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arxiv: 1811.08246 · v1 · pith:RAA2OEJ3new · submitted 2018-11-20 · 🧮 math.NT

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

classification 🧮 math.NT
keywords hypothesisriemanngenusself-dualthreeweightconditionenumerator
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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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