Abstract
Abstract. Let ƛ be a fixed integer exceeding 1 and sn any strictly increasing sequence of positive integers satisfying sn ≤ n15/14+o(1). In this paper we give a version of the large sieve inequality for the sequence ƛsn. In particular, we obtain nontrivial estimates of the associated trigonometric sums “on average” and establish equidistribution properties of the numbers ƛsn, n ≤ p(log p)2+ϵ, modulo p for most primes p.
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