Special values of the standard zeta functions for elliptic modular forms.
Special values of twisted symmetric square -functions and the trace formula
Special values of zeta functions attached to Siegel modular forms
Spectral deformations of automorphic functions over graphs of groups.
Spectral geometry and scattering theory for certain complete surfaces of finite volume.
Spectral limits for hyperbolic surfaces, I.
Spectral limits for hyperbolic surfaces, II.
Spectral theta series of operators with periodic bicharacteristic flow
The theta series is a classical example of a modular form. In this article we argue that the trace , where is a self-adjoint elliptic pseudo-differential operator of order 1 with periodic bicharacteristic flow, may be viewed as a natural generalization. In particular, we establish approximate functional relations under the action of the modular group. This allows a detailed analysis of the asymptotics of near the real axis, and the proof of logarithm laws and limit theorems for its value...
Square Integrable Automorphic Forms and Cohomology of Arithmetic Quotients of SU (p,q).
Stabile Modul formen.
Stability of gamma factors for SO (2n + 1).
Stabilization of periods of Eisenstein series and Bessel distributions on relative to .
Stable Trace Formula: Elliptic Singular Terms.
Stickelberger elements and modular parametrizations of elliptic curves.
Stickelberger Ideals.
Strong spectral gaps for compact quotients of products of )
The existence of a strong spectral gap for quotients of noncompact connected semisimple Lie groups is crucial in many applications. For congruence lattices there are uniform and very good bounds for the spectral gap coming from the known bounds towards the Ramanujan–Selberg conjectures. If has no compact factors then for general lattices a spectral gap can still be established, but there is no uniformity and no effective bounds are known. This note is concerned with the spectral gap for an irreducible...
Sturm type theorem for Siegel modular forms of genus 2 modulo p
Suppose that f is an elliptic modular form with integral coefficients. Sturm obtained bounds for a nonnegative integer n such that every Fourier coefficient of f vanishes modulo a prime p if the first n Fourier coefficients of f are zero modulo p. In the present note, we study analogues of Sturm's bounds for Siegel modular forms of genus 2. As an application, we study congruences involving an analogue of Atkin's U(p)-operator for the Fourier coefficients of Siegel modular forms of genus 2.
Su una generazione del gruppo simplettico modulare di Siegel-Conforto
Subgroups of the (2,3,7) Triangle Group.
Subgroups of the modular group defined by a single linear congruence