The abc conjecture and non-Wieferich primes in arithmetic progressions
نویسندگان
چکیده
Article history: Received 18 June 2012 Revised 12 September 2012 Accepted 6 October 2012 Available online xxxx Communicated by Greg Martin MSC: 11A41 11B25
منابع مشابه
RELAXATIONS OF THE ABC CONJECTURE USING INTEGER k ’TH ROOTS
Weakened forms of the ABC conjecture are defined in terms of the upper k’th root functions. These weakened forms, with quite small explicit values of their parameters, are shown to imply the asymptotic Fermat, Beale, general Fermat, and Catalan conjectures, that there exist an infinite number of non–Wieferich primes, that there exist only finitely many consecutive powerful numbers, Hall’s conje...
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