By Kunyu Guo
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In 1842 the Belgian mathematician Eugène Charles Catalan requested even if eight and nine are the single consecutive natural powers of non-zero integers. one hundred sixty years after, the query used to be responded affirmatively through 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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Analytic Hilbert Modules (Chapman & Hall/CRC Research Notes in Mathematics Series) by Kunyu Guo