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dc.contributor.authorBanks, William David, 1964-
dc.contributor.authorShparlinski, Igor E.
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.en_US
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.en_US
dc.relation.ispartofMathematics publications (MU)en
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. College of Arts and Sciences. Department of Mathematics
dc.subject.lcshNumber theoryen_US
dc.titleCongruences and Exponential Sums with the Euler Functionen_US

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