References
A. G. Postnikov, Introduction to Analytic Number Theory (Nauka, Moscow, 1971) [in Russian].
J. Knopfmacher, Abstract Analytic Number Theory (North-Holland, Amsterdam, 1975).
A. A. Karatsuba, Foundations of Analytic Number Theory (URSS, Moscow, 2004) [in Russian].
A. Selberg, Ann. Math. 50, 305 (1949).
G. H. Hardy and S. Ramanujan, Proc. London Math. Soc. Ser. 2 17, 75 (1917).
H. Rademacher, Proc. London Math. Soc. Ser. 2 43, 241 (1937).
P. Erdős and J. Lehner, Duke Math. J. 8, 335 (1941).
G. E. Andrews The Theory of Partitions (Addison-Wesley, Reading, Mass., 1976; Nauka, Moscow, 1982).
L. D. Landau and I. M. Livshits, Theoretical Physics, Vol. 4: Statistical Physics (GITTL, Moscow–Leningrad, 1951) [in Russian].
I. A. Kvasnikov, Thermodynamics and Statistical Physics, Vol. 2: Theory of Equilibrium Systems: Statistical Physics (URSS, Moscow, 2002) [in Russian].
V. L. Chernyshev and A. I. Shafarevich, Phil. Trans. Roy. Soc. A 372 (20130145) (2014).
V. L. Chernyshev and A. A. Tolchennikov, “Asymptotic Estimate for the Number of Gaussian Packets on Three Decorated Graphs,” ar Xiv: 1403.0263 (2014).
A. Katok, Publ. Math., Inst. Hautes Etud. Sci. 51, 137 (1980).
R. Mañé, J. Differential. Geometry 45, 74 (1997).
M. Pollicott, Amer. J. Math. 117 (2), 289 (1995).
G. Meinardus, Math. Z. 59, 388 (1954).
B. L. Granovsky and D. Stark, Asymptotic Enumeration and Logical Limit Laws for Expansive Multisets and Selections, ar Xiv: 0407322 (2004).
V. P. Maslov and V. E. Nazaikinskii, Mat. Zametki 83 (2), 232 (2008) [Math. Notes 83 (1–2), 211 (2008)].
A. M. Vershik, Funktsional. Anal. Prilozhen. 30 (2), 19 (1996) [Functional Anal. Appl. 30 (2), 90 (1996)].
V. E. Nazaikinskii, Math. Notes 91 (5–6), 816 (2012).
B. M. Bredikhin, Mat. Sb. 50 (92) (2), 221 (1960).
V. E. Nazaikinskii, Dokl. Ross. Akad. Nauk 448 (3), 266 (2013) [Dokl. Math. 87 (1), 50 (2013)].
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Original Russian Text © D. S. Minenkov, V. E. Nazaikinskii, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 4, pp. 627–629.
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Minenkov, D.S., Nazaikinskii, V.E. Remark on the inverse abstract prime number theorem. Math Notes 100, 633–635 (2016). https://doi.org/10.1134/S0001434616090352
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DOI: https://doi.org/10.1134/S0001434616090352