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Complex number ABC Conjecture

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#combinatorics #complex-numbers #abc-conjecture
112
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How can the abc conjecture put constraints on the prime factors of $c$?

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#number-theory #diophantine-equations #prime-factorization #abc-conjecture
235
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Square-free values of polynomials of degree 3

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#number-theory #abc-conjecture
931
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ABC conjecture Proof

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#number-theory #abc-conjecture
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Why does Mochizuki insist on “forgetting the previous history of an object”?

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#teichmueller-theory #abc-conjecture
243
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ABC conjecture exceptions

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#number-theory #abc-conjecture
55
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given $p,q,r \ge 3$ study the diophantine equation $x^py^q=z^r-1$ using the $abc$-conjecture

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#number-theory #proof-verification #diophantine-equations #radicals #abc-conjecture
209
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ABC conjecture and an inequality

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#number-theory #abc-conjecture
399
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The $abc$ conjecture as a special case of Vojta's height inequality

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#algebraic-geometry #arithmetic-geometry #abc-conjecture
130
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Can we prove that for ABC-triples the product $A*B*C$ is unique?

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#number-theory #abc-conjecture
175
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What is the implication of a particular choice of $k(\epsilon)$ for the ABC Conjecture.

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#number-theory #diophantine-equations #abc-conjecture
240
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Known attempts to prove the $abc$-conjecture

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#reference-request #abc-conjecture
212
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A generalization of the abc-conjecture?

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#number-theory #metric-spaces #computational-mathematics #conjectures #abc-conjecture
166
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Is the constant in the abc-conjecture dependent on $\epsilon$ only?

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#number-theory #diophantine-equations #abc-conjecture
58
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Can we prove that $\operatorname{rad}(ABC)^2-C$ is not a square when $A+B=C$ are coprime integers?

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#number-theory #diophantine-equations #abc-conjecture

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