Displaying similar documents to “p-Adic Congruences and Modular Forms of Half Integer Weight.”

On the characteristic power series of the U operator

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 p -adic modular forms of weight k vary p -adically continuously as functions of k . Are they in fact Iwasawa functions of k ?

Families of modular forms

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.