Character sums over integers with restricted g-ary digits

William D. Banks*, Alessandro Conflitti, Igor E. Shparlinski

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)

Abstract

We establish upper bounds for multiplicative character sums and exponential sums over sets of integers that are described by various properties of their digits in a fixed base g ≥ 2. Our main tools are the Weil and Vinogradov bounds for character sums and exponential sums. Our results can be applied to study the distribution of quadratic non-residues and primitive roots among these sets of integers.

Original languageEnglish
Pages (from-to)819-836
Number of pages18
JournalIllinois Journal of Mathematics
Volume46
Issue number3
Publication statusPublished - Sep 2002

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