Differential Galois realization of double covers
An effective construction of homogeneous linear differential equations of order 2 with Galois group or is presented.
Differential overconvergence
We prove that some of the basic differential functions appearing in the (unramified) theory of arithmetic differential equations, especially some of the basic differential modular forms in that theory, arise from a "ramified situation". This property can be viewed as a special kind of overconvergence property. One can also go in the opposite direction by using differential functions that arise in a ramified situation to construct "new" (unramified) differential functions.
Differentialformen zu Untergruppen der Siegelschen Modulgruppe zweiten Grades.
Dihedral Galois representations and Katz modular forms.
Dimensions of spaces of cusp forms over function fields.
Dimensions of spaces of modular forms for
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.
Dirichlet Series Corresponding to Siegel's Modular Forms.
Dirichletsche Reihen und Modulformen zweiten Grades
Dirichletsche Reihen zur Hilbertschen Modulgruppe.
Diskontinuierliche arithmetische Gruppen im Funktionenkörperfall.
Diskrete Deformation Fuchsscher Gruppen und ihrer automorphen Formen.
Distinguished representations and a Fourier summation formula
Distinguished Representations and Modular Forms of Half-integral Weight.
Distinguishing Hecke eigenvalues of primitive cusp forms
Distribution de points sur une sphère
Distribution of closed geodesics on the modular surface and quadratic irrationals
Distribution of coefficients of Eisenstein series in residue classes
Distribution of the eigenvalues of Hecke operators.
Distribution of the partition function modulo .