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Values of zeta functions and class number 1 criterion for the simplest cubic fields
Published online by Cambridge University Press: 22 January 2016
Abstract
Let K be the simplest cubic field defined by the irreducible polynomial
where m is a nonnegative rational integer such that m2 + 3m + 9 is square-free. We estimate the value of the Dedekind zeta function ζK(s) at s = −1 and get class number 1 criterion for the simplest cubic fields.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 2000
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