-adic -functions for modular forms
-adic -functions for unitary Shimura varieties. I: Construction of the Eisenstein measure.
-adic measures attached to Siegel modular forms
We study the critical values of the complex standard--function attached to a holomorphic Siegel modular form and of the twists of the -function by Dirichlet characters. Our main object is for a fixed rational prime number to interpolate -adically the essentially algebraic critical -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 of...
-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 Congruences and Modular Forms of Half Integer Weight.
p-Adic Congruences for Cycle Integrals Associated to Elliptic Curves with Complex Multiplication.
p-adic measures attached to automorphic representations of GL (3).
p-adic periods and modular symbols of elliptic curves of prime conductor.
Parité des valeurs propres des opérateurs de Hecke.
Partial fraction decompositions and Kummer congruences for the normalized coefficients of the Laurent expansion of elliptic functions parametrizing a nonsingular cubic curve in Hessian normal form.
Points de Heegner et derivées de fonctions L p-adiques.
Proof of the Deligne-Langlands conjecture for Hecke algebras..