Dedekind Sums and Class Numbers.
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 lattice points in triangles and tetrahedra
Dedekind-Rademacher sums and their reciprocity formula.
Dedekindsummen mit elliptischen Funktionen.
Defect series and nonrational Hilbert modular threefolds.
Defects of Cusp Singularities.
Definability in the extended arithmetic of ordinal numbers [Book]
Definability of arithmetical operations from binary quadratic forms
Definability within structures related to Pascal’s triangle modulo an integer
Let Sq denote the set of squares, and let be the squaring function restricted to powers of n; let ⊥ denote the coprimeness relation. Let . For every integer n ≥ 2 addition and multiplication are definable in the structures ⟨ℕ; Bn,⊥⟩ and ⟨ℕ; Bn,Sq⟩; thus their elementary theories are undecidable. On the other hand, for every prime p the elementary theory of ⟨ℕ; Bp,SQp⟩ is decidable.
Definable sets over finite fields.
Definite arithmetische Gruppen.