Geodesic
Remark on the Inverse Abstract Prime Number Theorem
Matematičeskie zametki, Tome 100 (2016) no. 4, pp. 627-629.

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: arithmetic semigroup, inverse abstract prime number theorem, entropy, asymptotics. 
@article{MZM_2016_100_4_a14,
     author = {D. S. Minenkov and V. E. Nazaikinskii},
     title = {Remark on the {Inverse} {Abstract} {Prime} {Number} {Theorem}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {627--629},
     publisher = {mathdoc},
     volume = {100},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_100_4_a14/}
}
TY  - JOUR
AU  - D. S. Minenkov
AU  - V. E. Nazaikinskii
TI  - Remark on the Inverse Abstract Prime Number Theorem
JO  - Matematičeskie zametki
PY  - 2016
SP  - 627
EP  - 629
VL  - 100
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2016_100_4_a14/
LA  - ru
ID  - MZM_2016_100_4_a14
ER  - 
%0 Journal Article
%A D. S. Minenkov
%A V. E. Nazaikinskii
%T Remark on the Inverse Abstract Prime Number Theorem
%J Matematičeskie zametki
%D 2016
%P 627-629
%V 100
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2016_100_4_a14/
%G ru
%F MZM_2016_100_4_a14
D. S. Minenkov; V. E. Nazaikinskii. Remark on the Inverse Abstract Prime Number Theorem. Matematičeskie zametki, Tome 100 (2016) no. 4, pp. 627-629. http://geodesic.mathdoc.fr/item/MZM_2016_100_4_a14/

[1] A. G. Postnikov, Vvedenie v analiticheskuyu teoriyu chisel, Nauka, M., 1971 | MR | Zbl

[2] J. Knopfmacher, Abstract Analytic Number Theory, Math. Library, 12, North-Holland, Amsterdam, 1975 | MR

[3] A. A. Karatsuba, Osnovy analiticheskoi teorii chisel, URSS, M., 2004

[4] A. Selberg, Ann. Math., 50 (1949), 305–313 | DOI | MR | Zbl

[5] G. H. Hardy, S. Ramanujan, Proc. London Math. Soc. Ser. 2, 17 (1917), 75–115 | Zbl

[6] H. Rademacher, Proc. London Math. Soc. Ser. 2, 43 (1937), 241–254 | Zbl

[7] P. Erdős, J. Lehner, Duke Math. J., 8 (1941), 335–345 | DOI | MR

[8] G. Endryus, Teoriya razbienii, Mir, M., 1982 | MR

[9] L. D. Landau, I. M. Livshits, “Teoreticheskaya fizika”, Statisticheskaya fizika, T. 4, GITTL, M.–L., 1951

[10] I. A. Kvasnikov, “Termodinamika i statisticheskaya fizika”, Teoriya ravnovesnykh sistem: Statisticheskaya fizika, T. 2, M., 2002

[11] V. L. Chernyshev, A. I. Shafarevich, Phil. Trans. Roy. Soc. A, 372:2007 (2014), 20130145 | DOI | MR | Zbl

[12] V. L. Chernyshev, A. A. Tolchennikov, “Asymptotic Estimate for the Number of Gaussian Packets on Three Decorated Graphs”, 2014, arXiv: 1403.0263

[13] A. Katok, Publ. Math., Inst. Hautes Etud. Sci., 51 (1980), 137–173 | DOI | MR | Zbl

[14] R. Mañé, J. Differential. Geometry, 45 (1997), 74–93 | MR | Zbl

[15] M. Pollicott, Amer. J. Math., 117:2 (1995), 289–305 | DOI | MR | Zbl

[16] G. Meinardus, Math. Z., 59 (1954), 388–398 | DOI | MR | Zbl

[17] B. L. Granovsky, D. Stark, Asymptotic Enumeration and Logical Limit Laws for Expansive Multisets and Selections, 2004, arXiv: 0407322 | MR

[18] V. P. Maslov, V. E. Nazaikinskii, Matem. zametki, 83:2 (2008), 232 | DOI | Zbl

[19] A. M. Vershik, “Statisticheskaya mekhanika kombinatornykh razbienii i ikh predelnye konfiguratsii”, Funkts. analiz i ego pril., 30:2 (1996), 19–39 | DOI | MR | Zbl

[20] V. E. Nazaikinskii, Math. Notes, 91:6 (2012), 816–823 | DOI | MR | Zbl

[21] B. M. Bredikhin, Matem. sb., 50 (92):2 (1960), 221–232 | MR | Zbl

[22] V. E. Nazaikinskii, DAN, 448:3 (2013), 266–268 | MR | Zbl