Non-Wieferich primes in number fields and <Emphasis Type="Italic">abc</Emphasis>-conjecture |
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| Authors: | Srinivas Kotyada Subramani Muthukrishnan |
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| Institution: | 1.Institute of Mathematical Sciences,Homi Bhabha National Institute,Taramani, Chennai,India;2.Chennai Mathematical Institute, H1,Siruseri, Kelambakkam,India |
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| Abstract: | Let K/Q be an algebraic number field of class number one and let O K be its ring of integers. We show that there are infinitely many non-Wieferich primes with respect to certain units in O K under the assumption of the abc-conjecture for number fields. |
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