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Trigonometric sums over primes I

Published online by Cambridge University Press:  26 February 2010

Glyn Harman
Glyn Harman
Affiliation:
Royal Holloway College, Egham, Surrey TW20 OEX.
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Extract

We write e(x) for e2πix and let ‖x‖ denote the distance of x from the nearest integer. The notation A ≪ B will mean |A| ≤ C|B| where C is a positive constant depending at most on an arbitrary positive number ε, and on an integer k. The letter p always denotes a prime number. The main results of the present paper are as follows.

Type
Research Article
Information
Mathematika , Volume 28 , Issue 2 , December 1981 , pp. 249 - 254
Copyright
Copyright © University College London 1981

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References

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