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math.NT2021
Central values of zeta functions of non-Galois cubic fields
Arul Shankar, Anders Södergren, Nicolas Templier
The Dedekind zeta functions of infinitely many non-Galois cubic fields have negative central values.
math.NT2021
Omega results for cubic field counts via lower-order terms in the one-level density
Peter J. Cho, Daniel Fiorilli, Yoonbok Lee +1
In this paper we obtain a precise formula for the -level density of -functions attached to non-Galois cubic Dedekind zeta functions. We find a secondary term which is unique…