Twists of Modular Forms and Endomorphisms of Abelian Varieties.
Kenneth A. Ribet (1980)
Mathematische Annalen
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Displaying similar documents to “The periods of abelian varieties with complex multiplication and the spectral values of certain zeta functions”
Twists of Modular Forms and Endomorphisms of Abelian Varieties.
Zeta function and Zharkovskaya's theorem on Siegel modular forms of half-integral weight
Shuichi Hayashida (2003)
Acta Arithmetica
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The Equations Defining Abelian Varieties and Modular Functions.
Shoji Koizumi (1979)
Mathematische Annalen
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Special values of zeta functions attached to Siegel modular forms
Michael Harris (1981)
Annales scientifiques de l'École Normale Supérieure
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Theta-transforms and even zeta functions of Siegel modular forms
Anatoli Andrianov (2002)
Acta Arithmetica
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Visibility of the Shafarevich-Tate group at higher level.
Jetchev, Dimitar P., Stein, William A. (2007)
Documenta Mathematica
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Visibility of Mordell-Weil groups.
Stein, William A. (2007)
Documenta Mathematica
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Rational points on modular curves and abelian varieties.
S. Kamienny (1985)
Journal für die reine und angewandte Mathematik
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Non-solvable base change for Hilbert modular representations and zeta functions of twisted quaternionic Shimura varieties
Cristian Virdol (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
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In this paper we prove some non-solvable base change for Hilbert modular representations, and we use this result to show the meromorphic continuation to the entire complex plane of the zeta functions of some twisted quaternionic Shimura varieties. The zeta functions of the twisted quaternionic Shimura varieties are computed at all places.
Special values of Hilbert modular functions.
Martin L. Karel (1986)
Revista Matemática Iberoamericana
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Recently, Baily has established new foundation for complex multiplication in the context of Hilbert modular functions; see [1]-[4]. However, in his treatment there is a restriction on the class of CM-points treated. Namely, the order of complex multiplications associated to the point must be the maximal order in its quotient field. The purpose of this paper is two-fold: (1) to remove the restriction just mentioned; (2) to recover a result of Tate on the conjugates of CM-points by arbitrary...