Since 1934 Erdős has introduced various methods to derive arithmetic properties of blocks of consecutive integers. This research culminated in 1975 when Erdős and Selfridge (Ill J Math 19:292–301, 1975) established the old conjecture that the product of two or more consecutive positive integers is never a perfect power. It is very likely that the product of the terms of a finite arithmetic progression of length at least four is never a perfect power. In the present paper it is shown how Erdős’ methods have been extended to obtain results for arithmetic progressions.
CITATION STYLE
Shorey, T. N., & Tijdeman, R. (2013). Some methods of erdős applied to finite arithmetic progressions. In The Mathematics of Paul Erdos I, Second Edition (pp. 269–287). Springer New York. https://doi.org/10.1007/978-1-4614-7258-2_18
Mendeley helps you to discover research relevant for your work.