arXiv · math/0604119
Sums of arithmetic functions over values of binary forms
Abstract
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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R. de la Breteche, T. D. Browning. 2006-04-05. Sums of arithmetic functions over values of binary forms. https://doi.org/10.4064/aa125-3-6
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