# On the factors ${\Phi}^{(j\delta /m)}$ of the period polynomial for finite fields

Acta Arithmetica (2000)

- Volume: 92, Issue: 2, page 153-167
- ISSN: 0065-1036

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top## How to cite

topS. Gurak. "On the factors $Φ^{(jδ/m)}$ of the period polynomial for finite fields." Acta Arithmetica 92.2 (2000): 153-167. <http://eudml.org/doc/207377>.

@article{S2000,

author = {S. Gurak},

journal = {Acta Arithmetica},

keywords = {Gauss periods over finite fields; computation of coefficients; period polynomial},

language = {eng},

number = {2},

pages = {153-167},

title = {On the factors $Φ^\{(jδ/m)\}$ of the period polynomial for finite fields},

url = {http://eudml.org/doc/207377},

volume = {92},

year = {2000},

}

TY - JOUR

AU - S. Gurak

TI - On the factors $Φ^{(jδ/m)}$ of the period polynomial for finite fields

JO - Acta Arithmetica

PY - 2000

VL - 92

IS - 2

SP - 153

EP - 167

LA - eng

KW - Gauss periods over finite fields; computation of coefficients; period polynomial

UR - http://eudml.org/doc/207377

ER -

## References

top- [1] Z. Borevich and I. Shafarevich, Number Theory, Academic Press, New York, 1966.
- [2] S. Gupta and D. Zagier, On the coefficients of the minimal polynomial of Gaussian periods, Math. Comp. 60 (1993), 385-398. Zbl0819.11062
- [3] S. Gurak, Minimal polynomials for Gauss circulants and cyclotomic units, Pacific J. Math. 102 (1982), 347-353. Zbl0501.12003
- [4] S. Gurak, Factors of period polynomials for finite fields, II, in: Contemp. Math. 168, Amer. Math. Soc., 1994, 127-138. Zbl0819.11061
- [5] S. Gurak, On the last factor of the period polynomial for finite fields, Acta Arith. 71 (1995), 391-400. Zbl0819.11063
- [6] S. Gurak, On the minimal polynomials for certain Gauss periods over finite fields, in: Finite Fields and their Applications, S. Cohen and H. Niederreiter (eds.), Cambridge Univ. Press, 1996, 85-96. Zbl0874.11080
- [7] S. Gurak, On the middle factor of the period polynomial for finite fields, CMR Proceedings and Lecture Notes 19 (1999), 121-131. Zbl0969.11039
- [8] G. Myerson, Period polynomials and Gauss sums for finite fields, Acta Arith. 39 (1981), 251-264. Zbl0393.12028

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