On the distribution mod 1 of the sequence nα
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. Web4 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 * …
On the distribution mod 1 of the sequence nα
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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, … 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}, …
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 ... Web24 de out. de 2008 · Gaps and steps for the sequence nθ mod 1 - Volume 63 Issue 4. Skip to main content Accessibility help We use cookies to distinguish you from other users …
Web23 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 … 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.
Web1 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.
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. phil morgan pottery for saleWeb18 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 t sean latest songsWeb25 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. … phil morgan potterWebH. HEILBRONN; ON THE DISTRIBUTION OF THE SEQUENCE n2θ (mod 1), The Quarterly Journal of Mathematics, Volume os-19, Issue 1, 1 January 1948, Pages 249–256, https We use cookies to enhance your experience on our website.By continuing to use our website, you are agreeing to our use of cookies. t-sean-rise feat jorziWeb1 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 ... phil morgan pottery valueWebA 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 ... phil morgan potteryWeb2. Density and uniform distribution mod 1. Throughout, [x]means the great- est integer less than or equal to x; (x) = x -[x]is the fractional part of x. In discussing the uniform distribution of sequences mod 1, the notation of Kuipers and Niederreiter (1974) will be followed. Let the left-most digit of a real number phil morgan seagrove pottery