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An elementary proof of some character sum identities of Apostol
Published online by Cambridge University Press: 18 May 2009
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Let х denote a primitive character modulo k. Using two different representations for Dirichlet L-functions, Apostol [1] recently derived a representation for
involving the sums
where m is a positive integer. Furthermore, if х(r) = (r|p)the residue class character modulo the odd prime p, he derived a representation for Mm(х) involving the sums
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- Copyright © Glasgow Mathematical Journal Trust 1973
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