On totally reducible binary forms: II.
Hooley, C
HAL, hal-01109803 / Harvested from HAL
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 $\eta_l>0$.
Publié le : 2002-07-04
Classification:  asymptotic formula,  rational similarity of matrices,  sets of automorphics,  totally reducible binary forms,  [MATH]Mathematics [math]
@article{hal-01109803,
     author = {Hooley, C},
     title = {On totally reducible binary forms: II.},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01109803}
}
Hooley, C. On totally reducible binary forms: II.. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-01109803/