Anticyclotomic main conjectures.

Hida, Haruzo

Displaying similar documents to “Anticyclotomic main conjectures.”

On the meromorphic continuation of degree two $L$ -functions.

Taylor, Richard (2007)

Documenta Mathematica

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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...

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

Volker Dünger (1997)

Annales de l'institut Fourier

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In this paper we construct $p$ -adic measures related to the values of convolutions of Hilbert modular forms of integral and half-integral weight at the negative critical points under the assumption that the underlying totally real number field $F$ has class number $h_{F} = 1$ . This extends the result of Panchishkin [Lecture Notes in Math., 1471, Springer Verlag, 1991 ] who treated the case that both modular forms are of integral weight. In order to define the measures, we need to introduce the twist...