On the Riemann hypothesis for self-dual weight enumerators of genus three

In this note, we give an equivalent condition for a self-dual weight enumerator of genus three to satisfy the Riemann hypothesis. We also observe the truth and falsehood of the Riemann hypothesis for some families of invariant polynomials.

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Bibliographic Details
Published inarXiv.org
Main Authors Chinen, Koji, Imamura, Yuki
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 20.11.2018
Subjects
Hypotheses
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Summary:In this note, we give an equivalent condition for a self-dual weight enumerator of genus three to satisfy the Riemann hypothesis. We also observe the truth and falsehood of the Riemann hypothesis for some families of invariant polynomials.
ISSN:2331-8422