-chtoucas de Drinfeld à modifications symétriques et identité de changement de base
Darstellungen von SL(2, Z/p ... Z) und Thetafunktionen. I.
Darstellungen von SL(2,.../p...) und Thetafunktionen. II.
Das Verhalten der Dedekindschen Funktion ...(...) unter Modulsubstitutionen.
Das Verhalten von mehrfachen Thetareihen bei Modulsubstitutionen
Davenport-Hasse relations and an explicit Langlands correspondence, II : twisting conjectures
Let be a finite field extension. The Langlands correspondence gives a canonical bijection between the set of equivalence classes of irreducible -dimensional representations of the Weil group of and the set of equivalence classes of irreducible supercuspidal representations of GL. This paper is concerned with the case where . In earlier work, the authors constructed an explicit bijection using a non-Galois tame base change map. If this tame base change satisfies a certain conjectured...
Dedekind and Hardy sums
Dedekind cotangent sums
Dedekind sums and continued fractions
Dedekind sums and power residue symbols
Dedekind sums and signatures of intersection forms.
Dedekind sums for Hecke groups
Dedekind sums, ..-invariants and the signature cocycle.
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...
Dedekind sums with characters and class numbers of imaginary quadratic fields
Dedekind sums with predictable signs
Dedekind type sums and Hecke operators
Dedekind-Rademacher sums and their reciprocity formula.
Dedekindsummen mit elliptischen Funktionen.
Defect series and nonrational Hilbert modular threefolds.