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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Fields generated by linear combinations of roots of unity
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by R. J. Evans and I. M. Isaacs
Trans. Amer. Math. Soc. 229 (1977), 249-258
DOI: https://doi.org/10.1090/S0002-9947-1977-0437509-2

Abstract:

It is shown that a linear combination of roots of unity with rational coefficients generates a large subfield of the field generated by the set of roots of unity involved, except when certain partial sums vanish. Some related results about polygons with all sides and angles rational are also proved.
References
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Bibliographic Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 229 (1977), 249-258
  • MSC: Primary 12F05
  • DOI: https://doi.org/10.1090/S0002-9947-1977-0437509-2
  • MathSciNet review: 0437509