C Hooley - On totally reducible binary forms: II.

hrj:146 - Hardy-Ramanujan Journal, January 1, 2002, Volume 25 - 2002 - https://doi.org/10.46298/hrj.2002.146
On totally reducible binary forms: II.Article

Authors: C Hooley 1

  • 1 University of Whales

Let f be a binary form of degree l3, that is, a product of linear forms with integer coefficients. The principal result of this paper is an asymptotic formula of the shape n2/l(C(f)+O(nηl+ε)) for the number of positive integers not exceeding n that are representable by f; here C(f)>0 and ηl>0.


Volume: Volume 25 - 2002
Published on: January 1, 2002
Imported on: March 3, 2015
Keywords: totally reducible binary forms,asymptotic formula,rational similarity of matrices,sets of automorphics,[MATH]Mathematics [math]

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