9 citations · 23 across the 38 of their papers we have counts for
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On certain diophantine equations of diagonal type
Andrew Bremner, Maciej Ulas
In this note we consider Diophantine equations of the form \begin{equation*} a(x^p-y^q) = b(z^r-w^s), \quad \mbox{where}\quad \frac{1}{p}+\frac{1}{q}+\frac{1}{r}+\frac{1}{s}=1, \en…
Some observations concerning reducibility of quadrinomials
Andrew Bremner, Maciej Ulas
In a recent paper \cite{Jan}, Jankauskas proved some interesting results concerning the reducibility of quadrinomials of the form , where . He a…
Rational solutions of certain Diophantine equations involving norms
Maciej Ulas
In this note we present some results concerning the unirationality of the algebraic variety given by the equation \begin{equation*} N_{K/k}(X_{1}+αX_{2}+α^2 X_{3})=f(…
A note on Diophantine systems involving three symmetric polynomials
Maciej Ulas
Let and be -th elementary symmetric polynomial. In this note we prove that there are infin…
On some Diophantine systems involving symmetric polynomials
Maciej Ulas
Let be the -th elementary symmetric polynomial. In this note we generalize and…