For a set of integers A Z and k51 the k-deck of A is the function d A;k defined on sets S of k integers by Our main result is that for k53; a set for which the k-deck only takes finite values is determined up to translation by its k-deck and one finite non-zero value of its Γ°k Γ 1Γdeck. This genera
Oscillations of Sets of Integers
β Scribed by Stevo Todorcevic
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 325 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0196-8858
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper deals with the problem of finding the maximal density, +(M), of sets of integers in which differences given by a set M do not occur. The problem is solved for the case where the elements of M are in arithmetic progression. Besides finding lower bounds for most members of the general three
In this paper we give a new method for constructing sets of integers having equal th power sums. Using the method, some new results are derived concerning the Tarry-Escott Problem. i' 1995 Academic Press. Inc.
In this paper, we investigate representations of sets of integers as subset sums of other sets of minimal size, achieving results on the nature of the representing set as well as providing several reformulations of the problem. We apply one of these reformulations to prove a conjecture and extend a