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A Sieve on Analytic Functions

Published online by Cambridge University Press:  20 November 2018

Keith Ramsay
Keith Ramsay*
Affiliation:
University of British Columbia, Vancouver, British Columbia, V6Y 1Z2
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Abstract

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A sieve lemma is found, applicable to certain families of analytic functions on the unit disk, analogous to a large sieve lemma of P. X. Gallagher for sets of integers.

Keywords

11N3530D35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 39 , Issue 1 , 01 March 1996 , pp. 115 - 116
Copyright
Copyright © Canadian Mathematical Society 1995

References

1. Ahlfors, Lars, Complex Analysis, McGraw-Hill, 1962.Google Scholar
2. Gallagher, P. X., A Larger Sieve, Acta Arith. 18(1971), 77–81.Google Scholar
3. Hooley, C., Applications of Sieve Methods to the Theory of Numbers, Cambridge University Press, 1976.Google Scholar
4. Lang, S. and Cherry, W., Topics in Nevanlinna Theory, Lecture Notes in Math. 1433, Springer-Verlag, Berlin, 1990.Google Scholar