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¦
On the number of subsequences with given sum
β Scribed by Weidong Gao
- Book ID
- 108316269
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 367 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0012-365X
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## 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.