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Hermite’s Constant for Function Fields

Published online by Cambridge University Press:  20 November 2018

Chris Hurlburt
Affiliation:
Center for Communications Research, 4320 Westerra Court, San Diego, CA, 92121 USA email: hurlburt@ccrwest.org
Jeffrey Lin Thunder
Affiliation:
Dept. of Mathematics, Northern Illinois University, DeKalb, IL 60115 USA email: jthunder@math.niu.edu
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Abstract

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We formulate an analog of Hermite's constant for function fields over a finite field and state a conjectural value for this analog. We prove our conjecture in many cases, and prove slightly weaker results in all other cases.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2012