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June 2020 On Some Families of Certain Divisible Polynomials and Their Zeta Functions
Koji CHINEN
Tokyo J. Math. 43(1): 1-23 (June 2020). DOI: 10.3836/tjm/1502179317

Abstract

The formal weight enumerators were first introduced by M. Ozeki, and it was shown in the author's previous paper that there are various families of similar divisible polynomials. Among them, three families are dealt with in this paper and their properties are investigated: they are analogues of the Mallows--Sloane bound, the extremal property, the Riemann hypothesis analogue, etc. In the course of the investigation, some generalizations of the theory of invariant differential operators developed by I. Duursma and T. Okuda are deduced.

Citation

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Koji CHINEN. "On Some Families of Certain Divisible Polynomials and Their Zeta Functions." Tokyo J. Math. 43 (1) 1 - 23, June 2020. https://doi.org/10.3836/tjm/1502179317

Information

Published: June 2020
First available in Project Euclid: 18 June 2020

zbMATH: 07227179
MathSciNet: MR4121787
Digital Object Identifier: 10.3836/tjm/1502179317

Subjects:
Primary: 11T71
Secondary: 12D10, 13A50

Rights: Copyright © 2020 Publication Committee for the Tokyo Journal of Mathematics

JOURNAL ARTICLE
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Vol.43 • No. 1 • June 2020
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