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On the Uniform Distribution of Inverses modulo n

โœ Scribed by Jozsef Beck; Mizan R. Khan

Book ID
110390255
Publisher
Springer Netherlands
Year
2002
Tongue
English
Weight
233 KB
Volume
44
Category
Article
ISSN
0031-5303

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๐Ÿ“œ SIMILAR VOLUMES

s(N) - Uniform Distribution Modulo 1
s(N) - Uniform Distribution Modulo 1
โœ M. Drmota; R. Winkler ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 365 KB

In this paper we study the notion of \(s(N)\)-uniform distribution of sequences modulo 1 which sharpens resp. quantifies the notion of complete uniform distribution. A trivial necessary condition for the existence of \(s(N)\)-u.d. sequences is \(s(N)=o(N)\). On the other hand \(s(N)=o(\sqrt{N / \log

The Sum-of-Digits-Function and Uniform D
The Sum-of-Digits-Function and Uniform Distribution Modulo 1
โœ Michael Drmota; Gerhard Larcher ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 210 KB

The aim of this paper is to provide detailed estimates for the discrepancy of the sequences ([: } s q (n)]) ([x] denotes the fractional part of x) and results concerning the uniform distribution and the discrepancy of the sequences ([: 1 } s q 1 (n)], ..., [: d } s q d (n)]), where :, : 1 , ..., : d

On the Distribution of Inverses Modulon
On the Distribution of Inverses Modulon
โœ Zhang Wenpeng ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 332 KB

Let n>2 be an integer, and for each integer 0<a<n with (a, n)=1, define aร„ by the congruence aaร„ #1 (mod n) and 0<aร„ <n. The main purpose of this paper is to study the distribution behaviour of |a&aร„ |, and prove that for any fixed positive number 0<$ 1, where ,(n) is the Euler function, and \*[ }