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

2018/11/20 by Koji Chinen, Chinen, Koji, Yuki Imamura +1
Computer Science · Mathematics · #12D10 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT) #Primary 11T71 #Secondary 13A50

paper · pdf · doi:10.48550/arxiv.1811.08246

openalex publication_date 2018/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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