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dc.contributor.authorBanks, William David, 1964-
dc.contributor.authorHeath-Brown, D. R.
dc.contributor.authorShparlinski, Igor E.
dc.descriptionThis is a pre-copy-editing, author-produced PDF of an article accepted for publication in International Mathematics Research Notices. The definitive publisher-authenticated version William D. Banks, Roger Heath-Brown and Igor E. Shparlinski, On the average value of divisor sums in arithmetic progressions, Int Math Res Notices 2005 (1): 1-25, is available online at: http://imrn.oxfordjournals.org/content/2005/1/1.abstract. doi: 10.1155/IMRN.2005.1. © 2005 Hindawi Publishing Corporation.en_US
dc.description.abstractWe consider very short sums of the divisor function in arithmetic progressions prime to a fixed modulus and show that "on average" these sums are close to the expected value. We also give applications of our result to sums of the divisor function twisted with characters (both additive and multiplicative) taken on the values of various functions, such as rational and exponential functions; in particular, we obtain upper bounds for such twisted sums.en_US
dc.relation.ispartofMathematics publications (MU)en
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. College of Arts and Sciences. Department of Mathematics
dc.source.urihttp://imrn.oxfordjournals.org/content/2005/1/1.abstract http://www.math.missouri.edu/~bbanks/papers/index.htmlen_US
dc.subject.lcshNumber theoryen_US
dc.subject.lcshExponential sumsen_US
dc.titleOn the average value of divisor sums in arithmetic progressionsen_US

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