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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A nonzero complex sequence with vanishing power-sums
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by Andrew Lenard PDF
Proc. Amer. Math. Soc. 108 (1990), 951-953 Request permission

Abstract:

In response to a question of W. M. Priestley, we construct a nonvanishing infinite sequence of complex numbers $({a_j})$ such that all the power-sums $\sum \nolimits _j {a_j^r(r = 1,2,3, \ldots } )$ vanish.
References
    W. M. Priestley, private communication.
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 108 (1990), 951-953
  • MSC: Primary 40A99
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1009993-9
  • MathSciNet review: 1009993