A set A [1, ..., N] is of the type B 2 if all sums a+b, with a b, a, b # A, are distinct. It is well known that the largest such set is of size asymptotic to N 1Γ2 . For a B 2 set A of this size we show that, under mild assumptions on the size of the modulus m and on the difference N 1Γ2 &| A | (the
On the Construction of Sets of Integers with Equal Power Sums
β Scribed by M. Jacroux
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 216 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
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