On the rationality of periods of primitive forms
On the real cohomology of arithmetic groups and the rank conjecture for number fields
On the Real Points of an Arithmetic Quotient of a Bounded Symmetrie Domain.
On the representation of integers as sums of triangular numbers.
On the representation of numbers by positive diagonal quadratic forms with five variables of level 16.
On the representation of numbers by the direct sums of some binary quadratic forms.
On the representation of numbers by the direct sums of some quaternary quadratic forms.
On the residue of the Eisenstein series and the Siegel-Weil formula
On the Resolution of Cusp Singularities and the Shintani Decomposition in Totally Real Cubic Number Fields.
On the Saito-Kurokawa Lifting.
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 Shimura correspondence for GSp(4).
On the Siegel modular function field of degree three
On the singular set, the resolvent and Fermi's Golden Rule for finite volume hyperbolic surfaces.
On the slopes of the operator acting on overconvergent modular forms
We show that the slopes of the operator acting on 5-adic overconvergent modular forms of weight with primitive Dirichlet character of conductor 25 are given by eitherdepending on and .We also prove that the space of classical cusp forms of weight and character has a basis of eigenforms for the Hecke operators and which is defined over .
On the spaces of Eisenstein series of Hilbert modular groups.
On the spezialschar of Maass.
On the spinor zeta functions problem: higher power moments of the Riesz mean
Let F be a Siegel cusp form of integral weight k on the Siegel modular group Sp₂(ℤ) of genus 2. The coefficients of the spinor zeta function are denoted by cₙ. Let be the Riesz mean of cₙ. Kohnen and Wang obtained the truncated Voronoï-type formula for under the Ramanujan-Petersson conjecture. In this paper, we study the higher power moments of , and then derive an asymptotic formula for the hth (h=3,4,5) power moments of by using Ivić’s large value arguments and other techniques.
On the square root of special values of certain L-series.