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On the characteristic power series of the U operator

Fernando Q. Gouvêa; Barry Mazur — 1993

Annales de l'institut Fourier

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 $k$ ?

Non-ordinary primes: A story.

Gouvêa, Fernando Q. — 1997

Experimental Mathematics

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