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Maciej Ulas's user avatar
Maciej Ulas's user avatar
Maciej Ulas
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Good references to study Baker's theory
I think that the best idea is to learn some generalities and then start to read papers using this methodology. There are so many papers but a good idea is the start with the paper f Baker and Davenport (academic.oup.com/qjmath/article/20/1/129/1539395).
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Good references to study Baker's theory
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Solutions to $(a^c-b^c)+m(r^c-s^c)=0$ in integers
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 Autobiographer
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 Necromancer
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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?
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 Revival
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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?
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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?
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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?
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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?
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 Enthusiast
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 Yearling
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The number of invertible 4×4 circulant matrices over the ring Z
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The number of invertible 4×4 circulant matrices over the ring Z
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Solutions to a system of Diophantine equations
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Integer solutions of $ z^3 y^2 = x(x-1)(x+1)$
Of course, I was thinking about three consecutive powerfull numbers but write consecutive powerfull numbers. Sorry for this.
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Integer solutions of $ z^3 y^2 = x(x-1)(x+1)$
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 Revival
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Integer solutions of $ z^3 y^2 = x(x-1)(x+1)$
Yes, simple zeros over $\mathbb{C}$ and, again, yes, this conjecture implies that there are only finitely many consecutive powerfull numbers.