2-adic and 3-adic part of class numbers and properties of central values of L-functions
A basis for the space of modular forms
A combinatorial interpretation of Serre's conjecture on modular Galois representations
We state a conjecture concerning modular absolutely irreducible odd 2-dimensional representations of the absolute Galois group over finite fields which is purely combinatorial (without using modular forms) and proof that it is equivalent to Serre’s strong conjecture. The main idea is to replace modular forms with coefficients in a finite field of characteristic , by their counterparts in the theory of modular symbols.
A converse theorem for second-order modular forms of level N
A decomposition of the space of higher order modular cusp forms
A density theorem and extreme values of automorphic L-functions at one
We establish a density theorem for symmetric power L-functions attached to primitive Maass forms and explore some applications to extreme values of these L-functions at 1.
A function on the upper half space which is analogous to the imaginary part of log ... (z).
A lower bound for the rank of
A mean square formula for central values of twisted automorphic L-functions
A new way to get Euler products.
A -adic measure attached to the zeta functions associated with two elliptic modular forms. II
Let and be holomorphic common eigenforms of all Hecke operators for the congruence subgroup of with “Nebentypus” character and and of weight and , respectively. Define the Rankin product of and bySupposing and to be ordinary at a prime , we shall construct a -adically analytic -function of three variables which interpolate the values for integers with by regarding all the ingredients , and as variables. Here is the Petersson self-inner product of .
A p-adic measure attached to the zeta functions associated with two elliptic modular forms. I.
An A4 extension of Q attached to a non-selfdual automorphic form on GL(3).
Appendix to Orloff: Critical values of certain tensor product L-functions.
Automorphic forms, hyperfunction cohomology, and period functions.
Averages of twisted elliptic L-functions
Beilinson-Kato elements in K₂ of modular curves
Certain mean values and non-vanishing of automorphic L-functions with large level
CM points and quaternion algebras.
Cohomologie d’intersection et fonctions de certaines variétés de Shimura