An integrality criterion for elliptic modular forms
Mori, Andrea
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 1 (1990), p. 3-9 / Harvested from Biblioteca Digitale Italiana di Matematica
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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.

Si enuncia un criterio di integralità per i primi non dividenti il livello per forme modulari ellittiche. Il criterio si basa sui valori assunti in certi punti particolari del semipiano a parte immaginaria positiva dalle forme ottenute applicando gli iterati degli operatori di Maaß alla forma in esame.

Publié le : 1990-02-01
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     author = {Andrea Mori},
     title = {An integrality criterion for elliptic modular forms},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {1},
     year = {1990},
     pages = {3-9},
     zbl = {0702.11025},
     mrnumber = {1081819},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1990_9_1_1_3_0}
}

Mori, Andrea. An integrality criterion for elliptic modular forms. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 1 (1990) pp. 3-9. http://gdmltest.u-ga.fr/item/RLIN_1990_9_1_1_3_0/

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