### 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.

Original language | English (US) |
---|---|

Pages (from-to) | 385-392 |

Number of pages | 8 |

Journal | Proceedings of the Edinburgh Mathematical Society |

Volume | 53 |

Issue number | 2 |

DOIs | |

State | Published - Jun 1 2010 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

## Fingerprint Dive into the research topics of 'Square-free values of quadratic polynomials'. Together they form a unique fingerprint.

## Cite this

Friedlander, J. B., & Iwaniec, H. (2010). Square-free values of quadratic polynomials.

*Proceedings of the Edinburgh Mathematical Society*,*53*(2), 385-392. https://doi.org/10.1017/S0013091508000989