On the Trace Formula of the Hecke Operators and the Special Values of the Second L-Functions Attached to the Hilbert Modular Forms.
On values of L-functions of totally real algebraic number fields at integers
Optimal levels for modular mod 2 representations over totally real fields.
-adic interpolation of convolutions of Hilbert modular forms
In this paper we construct -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 has class number . 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 operator...
-adic ordinary Hecke algebras for
We study the -adic nearly ordinary Hecke algebra for cohomological modular forms on over an arbitrary number field . We prove the control theorem and the independence of the Hecke algebra from the weight. Thus the Hecke algebra is finite over the Iwasawa algebra of the maximal split torus and behaves well under specialization with respect to weight and -power level. This shows the existence and the uniqueness of the (nearly ordinary) -adic analytic family of cohomological Hecke eigenforms...
p-Adic L-Functions for CM Fields.
Period invariants of Hilbert modular forms, II
Period relations and the Tate conjecture for Hubert modular surfaces.
Rationalité de valeurs spéciales de certaines fonctions L
Representation of a prime as the sum of squares in a tower of fields.
Rings of Hilbert modular forms
Second moments of holomorphic Hilbert modular forms and subconvexity
Smoothing Cusp Singularities of Small Length.
Special values of Hilbert modular functions.
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 Galois...
Special values of twisted symmetric square -functions and the trace formula
Sur les fonctions hyperabéliennes
Sur les représentations -adiques associées aux formes modulaires de Hilbert
Symmetrische Hilbertsche Modulformen und Modulfunktionen zu Q (...17).
Symmetrische Modulflächen der Diskriminante p2.
Tate conjecture for twisted Siegel modular threefolds