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Hermite’s Constant for Function Fields

Published online by Cambridge University Press:  20 November 2018

Chris Hurlburt  and
Jeffrey Lin Thunder
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.

Keywords

11G5011G35
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 64 , Issue 2 , 16 April 2012 , pp. 301 - 317
Copyright
Copyright © Canadian Mathematical Society 2012

References

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