Can I read Arithmetic Properties of Blocks of Consecutive Integers on EtoBox?

Arithmetic Properties of Blocks of Consecutive Integers by Shorey, Tarlok N.; Tijdeman, Rob is a scholarly article available to read on EtoBox.

What is Arithmetic Properties of Blocks of Consecutive Integers about?

This paper provides a survey of results on the greatest prime factor, the number of distinct prime factors, the greatest squarefree factor and the greatest m-th powerfree part of a block of consecutive integers, both without any assumption and under assumption of the abc-conjecture. Finally we prove that the explicit abc-conjecture implies the Erd\H{o}s-Woods conjecture for each k>2.

Author

Shorey, Tarlok N.; Tijdeman, Rob

Published

2016

Language

EN