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On Values of Cyclotomic Polynomials

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International Symposium on Ring Theory

Part of the book series: Trends in Mathematics ((TM))

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Abstract

This short survey article consists of some results appearing in [7]. In Section 1, fundamental properties of cyclotomic polynomials and their applications to important theorems in algebra will be introduced, while in Section 2, a cipher using values of cyclotomic polynomials will be discussed.

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References

  1. E. Artin, The orders of the linear groups, Comm. Pure Appl. Math. 8 (1955), 355–365.

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  7. K. Motose, On values of cyclotomic polynomials, I ~ IV, Math. J. Okayama Univ. I: 35 (1993) 35–40, II: 37 (1995) 27–36, III: 38 (1996) 115–122, IV: Bull. Fac. Sci. Tech. Hirosaki Univ. 1 (1998), 1–7.

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  8. J. H. M. Wedderburn, A theorem on finite algebras, Trans. Amer. Math. Soc. 6 (1905), 349–352.

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Author information

Authors and Affiliations

  1. Department of Mathematical System Science Faculty of Science and Technology, Hirosaki University, Hirosaki, 036, Japan

    K. Motose

Authors
  1. K. Motose
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, 70504-1010, USA

    Gary F. Birkenmeier

  2. Department of Mathematics, Pusan National University, Pusan, 609-735, Korea

    Jae Keol Park

  3. Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea

    Young Soo Park

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© 2001 Springer Science+Business Media New York

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Motose, K. (2001). On Values of Cyclotomic Polynomials. In: Birkenmeier, G.F., Park, J.K., Park, Y.S. (eds) International Symposium on Ring Theory. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0181-6_18

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  • DOI: https://doi.org/10.1007/978-1-4612-0181-6_18

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6650-1

  • Online ISBN: 978-1-4612-0181-6

  • eBook Packages: Springer Book Archive

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