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Recurrence of the integral of a smooth conditionally periodic function

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Abstract

We prove that the integral of a smooth multifrequency conditionally periodic function with zero mean oscillates.

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References

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    N. G. Moshchevitin

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  1. N. G. Moshchevitin
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Translated fromMatematicheskie Zametki, Vol. 63, No. 5, pp. 737–748, May, 1998.

The author wishes to express his deep gratitude to S. V. Konyagin for fruitful discussions, verification of the results, and the correction of some misprints.

This research was supported by the Russian Foundation for Basic Research under grants No. 96-01-00378 and No. 96-15-96072 and by the EFAKOD Foundation.

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Moshchevitin, N.G. Recurrence of the integral of a smooth conditionally periodic function. Math Notes 63, 648–657 (1998). https://doi.org/10.1007/BF02312847

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  • DOI: https://doi.org/10.1007/BF02312847

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