Type: Article
Publication Date: 2010-04-30
Citations: 8
DOI: https://doi.org/10.1017/s0013091508000989
Abstract We consider the quadratic polynomial m 2 + D and study the asymptotic formula for the number of integers m , 1≤ m ≤ M , for which the values of the polynomial are square-free. We are interested in particular in the question of how small we can take m in relation to D and still have the asymptotic hold.