Zeta Functions of a Class of Artin–Schreier Curves with Many Automorphisms

Irene Bouw, Wei Ho, Beth Malmskog, Renate Scheidler, Padmavathi Srinivasan, Christelle Vincent

Research output: Chapter in Book/Report/Conference proceedingChapter

8 Scopus citations


This paper describes a class of Artin–Schreier curves, generalizing results of Van der Geer and Van der Vlugt to odd characteristic. The automorphism group of these curves contains a large extraspecial group as a subgroup. Precise knowledge of this subgroup makes it possible to compute the zeta function of the curves in this class over the field of definition of all automorphisms in the subgroup.

Original languageEnglish (US)
Title of host publicationAssociation for Women in Mathematics Series
Number of pages38
StatePublished - 2016
Externally publishedYes

Publication series

NameAssociation for Women in Mathematics Series
ISSN (Print)2364-5733
ISSN (Electronic)2364-5741

All Science Journal Classification (ASJC) codes

  • Gender Studies
  • General Mathematics


  • Artin-Schreier curves
  • Extraspecial groups
  • Maximal curves
  • Zeta function


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