By Michal Krizek,Florian Luca,Lawrence Somer,A. Solcova
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In 1842 the Belgian mathematician Eugène Charles Catalan requested no matter if eight and nine are the single consecutive natural powers of non-zero integers. a hundred and sixty years after, the query used to be responded affirmatively via the Swiss mathematician of Romanian starting place Preda Mihăilescu. In different phrases, 32 – 23 = 1 is the one answer of the equation xp – yq = 1 in integers x, y, p, q with xy ≠ zero and p, q ≥ 2.
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That includes the basically awarded and expertly-refereed contributions of major researchers within the box of approximation theory, this quantity is a suite of the best contributions on the 3rd foreign convention on utilized arithmetic and Approximation Theory, an overseas convention held at TOBB college of Economics and expertise in Ankara, Turkey, on May 28-31, 2015.
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Extra info for 17 Lectures on Fermat Numbers: From Number Theory to Geometry (CMS Books in Mathematics)
17 Lectures on Fermat Numbers: From Number Theory to Geometry (CMS Books in Mathematics) by Michal Krizek,Florian Luca,Lawrence Somer,A. Solcova