Hermite’s Constant for Function Fields
Canadian journal of mathematics, Tome 64 (2012) no. 2, pp. 301-317
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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.
Hurlburt, Chris; Thunder, Jeffrey Lin. Hermite’s Constant for Function Fields. Canadian journal of mathematics, Tome 64 (2012) no. 2, pp. 301-317. doi: 10.4153/CJM-2011-046-6
@article{10_4153_CJM_2011_046_6,
author = {Hurlburt, Chris and Thunder, Jeffrey Lin},
title = {Hermite{\textquoteright}s {Constant} for {Function} {Fields}},
journal = {Canadian journal of mathematics},
pages = {301--317},
year = {2012},
volume = {64},
number = {2},
doi = {10.4153/CJM-2011-046-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-046-6/}
}
TY - JOUR AU - Hurlburt, Chris AU - Thunder, Jeffrey Lin TI - Hermite’s Constant for Function Fields JO - Canadian journal of mathematics PY - 2012 SP - 301 EP - 317 VL - 64 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-046-6/ DO - 10.4153/CJM-2011-046-6 ID - 10_4153_CJM_2011_046_6 ER -
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