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dc.contributor.authorBanks, William David, 1964-eng
dc.contributor.authorShparlinski, Igor E.eng
dc.descriptionThis 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.abstractWe 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.relation.ispartofMathematics publications (MU)eng
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. College of Arts and Sciences. Department of Mathematicseng
dc.rights.licenseThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
dc.subject.lcshNumber theoryeng
dc.titleCongruences and Exponential Sums with the Euler Functioneng

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