The weighted large sieve through Parseval
classification
🧮 math.NT
keywords
approachlargesieveinequalityparsevalweightedaccessibleapproximate
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We modify the approach to the arithmetical form of the large sieve by relying on the Parseval identity rather than on an approximate Bessel inequality and as a consequence, improve on the weighted large sieve inequality beyond what was heuristically accessible by the earlier approach. We also discuss the optimality of this approach.
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