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

• Autorzy: S. Gurak
• Języki publikacji: EN

Kategorie tematyczne

• 11T22: Cyclotomy
• 11T24: Other character sums and Gauss sums

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 92
• Numer: 2
• Strony: 153-167

Daty

wydano

2000

otrzymano

1998-08-04

poprawiono

1999-05-31

Twórcy

autor

S. Gurak

• Department of Mathematics and Computer Science, University of San Diego, San Diego, CA 92110-2492, U.S.A.

Bibliografia

• [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.
• [3] S. Gurak, Minimal polynomials for Gauss circulants and cyclotomic units, Pacific J. Math. 102 (1982), 347-353.
• [4] S. Gurak, Factors of period polynomials for finite fields, II, in: Contemp. Math. 168, Amer. Math. Soc., 1994, 127-138.
• [5] S. Gurak, On the last factor of the period polynomial for finite fields, Acta Arith. 71 (1995), 391-400.
• [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.
• [7] S. Gurak, On the middle factor of the period polynomial for finite fields, CMR Proceedings and Lecture Notes 19 (1999), 121-131.
• [8] G. Myerson, Period polynomials and Gauss sums for finite fields, Acta Arith. 39 (1981), 251-264.