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The Problem of Catalan

Yuri F. Bilu, Yann Bugeaud, Maurice Mignotte




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 | #2759362 in Books |  2014-10-10 | Original language:English | PDF # 1 |  9.21 x.63 x6.14l,.0 | File type: PDF | 245 pages

||From the Back Cover||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

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 xpyq = 1 in integers x, y, p, q with xy ≠ 0 and
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