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Trigonometric sums over primes II

Published online by Cambridge University Press:  18 May 2009

Glyn Harman
Glyn Harman
Affiliation:
Royal Holloway College, Egham Surrey, Tw20 Oex
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We write e(x) for e2πix, ∥x∥ for the distance of x from the nearest integer and use A ≫ B to mean |A|<c |B|, where c is a positive constant depending at most on k and e. The letter p always denotes a prime number; P2 represents a number with precisely two prime factors. We continue the investigations started in [6] and will make many references to the analysis there. Here we prove the following theorems.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 24 , Issue 1 , January 1983, pp. 23 - 37
Copyright
Copyright © Glasgow Mathematical Journal Trust 1983

References

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