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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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Asymptotic evaluation of Gauss polynomials
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by Patrick X. Gallagher, L. Thomas Ramsey and Benjamin B. Wells PDF
Proc. Amer. Math. Soc. 86 (1982), 15-18 Request permission

Abstract:

An asymptotic evaluation is given for the polynomials $G(\alpha ) = \sum \nolimits _{j = 1}^n {e({j^2}/n)e(j\alpha )}$ for $4|n$.
References
  • J. S. Byrnes, On polynomials with coefficients of modulus one, Bull. London Math. Soc. 9 (1977), no. 2, 171–176. MR 486435, DOI 10.1112/blms/9.2.171
    • P. G. Lejeune Dirichlet, Vorlesungen über Zahlentheorie, F. Vieweg Braunschweig, 1894. J.-P. Kahane, Sur les polynomes $\Sigma \exp (i{\theta _m}){Z^m}$ (preprint).
  • J. E. Littlewood, On the mean values of certain trigonometric polynomials, J. London Math. Soc. 36 (1961), 307–334. MR 141934, DOI 10.1112/jlms/s1-36.1.307
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 86 (1982), 15-18
  • MSC: Primary 10G10
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0663856-2
  • MathSciNet review: 663856