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A Note on the Large Sieve

โœ Scribed by Montgomery, H. L.


Book ID
120098969
Publisher
Oxford University Press
Year
1968
Tongue
English
Weight
136 KB
Volume
s1-43
Category
Article
ISSN
0024-6107

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Let 0 [ a < b [ 2p and let D= def {e ih : h ยฅ [a, b]}. We show that for generalized (non-negative) polynomials P of degree r and p > 0, we have where a 1 , a 2 , ..., a m ยฅ D, c is an absolute constant (and, thus, it is independent of a, b, p, m, r, P, {a j }) and y is an explicitly determined cons