Linear Combinations of Sets of Consecutive Integers.

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)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1972
Accession Number
AD0742749

Entities

People

  • David A. Klarner
  • Richard Rado

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Behavior And Behavior Mechanisms
  • Behavioral Disciplines And Activities
  • Behavioral Sciences
  • Cooperation
  • Group Dynamics
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Regression Analysis.