A new bound for the large sieve inequality with power moduli

Abstract

We give a new bound for the large sieve inequality with power moduli q^k that is uniform in k. The proof uses a new theorem due to T. Wooley from his work on efficient congruencing.

9 pages; accepted by IJNT

Cited by in corpus (4)

• A Lower Bound for the Large Sieve with Square Moduli
• On the distribution of fractions with power denominator
• Large sieve inequalities with power moduli and Waring's problem
• The large sieve with power moduli for $\mathbb{Z}[i]$