Classical and overconvergent modular forms of higher level. (English) Zbl 0942.11025

Coleman, Robert F.

J. Théor. Nombres Bordx. 9, No. 2, 395-403 (1997).

The author shows that any \(p\)-adic overconvergent modular form on \(\Gamma_1(Np^r)\) (\((N,p)=1\)) of weight \(k\) and slope strictly less than \(k-1\) is classical, generalising his earlier work.

Reviewer: Chandrashekhar B.Khare (Mumbai)

MSC:

11F11

Holomorphic modular forms of integral weight

Keywords:

\(p\)-adic overconvergent modular form

References:

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