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15
Math.TechQA.Club
2026-03-26 10:48:47
62
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Let $a,b,c \in \mathbb{Z} \backslash \{ 0\}$. Prove there exists $x$, $y$ such that $ax+by=c$ if and only if $(a,b)|c$
Published on
26 Mar 2026 - 10:48
#elementary-number-theory
#linear-diophantine-equations
658
Views
Partition a list of positive and negative numbers into sets
Published on
26 Mar 2026 - 3:16
#number-theory
#elementary-set-theory
#algorithms
#set-partition
#linear-diophantine-equations
419
Views
How to show that $2x + 3y + 5z$ generate all integers greater than 2
Published on
26 Mar 2026 - 15:45
#elementary-number-theory
#linear-diophantine-equations
30
Views
Verification of Disproof of Linear Diophantine Equations
Published on
25 Mar 2026 - 22:48
#elementary-number-theory
#linear-diophantine-equations
245
Views
Diophantine equation
Published on
26 Mar 2026 - 12:45
#diophantine-equations
#linear-diophantine-equations
87
Views
Positive diophantine solutions
Published on
25 Mar 2026 - 17:11
#number-theory
#elementary-number-theory
#diophantine-equations
#linear-diophantine-equations
2.6k
Views
Diophantine equation with negative value
Published on
26 Mar 2026 - 15:12
#elementary-number-theory
#diophantine-equations
#linear-diophantine-equations
64
Views
Almost diophantine equations?
Published on
25 Mar 2026 - 21:16
#tiling
#diophantine-approximation
#linear-diophantine-equations
289
Views
Is there a shortcut for solving $ax-by=c$ when a,b,c are relatively prime?
Published on
26 Mar 2026 - 0:00
#elementary-number-theory
#diophantine-equations
#linear-diophantine-equations
46
Views
Number of positive integer solutions of diophantine inequality.
Published on
25 Mar 2026 - 16:14
#elementary-number-theory
#diophantine-equations
#linear-diophantine-equations
147
Views
Shortest palindromic Egyptian representation for reciprocal integers
Published on
02 May 2026 - 1:08
#integer-programming
#mixed-integer-programming
#linear-diophantine-equations
#palindrome
#egyptian-fractions
80
Views
$7x+5y=12$, so why does its solution will be of the format $(1+5n,1-7n)$
Published on
09 Apr 2026 - 15:26
#linear-diophantine-equations
#coprime
122
Views
I am having difficulty understanding how to solve the diophantine equation $18x + 28y = 10$
Published on
25 Mar 2026 - 16:13
#elementary-number-theory
#linear-diophantine-equations
94
Views
Given a homogeneous system of Linear Equations mod $n$, if there are more equations than variables, can we tell if there exists a nontrivial solution?
Published on
25 Mar 2026 - 16:13
#linear-algebra
#number-theory
#modular-arithmetic
#systems-of-equations
#linear-diophantine-equations
32
Views
Is this transformation of linear Diophanthine Equations always possible
Published on
25 Mar 2026 - 16:13
#linear-algebra
#diophantine-equations
#linear-diophantine-equations
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