Let Z. be the cyclic group of order n. For a sequence S of elements in Z~, we use f~(S) to denote the number of subsequences, the sum of whose elements is zero. In this paper, we give a characterization on the sequences S of elements in Zn for whichf~(S) < 2 Isl -" Γ· k -,, under the restriction 1 ~
β¦ LIBER β¦
Estimates of Weyl Sums over Subsequences of Natural Number
β Scribed by Joerg Schmeling
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 603 KB
- Volume
- 183
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
In this paper we introduce the notion of pseudo βergodicity to generalize Pustyl'nikov's estimates of Weyl sums to Weyl sums over subsequence of the natural numbers.
π SIMILAR VOLUMES
On the number of zero sum subsequences
β
Weidong Gao
π
Article
π
1997
π
Elsevier Science
π
English
β 219 KB
Estimates for the number of sums and pro
β
Jean Bourgain; S.V Konyagin
π
Article
π
2003
π
Elsevier Science
π
English
β 93 KB
On Infinite Sum-free Sets of Natural Num
β
Tomasz Εuczak; Tomasz Schoen
π
Article
π
1997
π
Elsevier Science
π
English
β 346 KB
A subset of the natural numbers is k-sum-free if it contains no solutions of the equation x 1 + } } } +x k = y, and strongly k-sum-free when it is l-sum-free for every l=2, ..., k. It is shown that every k-sum-free set with upper density larger than 1Γ(k+1) is a subset of a periodic k-sum-free set a
On Natural Numbers as Sums of Consecutiv
β
Richard Warlimont
π
Article
π
1998
π
Elsevier Science
π
English
β 321 KB
Application of a character sum estimate
β
Frank Gerth III; S.W. Graham
π
Article
π
1984
π
Elsevier Science
π
English
β 344 KB
On the last exit time and the number of
β
Ralph P. Russo
π
Article
π
1988
π
Elsevier Science
π
English
β 282 KB