On the Fourier coefficients of modular forms

Douglas L. Ulmer

Displaying similar documents to “On the Fourier coefficients of modular forms”

Dirichlet motives via modular curves

Annette Huber, Guido Kings (1999)

Annales scientifiques de l'École Normale Supérieure

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Endomorphism algebras of motives attached to elliptic modular forms

Alexander F. Brown, Eknath P. Ghate (2003)

Annales de l’institut Fourier

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We study the endomorphism algebra of the motive attached to a non-CM elliptic modular cusp form. We prove that this algebra has a sub-algebra isomorphic to a certain crossed product algebra $X$ . The Tate conjecture predicts that $X$ is the full endomorphism algebra of the motive. We also investigate the Brauer class of $X$ . For example we show that if the nebentypus is real and $p$ is a prime that does not divide the level, then the local behaviour of $X$ at a place lying above $p$ is essentially...

Galois representations modulo p and cohomology of Hilbert modular varieties

Mladen Dimitrov (2005)

Annales scientifiques de l'École Normale Supérieure

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Stark–Heegner points on modular jacobians

Samit Dasgupta (2005)

Annales scientifiques de l'École Normale Supérieure

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The Tamagawa number conjecture of adjoint motives of modular forms

Fred Diamond, Matthias Flach, Li Guo (2004)

Annales scientifiques de l'École Normale Supérieure

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