User Maciej Ulas

10 votes

Accepted

What are the rational solutions of $y^2 = 4x^n + z^{n-1}$?

answered Aug 28, 2020 at 9:38

9 votes

Can the equation $n=x^6-y^6+z^3-w^3$ with $x,y,z,w\in\mathbb Q_{\ge0}$ be solved via an identity?

answered Sep 7, 2022 at 7:55

7 votes

Solutions to nonhomogeneous quadratic equation mod $N$

answered Sep 23, 2020 at 5:20

6 votes

On the equation $a^6+b^6+c^6=d^2$

answered Aug 22, 2020 at 20:45

6 votes

Solutions to some cubic Diophantine equations

answered May 7, 2023 at 8:13

5 votes

Pythagorean triples and quadratic residues modulo primes

answered May 17, 2023 at 16:10

3 votes

Criterion for existence of integral points on an elliptic curve

answered Sep 29, 2020 at 16:55

3 votes

Reference request: Diophantine equations

answered Aug 29, 2020 at 9:42

3 votes

Integer solutions of $ z^3 y^2 = x(x-1)(x+1)$

answered May 15, 2022 at 6:26

2 votes

Solutions to a system of Diophantine equations

answered Jun 17, 2022 at 19:22

2 votes

Accepted

Continued fractions, Chebyshev and non-homogenous approximation

answered Oct 4, 2020 at 7:12

2 votes

A conjectural identity involving infinite series

answered May 1, 2022 at 9:40

2 votes

Solutions to the Diophantine equation $a^xy+x=c$

answered May 20, 2023 at 8:17

2 votes

A rational distance problem with (possibly) multiple solutions

answered Dec 22, 2023 at 18:38

2 votes

Solutions to $(a^c-b^c)+m(r^c-s^c)=0$ in integers

answered Sep 25, 2022 at 8:48

2 votes

Good references to study Baker's theory

answered Nov 3, 2022 at 20:33

1 vote

The number of invertible 4×4 circulant matrices over the ring Z

answered Aug 18, 2022 at 6:50

Stack Exchange Network

17 Answers

What are the rational solutions of $y^2 = 4x^n + z^{n-1}$?

Can the equation $n=x^6-y^6+z^3-w^3$ with $x,y,z,w\in\mathbb Q_{\ge0}$ be solved via an identity?

Solutions to nonhomogeneous quadratic equation mod $N$

On the equation $a^6+b^6+c^6=d^2$

Solutions to some cubic Diophantine equations

Pythagorean triples and quadratic residues modulo primes

Criterion for existence of integral points on an elliptic curve

Reference request: Diophantine equations

Integer solutions of $ z^3 y^2 = x(x-1)(x+1)$

Solutions to a system of Diophantine equations

Continued fractions, Chebyshev and non-homogenous approximation

A conjectural identity involving infinite series

Solutions to the Diophantine equation $a^xy+x=c$

A rational distance problem with (possibly) multiple solutions

Solutions to $(a^c-b^c)+m(r^c-s^c)=0$ in integers

Good references to study Baker's theory

The number of invertible 4×4 circulant matrices over the ring Z