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L2 Majorant Principles

  • Hugh L. Montgomery
Part of the Bolyai Society Mathematical Studies book series (BSMS, volume 25)

Abstract

In this short historical note, we discuss an important majorant principle introduced by Erdős & Fuchs [1].

Keywords

London Math Fourier Expansion Arithmetic Function Michigan Math Complex Exponential 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    P. Erdős & W. H. J. Fuchs, On a problem of additive number theory, J. London Math. Soc. 31 (1956), 67–73.CrossRefMathSciNetGoogle Scholar
  2. [2]
    P. Erdős & P. Turán, On a problem of Sidon in additive number theory, and some related problems, J. London Math. Soc. 16 (1941), 212–215; addendum, ibid. 19 (1944), 208.CrossRefMathSciNetGoogle Scholar
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    G. Halász, Über die Mittelwerte multiplicativer zahlentheoretischer Funktionen, Acta Math. Acad. Sci. Hungar. 19 (1968), 365–403.CrossRefzbMATHMathSciNetGoogle Scholar
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    G. H. Hardy, On the expression of a number as a sum of two squares, Quart. J. Math. 46 (1915), 263–283.zbMATHGoogle Scholar
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    E. K. Hayashi, Omega theorems for the iterated additive convolution of a non-negative arithmetic function, Ph.D. Thesis, University of Illinois at Urbana-Champaign, 1973.Google Scholar
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    B. F. Logan, An interference problem for exponentials, Michigan Math. J. 35 (1988), 369–393.CrossRefzbMATHMathSciNetGoogle Scholar
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    H. L. Montgomery & R. C. Vaughan, On the Erdős-Fuchs theorems, A Tribute to Paul Erdős. Cambridge University Press, 1990.Google Scholar
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    Norbert Wiener, Collected Works with Commentaries, Vol. II, MIT Press, 1979.Google Scholar
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    N. Wiener & A. Winter, On a local L 2-variant of Ikeharaś theorem, Rev. Math. Cuyana 2 (1956), 53–59.MathSciNetGoogle Scholar

Copyright information

© János Bolyai Mathematical Society and Springer-Verlag 2013

Authors and Affiliations

  • Hugh L. Montgomery
    • 1
  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA

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