Question

An effcient method of solving a Diophantine equation with 3 variables $Ax+By+Cz=D$?

score 1.4k · Answer 1 · 2014-11-21 16:24:27

1.4k

Views

An effcient method of solving a Diophantine equation with 3 variables $Ax+By+Cz=D$?

Published on 21 Nov 2014 - 16:24

score 3.9k · Answer 2 · 2014-11-21 20:26:59

3.9k

Views

$Ax+By+Cz=D \text { has a solution iff } \gcd(\gcd(A,B),C)\mid D$

Published on 21 Nov 2014 - 20:26

score 972 · Answer 3 · 2014-11-22 02:01:03

972

Views

Does this system of simultaneous Pell-like equations have any non-trivial positive integer solutions?

Published on 22 Nov 2014 - 2:01

score 379 · Answer 4 · 2026-03-30 12:47:52

379

Views

Number of ways to express a binary number in a certain way

Published on 30 Mar 2026 - 12:47

score 177 · Answer 5 · 2014-11-23 03:07:41

177

Views

Solve $x^4 - 2x^3 + x = y^4 + 3y^2 + y \wedge (x,y) \in \mathbb{Z}^2$

Published on 23 Nov 2014 - 3:07

score 237 · Answer 6 · 2014-11-24 14:03:58

237

Views

How to show there are infinite solution to a given Pell's equation?

Published on 24 Nov 2014 - 14:03

score 46 · Answer 7 · 2014-11-24 18:27:01

46

Views

how many positive integer solutions to the following equation?

Published on 24 Nov 2014 - 18:27

score 723 · Answer 8 · 2026-03-27 14:55:16

723

Views

Sinha's Theorem for Equal Sums of Like Powers $x_1^7+x_2^7+x_3^7+\dots$

Published on 27 Mar 2026 - 14:55

score 187 · Answer 9 · 2026-03-27 14:52:41

187

Views

Theorem for Equal Sums of Like Powers $x_1^8+x_2^8+x_3^8+\dots$

Published on 27 Mar 2026 - 14:52

score 63 · Answer 10 · 2014-11-25 09:50:58

63

Views

Two equivalent equation

Published on 25 Nov 2014 - 9:50

score 502 · Answer 11 · 2014-11-25 12:10:45

502

Views

Eisenstein integers and applications to Diophantine equations

Published on 25 Nov 2014 - 12:10

score 198 · Answer 12 · 2014-11-26 00:22:19

Let $ a$ be a positive integer. Show that $\text{gcd}(a,a-1) = 1$. use the result of par t $ a)$ to solve the Diophantine equation $ a+b=ab$

score 1k · Answer 13 · 2014-11-27 07:02:29

1k

Views

Find all solutions in positive integers of the diophantine equation $w^2+x^2+y^2=z^2$

Published on 27 Nov 2014 - 7:02

score 340 · Answer 14 · 2026-03-30 01:33:16

340

Views

Number theory: $x^y + 1 = y^x$

Published on 30 Mar 2026 - 1:33

score 40 · Answer 15 · 2014-11-28 15:26:32

40

Views

Equality of Integer Powers

Published on 28 Nov 2014 - 15:26

List Question

An effcient method of solving a Diophantine equation with 3 variables $Ax+By+Cz=D$?

$Ax+By+Cz=D \text { has a solution iff } \gcd(\gcd(A,B),C)\mid D$

Does this system of simultaneous Pell-like equations have any non-trivial positive integer solutions?

Number of ways to express a binary number in a certain way

Solve $x^4 - 2x^3 + x = y^4 + 3y^2 + y \wedge (x,y) \in \mathbb{Z}^2$

How to show there are infinite solution to a given Pell's equation?

how many positive integer solutions to the following equation?

Sinha's Theorem for Equal Sums of Like Powers $x_1^7+x_2^7+x_3^7+\dots$

Theorem for Equal Sums of Like Powers $x_1^8+x_2^8+x_3^8+\dots$

Two equivalent equation

Eisenstein integers and applications to Diophantine equations

Let $ a$ be a positive integer. Show that $\text{gcd}(a,a-1) = 1$. use the result of par t $ a)$ to solve the Diophantine equation $ a+b=ab$

Find all solutions in positive integers of the diophantine equation $w^2+x^2+y^2=z^2$

Number theory: $x^y + 1 = y^x$

Equality of Integer Powers

Trending Questions

Popular # Hahtags

Popular Questions