth introduction to the theory of families of modular forms, and discuss elementary proofs of results suggesting that modular forms come in families.