## Abstract

Let s ≥ 3 be a fixed positive integer and let a _{1} ; ⋯ ; a _{s} ϵ Z be arbitrary. We show that, on average over k, the density of numbers represented by the degree k diagonal form a _{1} x ^{k} _{1} + · · · + a _{s} x ^{k} _{s} decays rapidly with respect to k.

Original language | English (US) |
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Pages (from-to) | 542-550 |

Number of pages | 9 |

Journal | Mathematika |

Volume | 64 |

Issue number | 2 |

DOIs | |

State | Published - 2018 |

## All Science Journal Classification (ASJC) codes

- Mathematics(all)