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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

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.

An odd square as a sum of an odd number of odd squares

Heng Huat Chan, Shaun Cooper, Wen-Chin Liaw (2008)

Acta Arithmetica

An ...-Theorem for Ramanujan's ...-Function.

M. Ram Murty, R. Balasubramanian (1982)

Inventiones mathematicae

Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan.

Bruce C. Berndt (1978)

Journal für die reine und angewandte Mathematik

Annulation de la cohomologie cuspidale de sous-groupes de congruence de GL...(...).

Stéfane Fermigier (1996)

Mathematische Annalen

Arithmetic of certain hypergeometric modular forms

Karl Mahlburg, Ken Ono (2004)

Acta Arithmetica

Arithmetic of the modular function $j_{1, 4}$

Chang Heon Kim, Ja Kyung Koo (1998)

Acta Arithmetica

We find a generator $j_{1, 4}$ of the function field on the modular curve X₁(4) by means of classical theta functions θ₂ and θ₃, and estimate the normalized generator $N (j_{1, 4})$ which becomes the Thompson series of type 4C. With these modular functions we investigate some number theoretic properties.

Automorphic forms

R. W. Bruggeman (1985)

Banach Center Publications

Automorphic Forms on Covering Groups of GL(2).

Yuval Z. Flicker (1980)

Inventiones mathematicae

Displaying 21 – 29 of 29

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