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Mathematical Notes

, Volume 68, Issue 5–6, pp 713–720 | Cite as

On Lower Bounds for the L1-Norm of Exponential Sums

  • M. Z. Garaev
Article

Abstract

In the paper a method for finding lower bounds of the L1-norm of some exponential sums is described.

Diophantine equations exponential sum L1-norm 

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References

  1. 1.
    S. V. Bochkarev, “A method for estimating the L 1-norm of an exponential sum,” Trudy Mat. Inst. Steklov [Proc. Steklov Inst. Math.], 218, 74-76 (1997).Google Scholar
  2. 2.
    A. A. Karatsuba, “An estimate of the L 1-norm of an exponential sum,” Mat. Zametki [Math. Notes], 64, No. 3, 465-468 (1998).Google Scholar
  3. 3.
    S. V. Konyagin, “An estimate of the L 1-norm of an exponential sum,” in: The Theory of Approximations of Functions and Operators. Abstracts of Papers of the International Conference Dedicated to Stechkin's 80th Anniversary [in Russian] Ekaterinburg (2000), pp. 88-89.Google Scholar

Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • M. Z. Garaev
    • 1
  1. 1.Institute of Mathematics and MechanicsAcademy of Sciences of AzerbaidzanBaku

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