# On Chebyshev polynomials and maximal curves

Arnaldo Garcia; Henning Stichtenoth

Acta Arithmetica (1999)

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

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top## How to cite

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

@article{ArnaldoGarcia1999,

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},

}

TY - JOUR

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 -

## References

top- [G-S-X] A. Garcia, H. Stichtenoth and C. P. Xing, On subfields of the Hermitian function field, Compositio Math., to appear. Zbl0990.11040
- [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
- [L-N] R. Lidl and H. Niederreiter, Finite Fields, Encyclopedia Math. Appl. 20, Addison-Wesley, Reading, MA, 1983.
- [R] T. J. Rivlin, Chebyshev Polynomials, Wiley, New York, 1990.
- [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
- [S] H. Stichtenoth, Algebraic Function Fields and Codes, Springer, Berlin, 1993. Zbl0816.14011

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