An abundance of invariant polynomials satisfying the Riemann hypothesis

DOI10.1016/j.disc.2007.12.022zbMath1156.94012arXiv0704.3903OpenAlexW2117974689MaRDI QIDQ998384

Koji Chinen

Publication date: 28 January 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.3903

zbMATH Keywords

Riemann hypothesisperfect codezeta function for codesinvariant polynomial ring

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (5)

Self-inversive Hilbert space operator polynomials with spectrum on the unit circle ⋮ On a Riemann hypothesis analogue for selfdual weight enumerators of genus less than 3 ⋮ Extremal invariant polynomials not satisfying the Riemann hypothesis ⋮ Divisible formal weight enumerators and extremal polynomials not satisfying the Riemann hypothesis ⋮ On some families of certain divisible polynomials and their zeta functions

Uses Software

• Code Tables

Cites Work

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• Zeta functions for formal weight enumerators and the extremal property
• Real polynomials with all roots on the unit circle and abelian varieties over finite fields
• Extremal weight enumerators and ultraspherical polynomials.
• Weight distributions of geometric Goppa codes
• On the notion of Jacobi polynomials for codes
• From weight enumerators to zeta functions

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