On multiplicative decompositions of polynomial sequences, I
Volume 184 / 2018
Acta Arithmetica 184 (2018), 139-150
MSC: 11N25, 11N32, 11D09.
DOI: 10.4064/aa170620-13-12
Published online: 8 February 2018
Abstract
We consider the multiplicative decomposability of the set of values assumed by a quadratic polynomial. First we show that any large set of shifted squares is multiplicatively primitive. Then we sharpen and extend this result in various directions.
