Certain L-series of Ranking-Selberg type associated to Siegel modular forms of degree g.
Characteristic Twists of a Dirichlet series for Siegel Cusp Forms.
Corrections to: "On integrality of Eisenstein Liftings".
Cusp forms and special values of certain Dirichlet series.
Cycle integrals of Maass forms of weight 0 and Fourier coefficients of Maass forms of weight 1/2
Dedekind sums for Hecke groups
Dedekind sums involving Jacobi modular forms and special values of Barnes zeta functions
In this paper we study three new shifted sums of Apostol-Dedekind-Rademacher type. The first sums are written in terms of Jacobi modular forms, and the second sums in terms of cotangent and the third sums are expressed in terms of special values of the Barnes multiple zeta functions. These sums generalize the classical Dedekind-Rademacher sums. The main aim of this paper is to state and prove the Dedekind reciprocity laws satisfied by these new sums. As an application of our Dedekind reciprocity...
Dirichlet series and uniform ergodic theorems for linear operators in Banach spaces
We study the convergence properties of Dirichlet series for a bounded linear operator T in a Banach space X. For an increasing sequence of positive numbers and a sequence of functions analytic in neighborhoods of the spectrum σ(T), the Dirichlet series for is defined by D[f,μ;z](T) = ∑n=0∞ e-μnz fn(T), z∈ ℂ. Moreover, we introduce a family of summation methods called Dirichlet methods and study the ergodic properties of Dirichlet averages for T in the uniform operator topology.
Dirichletsche Reihen und Modulformen zweiten Grades
Dirichletsche Reihen zur Hilbertschen Modulgruppe.
Distinguishing Hecke eigenvalues of primitive cusp forms
Eisenstein series and zeta functions on symplectic groups.
Eisenstein series for Siegel modular groups.
Eisenstein series on four-dimensional hyperbolic space
Eisenstein series on reductive symmetric spaces and representations of Hecke algebras.
Eisensteinreihen für einige arithmetisch definierte Untergruppen von SL2 (IH).
Euler products and Fourier coefficients of automorphic forms on symplectic groups.
Explicit formulae of Siegel Eisenstein series.
Familles de fonctions de formes automorphes et applications
Une notion importante qui a émergé de la théorie analytique des fonctions ces dernières années, est celle de famille. Par exemple les familles de fonctions interviennent naturellement dans le modèle probabiliste des matrices aléatoires de Katz/Sarnak qui vise à prédire la répartition des zéros des fonctions . L’analyse des fonctions en famille intervient également dans la résolution (inconditionnelle) de divers problèmes ayant une signification arithmétique profonde, tel que le problème de...
Fonction L des courbes modulaires