Author(s)： Katsuhiko Ono

J. Math-for-Ind. 4A (2012) 35-39.

• File： JMI2012A-5.pdf (101KB)

Abstract
In 1999, Iwan Duursma defined the zeta polynomial for coding theory and formulated an analogue of the Riemann hypothesis for coding theory. In this paper, we consider certain self-reciprocal polynomials which generalize some zeta polynomials, and investigate whether the analogue of the Riemann hypothesis holds for this generalization. We show that in some cases the analogue of the Riemann hypothesis holds true, and conjecture that this is always the case.

Keyword(s).　 zeros, zeta polynomials for coding theory