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math.NT2016
Non-Wieferich primes in number fields and ABC conjecture
Srinivas Kotyada, Subramani Muthukrishnan
Let be an algebraic number field of class number one and be its ring of integers. We show that there are infinitely many non-Wieferich primes with re…
math.NT2016
A note on the gaps between zeros of Epstein's zeta-functions on the critical line
Stephan Baier, Srinivas Kotyada, Usha Keshav Sangale
It is proved that Epstein's zeta-function , related to a positive definite integral binary quadratic form, has a zero with $ T \leq γ\leq T + T^{{3/7} +\vareps…