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@article{MZM_2015_97_1_a11, author = {A. A. Sedunova}, title = {Mean {Values} of {Some} {Multiplicative} {Functions}}, journal = {Matemati\v{c}eskie zametki}, pages = {115--128}, publisher = {mathdoc}, volume = {97}, number = {1}, year = {2015}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_1_a11/} }
A. A. Sedunova. Mean Values of Some Multiplicative Functions. Matematičeskie zametki, Tome 97 (2015) no. 1, pp. 115-128. http://geodesic.mathdoc.fr/item/MZM_2015_97_1_a11/
[1] S. Ramanujan, “Some formulae in the analythic theory of numbers”, Mess. Math., 45 (1916), 81–84
[2] B. M. Wilson, “Proofs of some formulae enunciated by Ramanujan”, Proc. London Math. Soc. (2), 21 (1922), 235–255 | MR | Zbl
[3] A. E. Mukanova, “Asimptoticheskaya formula dlya srednego znacheniya funktsii V. I. Arnolda”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 2008, no. 2, 51–53 | MR
[4] P. T. Bateman, P. Erdős, C. Pomerance, E. G. Straus, “The arithmetic mean of the divisors of an integer”, Analytic Number Theory, Lecture Notes in Math., 899, Springer, New York, 1981, 197–220 | DOI | MR | Zbl
[5] S. M. Voronin, A. A. Karatsuba, Dzeta-funktsiya Rimana, Fizmatlit, M., 1994 | MR | Zbl
[6] M. N. Huxley, “Exponential sums and the Riemann Zeta Function V”, Proc. London Math. Soc. (3), 90 (2005), 1–41 | DOI | MR | Zbl
[7] E. Titchmarsh, Teoriya funktsii, Nauka, M., 1980 | MR | Zbl
[8] E. K. Titchmarsh, Teoriya dzeta-funktsii Rimana, IL., M., 1953 | MR | Zbl
[9] M. N. Huxley, “On the difference between consecutive primes”, Invent. Math., 15:2 (1972), 164–170 | DOI | MR | Zbl
[10] K. Ramachandra, “On the number of Goldbach numbers in small intervals”, J. Indian Math. Soc. (N.S.), 37 (1973), 157–170 | MR