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arXiv · 1610.00488

Non-Wieferich primes in number fields and ABC conjecture

Srinivas Kotyada·Subramani Muthukrishnan
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Abstract

Let $K/\mathbb{Q}$ be an algebraic number field of class number one and $\mathcal{O}_K$ be its ring of integers. We show that there are infinitely many non-Wieferich primes with respect to certain units in $\mathcal{O}_K$ under the assumption of the \textit{abc} conjecture for number fields.

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Srinivas Kotyada, Subramani Muthukrishnan. 2016-10-03. Non-Wieferich primes in number fields and ABC conjecture. https://arxiv.org/abs/1610.00488

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