Duality theorems for -extensions of algebraic number fields
Duality triads of higher rank: Further properties and some examples
It is shown that duality triads of higher rank are closely related to orthogonal matrix polynomials on the real line. Furthermore, some examples of duality triads of higher rank are discussed. In particular, it is shown that the generalized Stirling numbers of rank r give rise to a duality triad of rank r.
Dualization in algebraic K-theory and the invariant e¹ of quadratic forms over schemes
In the classical Witt theory over a field F, the study of quadratic forms begins with two simple invariants: the dimension of a form modulo 2, called the dimension index and denoted e⁰: W(F) → ℤ/2, and the discriminant e¹ with values in k₁(F) = F*/F*², which behaves well on the fundamental ideal I(F)= ker(e⁰). Here a more sophisticated situation is considered, of quadratic forms over a scheme and, more generally, over an exact category with duality. Our purposes are: ...
Ducci sequences in higher dimensions.
Důkaz jedné věty o binomických součinitelích pomocí počtu pravděpodobnosti
Důkaz věty, že existuje nekonečně mnoho kmenných čísel , je-li kmenné
D'une mesure d'approximation simultanee a une mesure d'irrationalite: le cas de Γ(1/4) et Γ(1/3)
Durchschnitte von Pjateckij-Shapiro-Folgen.
Durfee polynomials.
Dvě poučky o kuželosečkách
Dvě poznámky k teorii číselné
Dvě věty arithmetické
Dwork's conjecture on unit root zeta functions.
Dyadic diaphony
Dyadic diaphony of digital sequences
The dyadic diaphony is a quantitative measure for the irregularity of distribution of a sequence in the unit cube. In this paper we give formulae for the dyadic diaphony of digital -sequences over , . These formulae show that for fixed , the dyadic diaphony has the same values for any digital -sequence. For , it follows that the dyadic diaphony and the diaphony of special digital -sequences are up to a constant the same. We give the exact asymptotic order of the dyadic diaphony of digital...
Dyadic Diophantine approximation and Katok's horseshoe approximation
Dyadic Fractions with Small Partial Quotients.
Dyadische Entwicklungen und Hausdorffsches Mass
Dynamic one-pile blocking Nim.
Dynamical directions in numeration
This survey aims at giving a consistent presentation of numeration from a dynamical viewpoint: we focus on numeration systems, their associated compactification, and dynamical systems that can be naturally defined on them. The exposition is unified by the fibred numeration system concept. Many examples are discussed. Various numerations on rational integers, real or complex numbers are presented with special attention paid to -numeration and its generalisations, abstract numeration systems and...