On liftings and cusp cohomology of arithmetic groups.
On -adic -functions of over totally real fields
Let be the Rankin product -function for two Hilbert cusp forms and . This -function is in fact the standard -function of an automorphic representation of the algebraic group defined over a totally real field. Under the ordinarity assumption at a given prime for and , we shall construct a -adic analytic function of several variables which interpolates the algebraic part of for critical integers , regarding all the ingredients , and as variables.
On products of eigenforms
On quadratic character twists of Hecke L-functions attached to cusp forms of varying weights at the central point
On Ramanujan congruences between special values of Hecke and Dirichlet L-functions
On the 4-norm of an automorphic form
We prove the optimal upper bound where runs over an orthonormal basis of Maass cusp forms of prime level and bounded spectral parameter.
On the Andrianov-type identity for power series attached to Jacobi forms and its application
On the critical values of certain Dirichlet series and the periods of automorphic forms.
On the degree 5 L-function for Sp (2).
On the distribution of analytic values on quadratic twists of elliptic curves.
On the distribution of Kummer sums.
On the Kronecker Pairing for Mixed Cusp Forms.
On the order of vanishing of modular -functions at the critical point
On the orthogonal symmetry of L-functions of a family of Hecke Grössencharacters
The family of symmetric powers of an L-function associated with an elliptic curve with complex multiplication has received much attention from algebraic, automorphic and p-adic points of view. Here we examine one explicit such family from the perspectives of classical analytic number theory and random matrix theory, especially focusing on evidence for the symmetry type of the family. In particular, we investigate the values at the central point and give evidence that this family can be modeled by...
On the p-adic height of Heegner cycles.
On the Petersson norm of a Siegel-Hecke Eigenform of degree two in the Maass space.
On the Poles of Andranov L-Functions.
On the products of Hecke L-functions of holomorphic cusp forms
On the rationality of periods of primitive forms
On the search of genuine -adic modular -functions for . With a correction to: On -adic -functions of over totally real fields