On the distribution mod 1 of the sequence nα

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August undefined, 2024

Web25 de mai. de 2010 · Vera T. Sós, On the distribution mod 1 of the sequence {nα}, Ann. Univ. Sci. Budapest, 1 (1958), 127–234. MATH Google Scholar Vera T. Sós and S. K. … Web1. Introduction Since the discovery of quasicrystals some 20 years ago, mathematicians and physicists have gained a reasonable understanding of aperiodically ordered systems, in particular of those obtained from the projection method. Such sets are called cut and project sets, or model sets [17].

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WebarXiv:1910.11766v1 [math.NT] 25 Oct 2024 On the discrepancyof randomsubsequences of {nα} Istva´n Berkes∗ and Bence Borda† Abstract For irrational α, {nα} is uniformly dist WebLet 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}, … small musical instrument crossword clue

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Web11 de fev. de 2024 · On the distribution mod 1 of the sequence nα. Ann. Univ. Sci. Budapest Eötvös Sect. Math. 1, 127–134 (1958) Google Scholar Surányi, J.: Über die Anordnung der Vielfachen einer reellen Zahl mod 1. Ann. Univ. Sci. Budapest Eötvös Sect. Math. 1, 107–111 (1958) Google Scholar ... 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 … 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 … small music venues in atlanta

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[2006.16629] On the correlations of $n^α$ mod 1 - arXiv.org

Web1 de set. de 2003 · Let α be an irrational number and let D N*(α) and DN(α) denote the star-discrepancy and the discrepancy of the sequence (nα)n ≥1 mod 1, resp. Web1 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]. highlight circle mouse cursorWebWe say the sequence {ξj} is Poisson distributed if lim N→∞ EN(k,L) = Lk k! e−L This means {ξj} behaves like a generic realization of independent random vari-ables mod 1. … small musical notes images

"WebThe ﬁrst part is concerned with sequences of the type x k = n kα, n1 < n2 < n3 < ···, mod 1. Improving a result of ˇSala´t we show that, if the quotients q k = n k+1/n k satisfy q k ≥ 1 + ε, then the set of α such that (x k) is uniformly distributed is of ﬁrst Baire category, i.e. for generic α we do not have uniform distribution. " - On the distribution mod 1 of the sequence nα

On the distribution mod 1 of the sequence nα

A RADIAL ANALOGUE OF POISSON’S SUMMATION FORMULA …

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 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 …

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WebAbstract. Let α be an irrational number and let D N * (α) and D N (α) denote the star-discrepancy and the discrepancy of the sequence (nα) n ≥1 mod 1, resp. We study … 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.

WebH. HEILBRONN, ON THE DISTRIBUTION OF THE SEQUENCE n 2 θ (mod 1), The Quarterly Journal of Mathematics, Volume os-19, Issue 1, 1948, Pages 249–256, … Web1 de jul. de 1997 · These sums are closely related to the discrepancy of the sequence ({nα}); ... On a conjecture of Erdős and Szüsz related to uniform distribution mod 1. Acta. ... Uniform Distribution of Sequences, Wiley, New York (1974) Google Scholar. 12. M. Lerch. Question 1547. l'intermédiate des Mathématiciens, 11 (1904), pp. 145-146. View ...

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 Web1 de jan. de 1984 · Indagationes Mathematicae (Proceedings) Volume 87, Issue 3, 1984, Pages 315-327, 1984, Pages 315-327

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.

Web1 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 ... highlight churchWebIn this paper we investigate powers of prefixes of Sturmian sequences. We give an explicit formula for ice(ω), the initial critical exponent of a Sturmian sequence ω, defined as the … small music notes imagesWebOn the Distribution Modulo 1 of the Sequence αn2 + βn - Volume 29 Issue 4. Skip to main content Accessibility help We use cookies to distinguish you from other users and to … highlight circleWeb23 de mar. de 2024 · Halton J H 1965 The distribution of the sequence {nξ}(n=0,1,2,⋯) Proc. Camb. Phil. Soc. 61 665–70. ... Sós V T 1958 On the distribution mod 1 of the … highlight circle for powerpoint small music venues in new orleansWeb1 de ago. de 2007 · On the distribution mod 1 of the sequence nα. Annals of the University of Science, Budapest Eötvös. Sect Math, I: 127 – 134. [Google Scholar] Clough, J. 1989. Review of David Lewin's Generalized Musical Intervals and Transformations. Music Theory Spectrum, 11: 226 – 231. [Google Scholar] Lewin, D. 1987. small music venues philadelphiaWeb4 de jan. de 2006 · be the L 2-discrepancy of the sequence (nα) mod 1, where {y} denotes the fractional part of the real number y. In this paper, we give an explicit formula for D * … highlight circular references excel