Congruences and Exponential Sums with the Euler Function

dc.contributor.author	Banks, William David, 1964-	eng
dc.contributor.author	Shparlinski, Igor E.	eng
dc.date.issued	2004	eng
dc.description	This is a preprint of a book chapter published in High Primes and Misdemeanours: Lectures in Honour of the 60th Birthday of Hugh Cowie Williams, Fields Institute Communications, AMS (2004). © American Mathematical Society.	eng
dc.description.abstract	We give upper bounds for the number of solutions to congruences with the Euler function φ(n) and with the Carmichael function λ(n). We also give nontrivial bounds for certain exponential sums involving φ(n). Analogous results can also be obtained for the sum of divisors function and similar arithmetic functions.	eng
dc.identifier.uri	http://hdl.handle.net/10355/10640	eng
dc.language	English	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.rights	OpenAccess.	eng
dc.rights.license	This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
dc.source.uri	http://www.math.missouri.edu/~bbanks/papers/index.html	eng
dc.subject.lcsh	Number theory	eng
dc.title	Congruences and Exponential Sums with the Euler Function	eng
dc.type	Preprint	eng

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