Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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Arithmetic Derivatives And \Emph{Abc}
In this talk I'll sketch a proof that certain arithmetic derivatives are small if and only if the \emph{abc} conjecture holds. An unconditional non-trivial bound for the size of these arithmetic derivatives can be deduced from Siegel's lemma, and any power-saving improvement on this bound yields a version of the \emph{abc} conjecture.
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