On the Zeta Functions of an optimal tower of function fields over $\FF_4$
Algebraic Geometry
2011-05-24 v3 Number Theory
Abstract
In this paper we derive a recursion for the zeta function of each function field in the second Garcia-Stichtenoth tower when . We obtain our recursion by applying a theorem of Kani and Rosen that gives information about the decomposition of the Jacobians. This enables us to compute the zeta functions explicitly of the first six function fields.
Keywords
Cite
@article{arxiv.0906.5252,
title = {On the Zeta Functions of an optimal tower of function fields over $\FF_4$},
author = {Alexey Zaytsev and Gary McGuire},
journal= {arXiv preprint arXiv:0906.5252},
year = {2011}
}
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14 pages