$\pi $-adic Eisenstein series for function fields

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.

Classical and overconvergent modular forms

Robert F. Coleman (1995)

Journal de théorie des nombres de Bordeaux

Similarity:

On $p$ -adic analytic families of Galois representations

B. Mazur, A. Wiles (1986)

Compositio Mathematica

Similarity:

An integrality criterion for elliptic modular forms

Andrea Mori (1990)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

Let $f$ be an elliptic modular form level of N. We present a criterion for the integrality of $f$ at primes not dividing N. The result is in terms of the values at CM points of the forms obtained applying to $f$ the iterates of the Maaß differential operators.

Displaying similar documents to “ π -adic Eisenstein series for function fields”

Displaying similar documents to “ $π$ -adic Eisenstein series for function fields”