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111
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Solving $\sum_{k=a}^{b-1} k=\sum_{k=b+1}^c k$ for natural numbers $a,b,c$

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#sequences-and-series #diophantine-equations #continued-fractions
79
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A Conway quadratic (form) equation in four variables

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#diophantine-equations #quadratic-forms #positive-definite #integer-lattices
315
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$x^3 + y^3 = p^2$ over the integers

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#prime-numbers #systems-of-equations #diophantine-equations #integers #eisenstein-integers
77
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using eisenstein integers to solve diophantine equations

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#prime-numbers #diophantine-equations #eisenstein-integers
397
Views

Finding Integer Solutions to $x^2-y^2-n=0$

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#discrete-mathematics #derivatives #diophantine-equations #integers
59
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Diophantine overconstrained $\big|a\,f\,(g+d\,h)-b\,h\,(e+c\,f)\big|<m$ with unknowns $a,b,c,d$.

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#diophantine-equations
111
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Solving $x^2 + py^2 = 4z^3$ with a fixed $z$

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#elementary-number-theory #algebraic-number-theory #diophantine-equations #problem-solving #quadratic-forms
102
Views

Factoring an integral.

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#improper-integrals #diophantine-equations #integrating-factor
168
Views

Difficult implications of a detail in an(other) approach to the simultaneous Pell equations $24a^2+1=t^2$ and $48a^2+1=u^2$

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#number-theory #diophantine-equations #pell-type-equations
87
Views

Diophantine equation in two variables involving floor function

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#number-theory #diophantine-equations #ceiling-and-floor-functions
360
Views

Indication of Gaussian integers solutions for $x^2+y^2=z^3$.

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#diophantine-equations #gaussian-integers
319
Views

Higher Order Diophantine Equation

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#number-theory #diophantine-equations #pythagorean-triples
403
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An infinite family of generalized Pell equations

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#elementary-number-theory #diophantine-equations #pell-type-equations
80
Views

Finding specific solution for a Diophantine equation

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#number-theory #diophantine-equations
122
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I need to solve $12x-30y+24z=18$ equation as a diophantine equation where $x,y,z$ is whole number

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#discrete-mathematics #diophantine-equations

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