5,539 research outputs found
Integral points on a certain family of elliptic curves
The Thue-Siegel method is used to obtain an upper bound for the number of
primitive integral solutions to a family of quartic Thue's inequalities. This
will provide an upper bound for the number of integer points on a family of
elliptic curves with j-invariant equal to 1728
Cubic Thue inequalities with positive discriminant
We will give an explicit upper bound for the number of solutions to cubic
inequality |F(x, y)| \leq h, where F(x, y) is a cubic binary form with integer
coefficients and positive discriminant D. Our upper bound is independent of h,
provided that h is smaller than D^{1/4}
The Method Of Thue-Siegel For Binary Quartic Forms
We will use Thue-Siegel method, based on Pad\'e approximation via
hypergeometric functions, to give upper bounds for the number of integral
solutions to the equation as well as the inequalities , for a certain family of irreducible quartic binary forms.Comment: A version of this paper is to appear in Acta. Arit
Team performance in the operating theatre
Imperial Users onl
- …