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RESULTANTS OF CYCLOTOMIC POLYNOMIALS OVER Fq[T] AND APPLICATIONS

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대한수학회 (The Korean Mathematical Society)|2013.01|대한수학회논문집 (Communications of the KMS)|제28권 제1호|pp. 25-38

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참고문헌

키워드

cyclotomic polynomialsresultantsp-resultantsCarlitz modules
주제분류수학

초록

In this paper we compute the resultants of the Carlitz cyclotomic polynomials and then we address two applications to the setting of the Carlitz module.

Abstract

In this paper we compute the resultants of the Carlitz cyclotomic polynomials and then we address two applications to the setting of the Carlitz module.

참고문헌 (15)

  1. T. M. Apostol, "Resultants of cyclotomic polynomials", Proc. Amer. Math. Soc., 24, pp.457~462 (1970)
  2. T. M. Apostol, "Euler’s -function and separable Gauss sums", Proc. Amer. Math. Soc., 24, pp.482~485 (1970)
  3. S. Bae, "The arithmetic of Carlitz polynomials", J. Korean Math. Soc., 35(2), pp.341~360 (1998)
  4. S. Bae, "On the ring of integers of cyclotomic function fields", Bull. Korean Math. Soc., 29(1), pp.153~163 (1992)
  5. L. Carlitz, "A polynomial related to the cyclotomic polynomial", Rend. Sem. Mat. Univ., 47, pp.57~63 (1972)
  6. F. E. Diederichsen, "Uber die Ausreduktion ganzzahliger Gruppendarstellungen bei arithmetischer ¨A quivalenz", Abh. Math. Sem. Hansischen Univ., 13, pp.357~412 (1940)
  7. D. Goss, "Basic Structures of Function Field Arithmetic" (1996), Springer-Verlag
  8. I. Kaplansky, "Commutative Rings" (1970)
  9. S. Lang, "Algebra" (1993), Addison-Wesley
  10. E. Lehmer, "A numerical function applied to cyclotomy", Bull. Amer. Math. Soc., 36(4), pp.291~298 (1930)
  11. S. Louboutin, "Resultants of cyclotomic polynomials", Publ. Math. Debrecen, 50(1), pp.75~77 (1997)
  12. H. L¨uneburg, "Resultanten von Kreisteilungspolynomen", Arch. Math., 42(2), pp.139~144 (1984)
  13. O. Ore, "On a special class of polynomials", Trans. Amer. Math. Soc., 35(3), pp.559~584 (1933)
  14. M. Rosen, "Number Theory in Function Fields" (2002), Springer-Verlag
  15. G. D. Villa Salvador, "Topics in the Theory of Algebraic Function Fields, Mathematics: Theory & Applications" (2006), Birkhauser Boston, Inc.

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