Divisibility properties of subgroup numbers for the modular group.
Divisibility properties of the 5-regular and 12-regular partition functions.
Divisibility sequences and powers of algebraic integers.
Divisible subgroups of Brauer groups and trace forms of central simple algebras.
Division algebras that ramify only along a singular plane cubic curve.
Division fields of abelian varieties with complex multiplication
Division Values in Local Fields.
Division-ample sets and the Diophantine problem for rings of integers
We prove that Hilbert’s Tenth Problem for a ring of integers in a number field has a negative answer if satisfies two arithmetical conditions (existence of a so-called division-ample set of integers and of an elliptic curve of rank one over ). We relate division-ample sets to arithmetic of abelian varieties.
Divisionsalgebren über Funktionenkörpern
Divisor classes on Shimura curves rational over local fields.
Divisor of the Selberg zeta function for kleinian groups
Divisor problems in special sets of positive integers.
Divisor problems of 4 and 3 dimensions
Divisor weighted sums.
Divisors in a Dedekind domain
Divisors of the Euler and Carmichael functions
Divisors, partitions and some new q-series identities
We obtain new q-series identities that have interesting interpretations in terms of divisors and partitions. We present a proof of a theorem of Z. B. Wang, R. Fokkink, and W. Fokkink, which follows as a corollary to our main q-series identity, and offer a similar result.
Dixon's formula and identities involving harmonic numbers.
Domaines de Voronoï et algorithme de réduction des formes quadratiques définies positives
J’illustre la situation générale par un exemple simple, qui permet de mieux comprendre la géométrie de l’espace des domaines de Voronoï. Ensuite, je donne des résultats généraux sur les arêtes d’un domaine de Voronoï. Finalement, pour les représentants des 15 classes connues de formes parfaites à 7 variables, non équivalentes à et qui possèdent plus de 28 vecteurs minimaux, je fournis une description détaillée de leurs orbites de voisines.
Dominios fundamentales modulares.