On the distribution mod 1 of the sequence nα
Webadshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A Web18 de jun. de 2024 · Title: On the Uniform Distribution (mod 1) of the Farey Sequence, quadratic Farey and Riemann sums with a remark on local integrals of $ζ(s)$ Authors: Michel Weber Download PDF
On the distribution mod 1 of the sequence nα
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Web20 de nov. de 2024 · On the Distribution of the Sequence n2θ (mod 1) - Volume 39 Issue 2. Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings. Web30 de jun. de 2024 · Abstract: A well known result in the theory of uniform distribution modulo one (which goes back to Fejér and Csillag) states that the fractional parts $\{n^\alpha\}$ of the sequence $(n^\alpha)_{n\ge1}$ are uniformly distributed in the unit interval whenever $\alpha>0$ is not an integer.
Web24 de out. de 2008 · We shall describe how, for successive integers N, the points {n ξ}, with n = 0, 1, …, N – 1, are distributed in the closed unit interval U = [0, 1]; by showing how … Web4 de jan. de 2006 · Assume that α is an irrational number with continued fraction expansion [a0;a1, . . .] and convergents ,n= 0, 1 . . . . Every positive integer N has a unique expansion N=b0q0+b1q1+ . . . +b m q m , where the digits b i are nonnegative integers with b0
Webof distribution of a sequence xn mod 1, n = 1;2;:::, with the set G(xn mod 1) of all distribution functions (abbreviating d.f.s) of the sequence xn mod 1, 2000 Mathematics … WebJ. Surányi, Über die Anordnung der Vielfachen einer reellen Zahl mod 1,Ann. Univ. Sci. Budapest Eötvös Sect. Math. 1, (1958), 107–111. Google Scholar S. Swierczkowski , On successive settings of an arc on the circumference of a circle, Found.
WebA well known result in the theory of uniform distribution modulo 1 (which goes back to Fejér and Csillag) states that the fractional ... the k k k-level correlation functions of the sequence ({n ... On the correlations of n α n^\alpha n α mod 1. J. Eur. Math. Soc. (2024), DOI 10.4171/JEMS/1281. Publication Date. 5 October 2024. Identifiers ...
data means a group of numbers. true falseWeb20 de nov. de 2024 · On the Distribution of the Sequence n2θ (mod 1) - Volume 39 Issue 2 Skip to main content Accessibility help We use cookies to distinguish you from other … data means of productionWeb1 de ago. de 2011 · Let ω:= (xn)n⩾1 be any sequence of real numbers in the interval [0,1), N a positive integer and x∈ [0,1). Then DN (ω,x):=∑n=1Nc [0,x) (xn)−Nx is called the local discrepancy of the ... data may support a hypothesisWebLet a be a real number, N a positive integer and N a subset of {0, 1, 2,..., N}. We give an upper bound for the number of distinct lengths of gaps between the fractional parts {nα}, … data meeting forms for elementary schoolWeb1 de mar. de 2024 · Given any rational number 0 < x < 1 (say, x = 1/2) and any positive integer n, we count the number of elements of the sequence α, 2α, 3α, …, nα modulo 1 that fall into the subinterval [0, x]. data may be defined asWebIt was shown that for any sequence (an)n≥1 of distinct positive integers, the sequence (xan)n≥1 is completely uniformly distributed modulo one for almost all real numbers x with x > 1. In the paper “Metric theorems on uniform distribution and approximation theory” [38], again in cooperation with Tichy, this result was even general- data measurement frameworkWeb9 de abr. de 2009 · This paper is concerned with the distribution of N points placed consecutively around the circle by an angle of α. We offer a new proof of the Steinhaus … bits and pieces paisley