Almost primes represented by binary forms

作者:Marasingha Gihan*
来源:Journal of the London Mathematical Society-Second Series, 2010, 82: 295-316.
DOI:10.1112/jlms/jdq026

摘要

We demonstrate that, under suitable local conditions on a finite collection F(1),..., F(g) of binary irreducible forms with integer coefficients, the product F(1)(x)center dot...center dot F(g)(x) will have at most r prime factors for infinitely many x. We give explicit upper bounds for r that depend only on g and on the total degree of the product polynomial.

  • 出版日期2010-10