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
On the Second L-Functions Attached to Hilbert Modular Forms.
On the square root of special values of certain L-series.
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