The work of Gross and Zagier on Heegner points and the derivatives of -series
John Coates (1984-1985)
Séminaire Bourbaki
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Displaying similar documents to “A characterization of integral elliptic automorphic forms”
The work of Gross and Zagier on Heegner points and the derivatives of -series
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
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Let be an elliptic modular form level of N. We present a criterion for the integrality of at primes not dividing N. The result is in terms of the values at CM points of the forms obtained applying to the iterates of the Maaß differential operators.
Rational elliptic curves are modular
Bas Edixhoven (1999-2000)
Séminaire Bourbaki
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Analytical construction of Weil curves over function fields
Ernst-Ulrich Gekeler (1995)
Journal de théorie des nombres de Bordeaux
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From the Taniyama-Shimura conjecture to Fermat's last theorem
Kenneth A. Ribet (1990)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Siegel varieties and -adic Siegel modular forms.
Tilouine, J. (2007)
Documenta Mathematica
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Modular curves and the Eisenstein ideal
Barry Mazur (1977)
Publications Mathématiques de l'IHÉS
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Arithmetic of elliptic curves and diophantine equations
Loïc Merel (1999)
Journal de théorie des nombres de Bordeaux
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We give a survey of methods used to connect the study of ternary diophantine equations to modern techniques coming from the theory of modular forms.