Number of solutions of cubic Thue inequalities with positive discriminant

• Autorzy: N. Saradha , Divyum Sharma
• Języki publikacji: EN

Abstrakty

EN

Let F(X,Y) be an irreducible binary cubic form with integer coefficients and positive discriminant D. Let k be a positive integer satisfying
$k < ((3D)^{1/4})/2π$.
We give improved upper bounds for the number of primitive solutions of the Thue inequality
$|F(X,Y)| ≤ k$.

Kategorie tematyczne

• 11D25: Cubic and quartic equations
• 11E76: Forms of degree higher than two
• 11D45: Counting solutions of Diophantine equations
• 11D75: Diophantine inequalities

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 171
• Numer: 1
• Strony: 81-95

Daty

wydano

2015

Twórcy

autor

N. Saradha

• School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India

autor

Divyum Sharma

• School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India

Identyfikatory

DOI

10.4064/aa171-1-6