On density, translates, and pairwise sums of integers
نویسندگان
چکیده
منابع مشابه
On sums and products of integers
Let 1 0 there is an n , so that for every n > n :, there are more than n'-' distinct integers of the form (1). We are very far from being able to prove this, but we prove the following weaker Theorem 1. Denote bt /(n) the largest integer ...
متن کاملOn Differences and Sums of Integers , I
imply the solvability of the equation a s-av = b' ; the notion of sum intersector set is defined similarly. The authors prove two general theorems saying that if a set {b, , b 2 BLOCKINbi} is well distributed simultaneously among and within all residue classes of small moduli then it must be both difference and sum intersector set. They apply these theorems to investigate the solvability of the...
متن کاملOn Sums and Products of Integers
Erdös and Szemerédi proved that if A is a set of k positive integers, then there must be at least ck1+δ integers that can be written as the sum or product of two elements of A, where c is a constant and δ > 0. Nathanson proved that the result holds for δ = 1 31 . In this paper it is proved that the result holds for δ = 1 5 and c = 1 20 .
متن کاملSums of Consecutive Integers
Wai Yan Pong ([email protected]) received his B.Sc. from the Chinese University of Hong Kong and his M.Sc. and Ph.D. from the University of Illinois at Chicago. He was a Doob Research Assistant Professor at the University of Illinois at Urbana-Champaign for three years. He then moved to California and is now teaching at California State University, Dominguez Hills. His research interests are in m...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1982
ISSN: 0097-3165
DOI: 10.1016/0097-3165(82)90003-6