|Autors: Dimitrov, S. I.|
Title: Pairs of square-free values of the type n^2+1, n^2+2
Keywords: square-free number; asymptotic formula; Kloosterman sum
Abstract: We show that there exist infinitely many consecutive square-free numbers of the form n^2+1, n^2+2. We also establish an asymptotic formula for the number of such square-free pairs when $n$ does not exceed given sufficiently large positive number.
Вид: статия в списание, публикация в издание с импакт фактор