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
Sums involving the values at negative integers of L functions of quadratic characters
Sums Involving the Values at Negative Integers of L-Functions of Quadratic Characters.
Sums of coefficients of Hecke series
Sums of L-functions over rational function fields
Sums of Powers of Cusp Form Coefficients.
Sums of Powers of Cusp Form Coefficients. II.
Sums of squares in
Superelliptic equations arising from sums of consecutive powers
Using only elementary arguments, Cassels solved the Diophantine equation (x-1)³ + x³ + (x+1)³ = z² (with x, z ∈ ℤ). The generalization (with x, z, n ∈ ℤ and n ≥ 2) was considered by Zhongfeng Zhang who solved it for k ∈ 2,3,4 using Frey-Hellegouarch curves and their corresponding Galois representations. In this paper, by employing some sophisticated refinements of this approach, we show that the only solutions for k = 5 have x = z = 0, and that there are no solutions for k = 6. The chief innovation...
Support polygons and the resolution of modular functional singularities
Sur la formule des traces de Selberg