$p$-adic interpolation of convolutions of Hilbert modular forms

Volker Dünger

Displaying similar documents to “ $p$ -adic interpolation of convolutions of Hilbert modular forms”

Anticyclotomic main conjectures.

Hida, Haruzo (2007)

Documenta Mathematica

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$p$ -adic measures attached to Siegel modular forms

Siegfried Böcherer, Claus-Günther Schmidt (2000)

Annales de l'institut Fourier

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We study the critical values of the complex standard- $L$ -function attached to a holomorphic Siegel modular form and of the twists of the $L$ -function by Dirichlet characters. Our main object is for a fixed rational prime number $p$ to interpolate $p$ -adically the essentially algebraic critical $L$ -values as the Dirichlet character varies thus providing a systematic control of denominators of critical values by generalized Kummer congruences. In order to organize this information we prove the existence...

On the Eisenstein series of Hilbert modular groups.

Goro Shimura (1985)

Revista Matemática Iberoamericana

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Congruences among modular forms on U(2,2) and the Bloch-Kato conjecture

Krzysztof Klosin (2009)

Annales de l’institut Fourier

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Let $k$ be a positive integer divisible by 4, $p > k$ a prime, $f$ an elliptic cuspidal eigenform (ordinary at $p$ ) of weight $k - 1$ , level 4 and non-trivial character. In this paper we provide evidence for the Bloch-Kato conjecture for the motives ${ad}^{0} M (- 1)$ and ${ad}^{0} M (2)$ , where $M$ is the motif attached to $f$ . More precisely, we prove that under certain conditions the $p$ -adic valuation of the algebraic part of the symmetric square $L$ -function of $f$ evaluated at $k$ provides a lower bound for the $p$ -adic valuation of the order...

Admissible $p$ -adic measures attached to triple products of elliptic cusp forms.

Böcherer, Siegfried, Panchishkin, A.A. (2007)

Documenta Mathematica

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On lifting of automorphic forms

Hiroshi Saito (1976-1977)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

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Euler systems obtained from congruences between Hilbert modular forms

Matteo Longo (2007)

Rendiconti del Seminario Matematico della Università di Padova

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On the spezialschar of Maass.

Heim, Bernhard (2010)

International Journal of Mathematics and Mathematical Sciences

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Displaying similar documents to “ p -adic interpolation of convolutions of Hilbert modular forms”

Displaying similar documents to “ $p$ -adic interpolation of convolutions of Hilbert modular forms”