On the factors Φ ( j δ / m ) of the period polynomial for finite fields

S. Gurak

Acta Arithmetica (2000)

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

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S. 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

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  1. [1] Z. Borevich and I. Shafarevich, Number Theory, Academic Press, New York, 1966. 
  2. [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. [3] S. Gurak, Minimal polynomials for Gauss circulants and cyclotomic units, Pacific J. Math. 102 (1982), 347-353. Zbl0501.12003
  4. [4] S. Gurak, Factors of period polynomials for finite fields, II, in: Contemp. Math. 168, Amer. Math. Soc., 1994, 127-138. Zbl0819.11061
  5. [5] S. Gurak, On the last factor of the period polynomial for finite fields, Acta Arith. 71 (1995), 391-400. Zbl0819.11063
  6. [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. [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. [8] G. Myerson, Period polynomials and Gauss sums for finite fields, Acta Arith. 39 (1981), 251-264. Zbl0393.12028

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