Computing Zeta Functions of Superelliptic Curves in Larger Characteristic |
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Authors: | Moritz Minzlaff |
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Institution: | 1.Institut für Mathematik Sekr. MA 8-1,Technische Universit?t Berlin,Berlin,Germany |
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Abstract: | Following Gaudry and Gürel who extended Kedlaya’s algorithm to superelliptic curves, we introduce Harvey’s optimisation for
large characteristic p to the superelliptic case. As result, we state the most general algorithm to compute zeta functions that runs soft linear
in p
1/2. We demonstrate its effectiveness using a Magma implementation. |
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Keywords: | |
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