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dc.contributor.authorBanks, William David, 1964-eng
dc.contributor.authorConflitti, Alessandroeng
dc.contributor.authorFriedlander, J. B. (John B.)eng
dc.contributor.authorShparlinski, Igor E.eng
dc.description© Foundation Compositio Mathematica 2004. Cambridge Journals. doi: 10.1112/S0010437X03000022.eng
dc.description.abstractWe give estimates for exponential sums of the form Σn≤N Λ(n) exp(2πiagn/m), where m is a positive integer, a and g are integers relatively prime to m, and Λ is the von Mangoldt function. In particular, our results yield bounds for exponential sums of the form Σ p≤N exp(2πiaMp/m), where Mp is the Mersenne number; Mp = 2p −1 for any prime p.We also estimate some closely related sums, including Σn≤N μ(n) exp(2πiagn/m) and Σn≤N μ2(n) exp(2πiagn/m), where μ is the Möbius function.eng
dc.identifier.citationWilliam D. Banks, Alessandro Conflitti, John B. Friedlander and Igor E. Shparlinski.Compositio Mathematica, vol. 140, issue 1 (2004), pp.15-30.eng
dc.relation.ispartofMathematics publications (MU)eng
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. College of Arts and Sciences. Department of Mathematicseng
dc.subjectnumber theoryeng
dc.subject.lcshNumber theoryeng
dc.titleExponential Sums over Mersenne Numberseng

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