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On variants of the larger sieve
Authors:Ernest S Croot III  Christian Elsholtz
Institution:(1) School of Mathematics, Georgia Institute of Technology, 125 Skiles, Atlanta, GA, 30332, U.S.A.;(2) Department of Mathematics, Royal Holloway University of London, Egham, Surrey, TW20 0EX, UK
Abstract:Gallagher's larger sieve is a powerful tool, when dealing with sequences of integers that avoid many residue classes. We present and discuss various variants of Gallagher's larger sieve. This revised version was published online in June 2006 with corrections to the Cover Date.
Keywords:large sieve method  Gallagher's larger sieve
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