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Annales de l'Institut Fourier
Article . 1993 . Peer-reviewed
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zbMATH Open
Article . 1993
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On the characteristic power series of the U operator

On the characteristic power series of the \(U\) operator
Authors: Gouvêa, F. Q.; Mazur, B.;

On the characteristic power series of the U operator

Abstract

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 ?

Keywords

\(p\)-adic modular forms, congruence conditions, Atkin's \(U\) operator, characteristic power series, Iwasawa functions, Congruences for modular and \(p\)-adic modular forms

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Top 10%
Top 10%
Average
gold