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Sums of arithmetic functions over values of binary forms

数论 2015-06-26 v1

摘要

Given a suitable arithmetic function h, we investigate the average order of h as it ranges over the values taken by an integral binary form F. A general upper bound is obtained for this quantity, in which the dependence upon the coefficients of F is made completely explicit.

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引用

@article{arxiv.math/0604119,
  title  = {Sums of arithmetic functions over values of binary forms},
  author = {R. de la Breteche and T. D. Browning},
  journal= {arXiv preprint arXiv:math/0604119},
  year   = {2015}
}

备注

12 pages