LIBROS DEL AUTOR: yuri f bilu

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  • The Problem of Catalan
    Maurice Mignotte / Yann Bugeaud / Yuri F. Bilu
    In 1842 the Belgian mathematician Eugène Charles Catalan asked whether 8 and 9 are the only consecutive pure powers of non-zero integers. 160 years after, the question was answered affirmatively by the Swiss mathematician of Romanian origin Preda Mihăilescu. In other words, 32 - 23 = 1 is the only solution of the equation xp - yq = 1 in integers x, y, p, q with xy ≠ 0 and p, q ...
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