Accession Number : AD0742749

Title :   Linear Combinations of Sets of Consecutive Integers.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF COMPUTER SCIENCE

Personal Author(s) : Klarner,David A. ; Rado,Richard

Report Date : MAR 1972

Pagination or Media Count : 13

Abstract : Let k-1,m(1),...,m(k) denote non-negative integers, and suppose the greatest common divisor of m(1),...,m(k) is 1. The authors show that if S(1),...,S(k) are sufficiently long blocks of consecutive integers, then the set m(1)S(1)+...+m(k)S(k) contains a sizeable block of consecutive integers.. (Author)

Descriptors :   (*NUMBER THEORY, EQUATIONS), SET THEORY, PRIME NUMBERS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE