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arxiv: math/0604119 · v1 · pith:ZQHSFDT4new · submitted 2006-04-05 · 🧮 math.NT

Sums of arithmetic functions over values of binary forms

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keywords arithmeticbinaryvaluesaverageboundcoefficientscompletelydependence
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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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