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manuscripta mathematica

, Volume 59, Issue 3, pp 375–389 | Cite as

Character coordinates and annihilators of cyclotomic numbers

  • Kurt Girstmair
Article

Abstract

The object of this paper is a representation theoretical approach to the problem of determining allQ-linear relations between conjugate numbers in a cyclotomic field. We apply our method to relations between the numbers cot(m)(πk/n), tan(m)(πk/n), cosec(m)(2πk/n), sec(m)(2πk/n), respectively, where m is≥0 and (k,n)=1. Thereby we complete previous work of Chowla, Hasse, Jager-Lenstra, and others.

Keywords

Number Theory Theoretical Approach Algebraic Geometry Topological Group Cyclotomic Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Kurt Girstmair
    • 1
  1. 1.Institut für MathematikUniversität InnsbruckInnsbruckAustria

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