Construction of minimal bracketing covers for rectangles.
Construction of normal numbers via pseudo-polynomial prime sequences
We construct normal numbers in base q by concatenating q-ary expansions of pseudo-polynomials evaluated at primes. This extends a recent result by Tichy and the author.
Construction of normal numbers with respect to the Q-Cantor series expansion for certain Q
Construction of Optimal Linear Codes by Geometric Puncturing
Dedicated to the memory of S.M. Dodunekov (1945–2012)Abstract. Geometric puncturing is a method to construct new codes. ACM Computing Classification System (1998): E.4.∗This research was partially supported by Grant-in-Aid for Scientific Research of Japan Society for the Promotion of Science under Contract Number 24540138.
Construction of Ray class fields by elliptic units
From complex multiplication we know that elliptic units are contained in certain ray class fields over a quadratic imaginary number field , and Ramachandra [3] has shown that these ray class fields can even be generated by elliptic units. However the generators constructed by Ramachandra involve very complicated products of high powers of singular values of the Klein form defined below and singular values of the discriminant . It is the aim of this paper to show, that in many cases a generator...
Construction of Šindel sequences
We found that there is a remarkable relationship between the triangular numbers and the astronomical clock (horologe) of Prague. We introduce Šindel sequences of natural numbers as those periodic sequences with period that satisfy the following condition: for any there exists such that . We shall see that this condition guarantees a functioning of the bellworks, which is controlled by the horologe. We give a necessary and sufficient condition for a periodic sequence to be a Šindel sequence....
Construction of some classes in the cohomology of Siegel modular threefolds
Construction of the real dihedral number fields of degree 2p. Applications
Construction, sur un anneau de Dedekind, d'une base reguliere de polynomes a valeurs entieres.
Constructions de polynômes génériques à groupe de Galois résoluble
On sait que les seuls sous-groupes résolubles transitifs du groupe symétrique ₅ sont isomorphes au groupe de Frobenius , au groupe diédral D₅ et au groupe cyclique C₅. Nous montrerons comment construire des extensions de degré 5 à groupe de Galois résoluble à l’aide de courbes elliptiques. Dans un premier paragraphe nous utiliserons une courbe elliptique ayant un point de 5-torsion rationnel pour les groupes D₅ et C₅. Puis, dans le paragraphe suivant, nous utiliserons une courbe elliptique ayant...
Constructions of automorphic forms and related cohomology classes for arithmetic subgroups of
Constructions of -sequences
Constructions of digital nets
Constructions of digital nets using global function fields
Constructions of plane curves with many points
Constructions of smooth and analytic cocycles over irrational circle rotations
We define a class of step cocycles (which are coboundaries) for irrational rotations of the unit circle and give conditions for their approximation by smooth and real analytic coboundaries. The transfer functions of the approximating (smooth and real analytic) coboundaries are close (in the supremum norm) to the transfer functions of the original ones. This result makes it possible to construct smooth and real analytic cocycles which are ergodic, ergodic and squashable (see [Aaronson, Lemańczyk,...
Constructive and non-constructive methods of proofs of irrationality and transcendency and algebraic independence of periods of abelian varieties
Construire un noyau de la fonctorialité ? Le cas de l’induction automorphe sans ramification de GL à GL
Le but de cet article est de présenter une nouvelle méthode purement adélique pour réaliser le principe de fonctorialité de Langlands dans le cas de l’induction automorphe sans ramification de GL à GL sur les corps de fonctions. On construit sur le produit des groupes adéliques GL et GL un noyau de la fonctorialité. C’est une version “en famille” et locale de la construction par les modèles de Whittaker globaux, utilisée classiquement dans les “théorèmes réciproques” de Weil et Piatetski-Shapiro....
Continuants with Bounded Digits - III.
Continued fraction expansions for complex numbers-a general approach
We introduce a general framework for studying continued fraction expansions for complex numbers, and establish some results on the convergence of the corresponding sequence of convergents. For continued fraction expansions with partial quotients in a discrete subring of ℂ an analogue of the classical Lagrange theorem, characterising quadratic surds as numbers with eventually periodic continued fraction expansions, is proved. Monotonicity and exponential growth are established for the absolute values...