On the last factor of the period polynomial for finite fields

S. Gurak

Acta Arithmetica (1995)

  • Volume: 71, Issue: 4, page 391-400
  • ISSN: 0065-1036

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S. Gurak. "On the last factor of the period polynomial for finite fields." Acta Arithmetica 71.4 (1995): 391-400. <http://eudml.org/doc/206781>.

@article{S1995,
author = {S. Gurak},
journal = {Acta Arithmetica},
keywords = {factors of period polynomials; finite field; period polynomial; last factor; beginning coefficients},
language = {eng},
number = {4},
pages = {391-400},
title = {On the last factor of the period polynomial for finite fields},
url = {http://eudml.org/doc/206781},
volume = {71},
year = {1995},
}

TY - JOUR
AU - S. Gurak
TI - On the last factor of the period polynomial for finite fields
JO - Acta Arithmetica
PY - 1995
VL - 71
IS - 4
SP - 391
EP - 400
LA - eng
KW - factors of period polynomials; finite field; period polynomial; last factor; beginning coefficients
UR - http://eudml.org/doc/206781
ER -

References

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  1. [1] Z. Borevich and I. Shafarevich, Number Theory, Academic Press, New York, 1966. 
  2. [2] G. P. Egorychev, Integral Representations and the Computation of Combinatorical Sums, Transl. Math. Monographs 39, Amer. Math. Soc., Providence, 1984. Zbl0524.05001
  3. [3] S. Gupta and D. Zagier, On the coefficients of the minimal polynomial of Gaussian periods, Math. Comp. 60 (1993), 385-398. Zbl0819.11062
  4. [4] S. Gurak, Minimal polynomials for Gauss circulants, Pacific J. Math. 102 (1982), 347-353. Zbl0501.12003
  5. [5] S. Gurak, Factors of period polynomials for finite fields, I, to appear. Zbl0819.11060
  6. [6] D. H. Lehmer and E. Lehmer, Cyclotomy with short periods, Math. Comp. 41 (1983), 743-758. Zbl0526.12005
  7. [7] G. Myerson, Period polynomials and Gauss sums for finite fields, Acta Arith. 39 (1981), 251-264. Zbl0393.12028

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