# On the last factor of the period polynomial for finite fields

Acta Arithmetica (1995)

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

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topS. 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

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

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