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Nearly holomorphic functions on hermitian symmetric spaces
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This article is published in Mathematische Annalen.The article was published on 1987-03-01. It has received 66 citations till now. The article focuses on the topics: Hermitian manifold & Hermitian symmetric space.read more
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$p$ -adic measures attached to Siegel modular forms
TL;DR: In this article, the authors define a set of mesures p-adiques definissent des fonctions L padiques, which par consequent interpolent padiquement les valeurs critiques normalisees.
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Absolute CM-periods
TL;DR: In this paper, the Stark-Shintani conjecture of absolute CM-periods and explicit cone decompositions were investigated. But they were applied to a limit formula of Kronecker's type Eisenstein series on higher derivatives of higher functions.
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On the critical values of certain Dirichlet series and the periods of automorphic forms
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Saito-Kurokawa lifts and applications to the Bloch-Kato conjecture
TL;DR: In this paper, the Bloch-Kato conjecture for modular forms was shown to hold for a new form of weight 2k-2 and level 1, and the congruence between the Saito-Kurokawa lift of f and a cuspidal Siegel eigenform was established.
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The special values of the zeta functions associated with Hilbert modular forms
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On some arithmetic properties of modular forms of one and several variables
TL;DR: In this article, it was shown that a certain nonholomorphic derivative of a Hilbert modular form with algebraic Fourier coefficients, divided by another modular form, takes an algebraic value at every point with complex multiplication.