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Displaying 341 – 360 of 661

Differential equations associated with generalized Bell polynomials and their zeros

Seoung Cheon Ryoo (2016)

Open Mathematics

In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials.We give explicit identities for the generalized Bell polynomials. Finally, we investigate the zeros of the generalized Bell polynomials by using numerical simulations.

Differential Galois realization of double covers

Teresa Crespo, Zbigniew Hajto (2002)

Annales de l’institut Fourier

An effective construction of homogeneous linear differential equations of order 2 with Galois group $2 A_{4}, 2 S_{4}$ or $2 A_{5}$ is presented.

Differential overconvergence

Alexandru Buium, Arnab Saha (2011)

Banach Center Publications

We prove that some of the basic differential functions appearing in the (unramified) theory of arithmetic differential equations, especially some of the basic differential modular forms in that theory, arise from a "ramified situation". This property can be viewed as a special kind of overconvergence property. One can also go in the opposite direction by using differential functions that arise in a ramified situation to construct "new" (unramified) differential functions.

Differentialformen zu Untergruppen der Siegelschen Modulgruppe zweiten Grades.

Rainer Weissauer (1988)

Journal für die reine und angewandte Mathematik

Différentielles et congruences

Daniel Barsky (1976/1977)

Groupe de travail d'analyse ultramétrique

Digging Holes in Algebraic Closures à la Artin. I.

Antonio J. Engler, T.M. Viswanathan (1983)

Mathematische Annalen

Digit derivatives and application to zeta measures

Sangtae Jeong (2004)

Acta Arithmetica

Digit sets of integral self-affine tiles with prime determinant

Jian-Lin Li (2006)

Studia Mathematica

Let M ∈ Mₙ(ℤ) be expanding such that |det(M)| = p is a prime and pℤⁿ ⊈ M²(ℤⁿ). Let D ⊂ ℤⁿ be a finite set with |D| = |det(M)|. Suppose the attractor T(M,D) of the iterated function system ${ϕ_{d} (x) = M^{- 1} (x + d)}_{d \in D}$ has positive Lebesgue measure. We prove that (i) if D ⊈ M(ℤⁿ), then D is a complete set of coset representatives of ℤⁿ/M(ℤⁿ); (ii) if D ⊆ M(ℤⁿ), then there exists a positive integer γ such that $D = M^{γ} D ₀$ , where D₀ is a complete set of coset representatives of ℤⁿ/M(ℤⁿ). This improves the corresponding results of Kenyon,...

Digital expansion of exponential sequences

Michael Fuchs (2002)

Journal de théorie des nombres de Bordeaux

We consider the $q$ -ary digital expansion of the first $N$ terms of an exponential sequence $a^{n}$ . Using a result due to Kiss and Tichy [8], we prove that the average number of occurrences of an arbitrary digital block in the last $c log N$ digits is asymptotically equal to the expected value. Under stronger assumptions we get a similar result for the first ${(log N)}^{\frac{3}{2} - ϵ}$ digits, where $ϵ$ is a positive constant. In both methods, we use estimations of exponential sums and the concept of discrepancy of real sequences modulo $1$ ...

Digital expansions in real algebraic quadratic fields.

Farkas, Gábor (1999)

Mathematica Pannonica

Digital Nets and Sequences Constructed over Finite Rings and Their Application to Quasi-Monte Carlo Integration.

H. Niederreiter, G. Larcher, W.Ch. Schmid (1996)

Monatshefte für Mathematik

Digital sum moments and substitutions

Jean Marie Dumont, Alain Thomas (1993)

Acta Arithmetica

Digital (t,m,s)-nets and the spectral test

Peter Hellekalek (2002)

Acta Arithmetica

Digits and continuants in euclidean algorithms. Ergodic versus tauberian theorems

Brigitte Vallée (2000)

Journal de théorie des nombres de Bordeaux

We obtain new results regarding the precise average-case analysis of the main quantities that intervene in algorithms of a broad Euclidean type. We develop a general framework for the analysis of such algorithms, where the average-case complexity of an algorithm is related to the analytic behaviour in the complex plane of the set of elementary transformations determined by the algorithms. The methods rely on properties of transfer operators suitably adapted from dynamical systems theory and provide...

Digraphs Associated With Finite Rings

Aleksandar T. Lipkovski (2012)

Publications de l'Institut Mathématique

Dihedral and cyclic extensions with large class numbers

Peter J. Cho, Henry H. Kim (2012)

Journal de Théorie des Nombres de Bordeaux

This paper is a continuation of [2]. We construct unconditionally several families of number fields with large class numbers. They are number fields whose Galois closures have as the Galois groups, dihedral groups $D_{n}$ , $n = 3, 4, 5$ , and cyclic groups $C_{n}$ , $n = 4, 5, 6$ . We first construct families of number fields with small regulators, and by using the strong Artin conjecture and applying some modification of zero density result of Kowalski-Michel, we choose subfamilies such that the corresponding $L$ -functions are zero free...

Currently displaying 341 – 360 of 661

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Displaying 341 – 360 of 661

Differential equations associated with generalized Bell polynomials and their zeros

Differential Galois realization of double covers

Differential overconvergence

Differentialformen zu Untergruppen der Siegelschen Modulgruppe zweiten Grades.

Différentielles et congruences

Digging Holes in Algebraic Closures à la Artin. I.

Digit derivatives and application to zeta measures

Digit sets of integral self-affine tiles with prime determinant

Digital expansion of exponential sequences

Digital expansions in real algebraic quadratic fields.

Digital Nets and Sequences Constructed over Finite Rings and Their Application to Quasi-Monte Carlo Integration.

Digital sum moments and substitutions

Digital (t,m,s)-nets and the spectral test

Digits and continuants in euclidean algorithms. Ergodic versus tauberian theorems

Digraphs Associated With Finite Rings

Dihedral and cyclic extensions with large class numbers

Dihedral extensions of Q of degree 21 which contain non-Galois extensions with class number not divisible by l

Dihedral Galois representations and Katz modular forms.

Dilogarithme $p$ -adique

Dilogarithms, Regulators and p-adic L-functions.

Currently displaying 341 – 360 of 661