Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Point counting on Picard curves in large characteristic
HTML articles powered by AMS MathViewer

by Mark Bauer, Edlyn Teske and Annegret Weng PDF
Math. Comp. 74 (2005), 1983-2005 Request permission


We present an algorithm for computing the cardinality of the Jacobian of a random Picard curve over a finite field. If the underlying field is a prime field $\mathbb {F}_p$, the algorithm has complexity $O(\sqrt {p})$.
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC (2000): 14H45, 11Y16
  • Retrieve articles in all journals with MSC (2000): 14H45, 11Y16
Additional Information
  • Mark Bauer
  • Affiliation: University of Calgary, Department of Mathematics and Statistics, 2500 University Dr. NW, Calgary, Alberta, Canada T2N 1N4
  • Email:
  • Edlyn Teske
  • Affiliation: University of Waterloo, Department of Combinatorics and Optimization, Waterloo, Ontario, Canada N2L 3G1
  • Email:
  • Annegret Weng
  • Affiliation: Johannes Gutenberg-Universität, Fachbereich Mathematik, Staudingerweg 9, 55128 Mainz, Germany
  • Email:
  • Received by editor(s): December 22, 2003
  • Received by editor(s) in revised form: October 10, 2004
  • Published electronically: March 31, 2005
  • © Copyright 2005 American Mathematical Society
  • Journal: Math. Comp. 74 (2005), 1983-2005
  • MSC (2000): Primary 14H45; Secondary 11Y16
  • DOI:
  • MathSciNet review: 2164107