Zobrazeno 1 - 10 of 127 pro vyhledávání: '"J. Schoissengeier"'
2
An Explicit Formula for the L2-Discrepancy of (nα)-Sequences
Autor: J. Schoißengeier, L. Roçadas
Publikováno v: Computing. 77:113-128
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+ . . . +bmqm, where the digits bi are nonnegative integers with b0
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::534cd585a687bca55625b70228aa39a8
https://doi.org/10.1007/s00607-005-0143-1
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4
Another Proof of a Theorem of J. Beck
Autor: J. Schoissengeier
Publikováno v: Monatshefte f�r Mathematik. 129:147-151
Let x be a real number, α an irrational number with continued fraction expansion \(\) and convergents \(\) a positive integer, \(\) be chosen such that \(\) the fractional part of x and \(\) J. Beck [1] proved that \(\) We give a shorter proof, ther
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4f651228377e1f0f881bb03671decde6
https://doi.org/10.1007/s006050050014
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7
A metrical result on the discrepancy of (nα)
Autor: J. Schoissengeier
Publikováno v: Glasgow Mathematical Journal. 40:393-425
In the following let Ω be the set of irrational numbers in the interval [0,1] and let λ be Lebesgue measure restricted to Ω. For any real number x, let {x} = x - [x] be the fractional part of x. Let N be anatural number and let α e Ω. Thenis kno
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4abd5b9f88d7bcc8881cbb002db2e122
https://doi.org/10.1017/s0017089500032742
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9
On the Discrepancy of the Sequence (α√n )
Autor: J. Schoissengeier, Christoph Baxa
Publikováno v: Journal of the London Mathematical Society. 57:529-544
The first person to consider the discrepancy of sequences of the type (αnσ)n≥1 (where 0 0 and α2∈Q. Both limN→∞¯ N‐1/2ω+(α) and limN→∞¯ N‐1/2ω‐(α) are expressed as maxima of finitely many numbers which involve class numbers
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5027e32bfc9b7b5e357e362822559236
https://doi.org/10.1112/s002461079800622x
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