On systems of diophantine equations with a large number of solutions

• Autorzy: Jerzy Browkin
• Języki publikacji: EN

Abstrakty

EN

We consider systems of equations of the form $x_i + x_j = x_k$ and $x_i · x_j = x_k$, which have finitely many integer solutions, proposed by A. Tyszka. For such a system we construct a slightly larger one with much more solutions than the given one.

Kategorie tematyczne

• 11D45: Counting solutions of Diophantine equations
• 11D72: Equations in many variables
• 11E25: Sums of squares and representations by other particular quadratic forms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 121
• Numer: 2
• Strony: 195-201

Daty

wydano

2010

Twórcy

autor

Jerzy Browkin

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland

Identyfikatory

DOI

10.4064/cm121-2-3