Divisor weighted sums
Zapiski Nauchnykh Seminarov POMI, Proceedings on number theory, Tome 322 (2005), pp. 212-219

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Estimates for sums of divisor functions are required in many arguments of analytic number theory. Linnik was among the first to show how to handle such questions. We provide bounds which are particularly suitable for sparse sequences.
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     author = {J. B. Friedlander and H. Iwaniec},
     title = {Divisor weighted sums},
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J. B. Friedlander; H. Iwaniec. Divisor weighted sums. Zapiski Nauchnykh Seminarov POMI, Proceedings on number theory, Tome 322 (2005), pp. 212-219. http://geodesic.mathdoc.fr/item/ZNSL_2005_322_a13/