
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 k1,m(1),...,m(k) denote nonnegative 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