On Chebyshev polynomials and maximal curves

Arnaldo Garcia; Henning Stichtenoth

Acta Arithmetica (1999)

  • Volume: 90, Issue: 4, page 301-311
  • ISSN: 0065-1036

How to cite


Arnaldo Garcia, and Henning Stichtenoth. "On Chebyshev polynomials and maximal curves." Acta Arithmetica 90.4 (1999): 301-311. <http://eudml.org/doc/207330>.

author = {Arnaldo Garcia, Henning Stichtenoth},
journal = {Acta Arithmetica},
keywords = {Hermitian function field; Chebyshev polynomial; finite field},
language = {eng},
number = {4},
pages = {301-311},
title = {On Chebyshev polynomials and maximal curves},
url = {http://eudml.org/doc/207330},
volume = {90},
year = {1999},

AU - Arnaldo Garcia
AU - Henning Stichtenoth
TI - On Chebyshev polynomials and maximal curves
JO - Acta Arithmetica
PY - 1999
VL - 90
IS - 4
SP - 301
EP - 311
LA - eng
KW - Hermitian function field; Chebyshev polynomial; finite field
UR - http://eudml.org/doc/207330
ER -


  1. [G-S-X] A. Garcia, H. Stichtenoth and C. P. Xing, On subfields of the Hermitian function field, Compositio Math., to appear. Zbl0990.11040
  2. [I] Y. Ihara, Some remarks on the number of rational points of algebraic curves over finite fields, J. Fac. Sci. Tokyo 28 (1981), 721-724. Zbl0509.14019
  3. [L-N] R. Lidl and H. Niederreiter, Finite Fields, Encyclopedia Math. Appl. 20, Addison-Wesley, Reading, MA, 1983. 
  4. [R] T. J. Rivlin, Chebyshev Polynomials, Wiley, New York, 1990. 
  5. [R-S] H. G. Rück and H. Stichtenoth, A characterization of Hermitian function fields over finite fields, J. Reine Angew. Math. 457 (1994), 185-188. Zbl0802.11053
  6. [S] H. Stichtenoth, Algebraic Function Fields and Codes, Springer, Berlin, 1993. Zbl0816.14011

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