Décomposition d'un entier en somme de carrés et fonction multiplicative
Decomposition of an integer as a sum of two cubes to a fixed modulus
Decomposition of modules, forms and simple knots.
Decomposition of Pascal's kernels mod .
Decomposition of primes in non-maximal orders
Decomposition of primes in number fields defined by trinomials
In this paper we deal with the problem of finding the prime-ideal decomposition of a prime integer in a number field defined by an irreducible trinomial of the type , in terms of and . We also compute effectively the discriminant of .
Decomposition of reductive regular Prehomogeneous Vector Spaces
Let be a regular prehomogeneous vector space (abbreviated to ), where is a reductive algebraic group over . If is a decomposition of into irreducible representations, then, in general, the PV’s are no longer regular. In this paper we introduce the notion of quasi-irreducible (abbreviated to -irreducible), and show first that for completely -reducible ’s, the -isotypic components are intrinsically defined, as in ordinary representation theory. We also show that, in an appropriate...
Decompositions of an Abelian surface and quadratic forms
When a complex Abelian surface can be decomposed into a product of two elliptic curves, how many decompositions does the Abelian surface admit? We provide arithmetic formulae for the number of such decompositions.
Dedekind and Hardy sums
Dedekind cotangent sums
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