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The zeros of trigonometrical polynomials

Published online by Cambridge University Press:  26 February 2010

H. Davenport
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Extract

Let a−N,…, aN be any complex numbers and let

If y1,y2,…,yM are any real numbers such that

one form of the large sieve inequality (see [1], Chapter 2 and the Appendix) asserts that

where yM+1 ≡ y1 (mod 1).

Type
Research Article
Information
Mathematika , Volume 19 , Issue 1 , June 1972 , pp. 88 - 90
Copyright
Copyright © University College London 1972

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References

1.Montgomery, H. L., Topics in Multiplicative Number Theory, Lecture Notes in Mathematics No. 227 (Springer, 1971).CrossRefGoogle Scholar