The Sidon constant of a finite abelian group

Graham, Colin C.

doi:10.1090/S0002-9939-1978-0458059-X

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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The Sidon constant of a finite abelian group
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by Colin C. Graham PDF

Proc. Amer. Math. Soc. 68 (1978), 83-84 Request permission

Abstract:

It is shown that the Helson constant of a finite abelian group, G, is exactly ${({\text {Card}}\;G)^{1/2}}$.

References

Jean-Pierre Kahane, Séries de Fourier absolument convergentes, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 50, Springer-Verlag, Berlin-New York, 1970 (French). MR 0275043
Jorge M. López and Kenneth A. Ross, Sidon sets, Lecture Notes in Pure and Applied Mathematics, Vol. 13, Marcel Dekker, Inc., New York, 1975. MR 0440298
D. J. Newman, An $L^{1}$ extremal problem for polynomials, Proc. Amer. Math. Soc. 16 (1965), 1287–1290. MR 185119, DOI 10.1090/S0002-9939-1965-0185119-4