Geodesic
Divisor weighted sums
Zapiski Nauchnykh Seminarov POMI, Proceedings on number theory, Tome 322 (2005), pp. 212-219 Cet article a éte moissonné depuis la source Math-Net.Ru

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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},
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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/

[1] J. B. Friedlander, H. Iwaniec, “Asymptotic sieve for primes”, Ann. Math., 148 (1998), 1041–1065 | DOI | MR | Zbl

[2] J. B. Friedlander, H. Iwaniec, “A polynomial divisor problem” (to appear)

[3] J. B. Friedlander, H. Iwaniec, “The illusory sieve” (to appear) | MR

[4] Y. V. Linnik, The dispersion method in binary additive problems, Amer. Math. Soc., Providence, 1963 | MR | Zbl

[5] D. Wolke, “A new proof of a theorem of van der Corput”, JLMS, 5 (1972), 609–612 | DOI | MR | Zbl