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On the number of subsequences with given sum

✍ 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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πŸ“œ SIMILAR VOLUMES


On the number of zero sum subsequences
✍ Weidong Gao πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 219 KB

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 ~

On Zero-Sum Subsequences of Restricted S
✍ Weidong Gao πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 228 KB

Let G be a finite abelian group with exponent e, let r(G) be the minimal integer t with the property that any sequence of t elements in G contains an e-term subsequence with sum zero. In this paper we show that if r(C 2 n )=4n&3 and if n ((3m&4)(m&1) m 2 +3)Γ‚4m, then r(C 2 nm )=4nm&3. In particular,

On zero-sum subsequences of restricted s
✍ Rui Chi; Shuyan Ding; Weidong Gao; Alfred Geroldinger; Wolfgang A. Schmid πŸ“‚ Article πŸ“… 2005 πŸ› Akadmiai Kiad 🌐 English βš– 205 KB
Estimates of Weyl Sums over Subsequences
✍ Joerg Schmeling πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 603 KB

## Abstract In this paper we introduce the notion of pseudo ‐ergodicity to generalize Pustyl'nikov's estimates of Weyl sums to Weyl sums over subsequence of the natural numbers.