Square-free values of quadratic polynomials

J. B. Friedlander, Henryk Iwaniec

Research output: Contribution to journalArticle

3 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)385-392
Number of pages8
JournalProceedings of the Edinburgh Mathematical Society
Issue number2
StatePublished - Jun 1 2010

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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