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New estimates of Weyl sums and the remainder term in the law of distribution of the fractional part of a polynomial

Published online by Cambridge University Press:  19 September 2008

L. D. Pustyl'Nikov
L. D. Pustyl'Nikov
Affiliation:
All-Union Research Institute on Electroenergetics, Kitaiskii pr. 7, Moscow 103074, USSR
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Abstract

By using ergodic theory new estimates of Weyl sums and new estimates of the remainder term in the law of distribution of fractional parts of the polynomial are obtained.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 11 , Issue 3 , September 1991 , pp. 515 - 534
Copyright
Copyright © Cambridge University Press 1991

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References

REFERENCES

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