Conditional upper bound for the k-th prime ideal with given Artin symbol
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DOI: 10.1016/j.jnt.2019.12.008
Abstract: We prove an explicit upper bound for the k-th prime ideal with fixed Artin symbol, under the assumption of the validity of the Riemann hypothesis for the Dedekind zeta functions. read more here.
Keywords: prime ideal; bound prime; artin symbol; upper bound ... See more keywords
Attached prime ideals of generalized inverse polynomial modules
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DOI: 10.1142/s1793557117500231
Abstract: Let R be a ring, (S,≤) a strictly totally ordered monoid which is also artinian and ω : S →Aut(R) a monoid homomorphism. Given a right R-module M, denote by [MS,≤] [[RS,≤,ω]] the generalized inverse… read more here.
Keywords: generalized inverse; module; attached prime; inverse polynomial ... See more keywords