Character Sums over Integers with Restricted g-ary Digits

dc.contributor.author	Banks, William David, 1964-	eng
dc.contributor.author	Conflitti, Alessandro	eng
dc.contributor.author	Shparlinski, Igor E.	eng
dc.date.issued	2002	eng
dc.description	This is a preprint of an article published in the Illinois Journal of Mathematics, 46 (2002) no.3, pp.819-836.	eng
dc.description.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.	eng
dc.identifier.uri	http://hdl.handle.net/10355/10628	eng
dc.relation.ispartof	Mathematics publications (MU)	eng
dc.relation.ispartofcommunity	University of Missouri-Columbia. College of Arts and Sciences. Department of Mathematics	eng
dc.source.uri	http://www.math.missouri.edu/~bbanks/papers/index.html	eng
dc.subject.lcsh	Cryptography	eng
dc.title	Character Sums over Integers with Restricted g-ary Digits	eng
dc.type	Preprint	eng

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