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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Arithmetric structure and lacunary Fourier series
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by George Benke PDF
Proc. Amer. Math. Soc. 34 (1972), 128-132 Request permission


We prove a theorem concerning the arithmetic structure of $\Lambda (p)$ sets. This generalizes a result of Rudin and yields a new characterization of Sidon sets for certain Abelian groups.
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  • Jean-Pierre Kahane, Some random series of functions, D. C. Heath and Company Raytheon Education Company, Lexington, Mass., 1968. MR 0254888
  • M. P. Malliavin-Brameret and P. Malliavin, Caractérisation arithmétique d’une classe d’ensembles de Helson, C. R. Acad. Sci. Paris 264 (1967), 192-193.
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  • Walter Rudin, Trigonometric series with gaps, J. Math. Mech. 9 (1960), 203–227. MR 0116177, DOI 10.1512/iumj.1960.9.59013
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 34 (1972), 128-132
  • MSC: Primary 43A45
  • DOI:
  • MathSciNet review: 0301456