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On totally reducible binary forms: II.

Abstract : Let $f$ be a binary form of degree $l\geq3$, that is, a product of linear forms with integer coefficients. The principal result of this paper is an asymptotic formula of the shape $n^{2/l}(C(f)+O(n^{-\eta_l+\varepsilon}))$ for the number of positive integers not exceeding $n$ that are representable by $f$; here $C(f)>0$ and $\eta_l>0$.
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https://hal.archives-ouvertes.fr/hal-01109803
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Submitted on : Tuesday, January 27, 2015 - 9:35:15 AM
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  • HAL Id : hal-01109803, version 1

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C Hooley. On totally reducible binary forms: II.. Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2002, 25, pp.22-49. ⟨hal-01109803⟩

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