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Hermite's Constant for Function Fields
  Published:2011-08-03
 Printed: Apr 2012
Canadian Journal of Mathematics
  • Chris Hurlburt,
    Center for Communications Research, 4320 Westerra Court, San Diego, CA, 92121 USA
  • Jeffrey Lin Thunder,
    Dept. of Mathematics, Northern Illinois University, DeKalb, IL 60115 USA
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Abstract

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.
MSC Classifications: 11G50 show english descriptions Heights [See also 14G40, 37P30] 11G50 - Heights [See also 14G40, 37P30]
 
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