Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The octic periodic polynomial


Author: Ronald J. Evans
Journal: Proc. Amer. Math. Soc. 87 (1983), 389-393
MSC: Primary 10G05
MathSciNet review: 684624
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The coefficients and the discriminant of the octic period polynomial $ {\psi _8}(z)$ are computed, where, for a prime $ p = 8f + 1$, $ {\psi _8}(z)$ denotes the minimal polynomial over $ {\mathbf{Q}}$ of the period $ (1/8)\sum\nolimits_{n = 1}^{p - 1} {\exp (2\pi i{n^8}/p)} $. Also, the finite set of prime octic nonresidues $ (\mod p)$ which divide integers represented by $ {\psi _8}(z)$ is characterized.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 10G05

Retrieve articles in all journals with MSC: 10G05


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0684624-2
PII: S 0002-9939(1983)0684624-2
Keywords: Octic period polynomial
Article copyright: © Copyright 1983 American Mathematical Society