Large sieve inequalities with general polynomial moduli

Halupczok K.,

Abstract

© 2015 2015. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oup.com. We prove a large sieve inequality with moduli of general polynomial form. The version with moduli being the product of ℓ many kth powers has an application to counting ℓ-tuples of consecutive integers with high index of composition, a problem related to the abc-conjecture.