On Automorphic Forms on the Unitary Symplectic Group Sp (n) and SL2 (R).
On Certain Dirichlet Series Associated with Automorphic Forms on SL (2, C).
On certain Euler products for SU
On certain Galois representations related to the modular curve
On certain infinite products III
On Congruence Divisors of Cusp Forms as Factors of Special Values of Their Zeta Functions.
On critical values of twisted Artin -functions
We give a simple proof that critical values of any Artin -function attached to a representation with character are stable under twisting by a totally even character , up to the -th power of the Gauss sum related to and an element in the field generated by the values of and over . This extends a result of Coates and Lichtenbaum as well as the previous work of Ward.
On determination of GL₃ cusp forms
On Dirichlet series associated with cubic Gauss sums.
On distinguished representations.
On effective determination of symmetric-square lifts
Let F be the symmetric-square lift with Laplace eigenvalue λ F (Δ) = 1+4µ2. Suppose that |µ| ≤ Λ. We show that F is uniquely determined by the central values of Rankin-Selberg L-functions L(s, F ⋇ h), where h runs over the set of holomorphic Hecke eigen cusp forms of weight κ ≡ 0 (mod 4) with κ≍ϱ+ɛ, t9 = max {4(1+4θ)/(1−18θ), 8(2−9θ)/3(1−18θ)} for any 0 ≤ θ < 1/18 and any ∈ > 0. Here θ is the exponent towards the Ramanujan conjecture for GL2 Maass forms.
On Eisenstein series with characters and Dedekind sums
On Euler products and residual Eisenstein cohomology classes for Siegel modular varieties.
On Hsiao's conjecture on Hecke groups.
On Integrality of Certain Algebraic Numbers Associated with Modular Forms.
On L-functions for GSp(4) X GL(2) and their special values.
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