From the history of the department of number theory: to the 150-th anniversary of Moscow State Pedagogical University
Čebyševskij sbornik, Tome 23 (2022) no. 3, pp. 282-303.

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The article gives a brief outline of the history of the department of Number Theory of MSPU from its creation to the present. In connection with the 150-th anniversary of Moscow State Pedagogical University, a short overvew about the main milestones in history, leading specialists, scientific and educational activities of one of the oldest departments of the Institute of Mathematics and Informatics (until 2018 — the Faculty of Mathematics) of Moscow State Pedagogical University (until 1990 — Moscow State Pedagogical Institute named after V.I. Lenin) is presented.
Keywords: Moscow State Pedagogical University, Department of Number Theory, Analytic Number Theory, Methodology of Higher Pedagogical Education.
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     journal = {\v{C}eby\v{s}evskij sbornik},
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E. I. Deza; N. M. Dobrovolskii; T. K. Ikonnikova; L. V. Kotova; E. S. Krupitsyn; I. Ju. Rebrova; M. E. Changa; V. G. Chirskii. From the history of the department of number theory: to the 150-th anniversary of Moscow State Pedagogical University. Čebyševskij sbornik, Tome 23 (2022) no. 3, pp. 282-303. http://geodesic.mathdoc.fr/item/CHEB_2022_23_3_a22/

[1] Bukhshtab A.A., “Asimptoticheskaya otsenka odnoi obschei teoretiko-chislovoi funktsii”, Matematicheskii sbornik, 2:6(44) (1937) | Zbl

[2] Bukhshtab A.A., Teoriya chisel, Prosveschenie, M., 1966

[3] “Panteleeva (Deza) E.I. O probleme delitelei v chislovykh polyakh”, Matematicheskie zametki, 44:4 (1988)

[4] Panteleeva (Deza) E.I., “Odno zamechanie o probleme delitelei Dirikhle”, Matematicheskie zametki, 53:4 (1993) | Zbl

[5] “Panteleeva (Deza) E.I. O srednikh znacheniyakh nkotorykh arifmticheskikh funktsii”, Matematichskie zametki, 55:2 (1994)

[6] Deza M., Panteleeva (Deza) E., “Quasi-semi-metrics, Oriented Multi-cuts and Related Polyhedra”, European Journal of Combinatorics, 21:6 (2000) | MR

[7] Deza E., Varukhina L., “On mean values of some arithmetic functions in number fields”, Discrete Mathematics, 308 (2008) | DOI | MR | Zbl

[8] Deza E.I., Deza M.M., Figurate numbers, World Scientific Publishing Company, 2012 | MR | Zbl

[9] Deza M.M., Deza E.I., Dyutur Sikirich M., “Poliedralnye konstruktsii, svyazannye s kvazi-metrikami”, Chebyshevskii sbornik, 16:2 (2015) | MR

[10] Deza M.M., Deza E.I., Encyclopedia of Distances, Springer, Berlin–Heidelberg, 2016 | MR | Zbl

[11] Deza, E.I., Deza M.M., Dutour Sicirić M., Generaliations of finite metrics and cuts, World Scientific Publishing Company, 2016 | MR

[12] Deza E., Mersenne and Fermat Numbers, World Scientific Publishing Company, 2021

[13] Mitkin D.A., “K otsenke ratsionalnoi trigonometricheskoi summy s prostym znamenatelem”, Vestnik MGU. Cer. matem. i mekh., 1972, no. 5 | MR | Zbl

[14] Mitkin D.A., “Otsenka summy simvolov Lezhandra ot mnogochlenov chetnoi stepeni”, Matematicheskie zametki, 141:1 (1973)

[15] Mitkin D.A., “Ob otsenkakh ratsionalnykh trigonometricheskikh summ spetsialnogo vida”, Doklady AN SSSR, 224:4 (1975) | MR | Zbl

[16] Mitkin D.A., “Ob otsenkakh i asimptoticheskikh formulakh dlya ratsionalnykh trigonometricheskikh summ, blizkikh k polnym”, Matematicheskii sbornik, 122(164):4(12) (1983) | MR | Zbl

[17] Mitkin D.A., “Mnogochleny s minimalnym mnozhestvom znachenii i uravnenie $f(x)=f(y)$ v prostom konechnom pole”, Matematicheskie zametki, 38:1 (1985) | MR | Zbl

[18] Mitkin D.A., “Ob otsenke chisla kornei nekotorykh sravnenii po metodu Stepanova”, Matematicheskie zametki, 51:6 (1992) | MR | Zbl

[19] Mitkin D.A., “Ob otsenke chisla reshenii nekotorykh “vyscherblennykh” sistem uravnenii”, Matematicheskie zametki, 57:5 (1995) | Zbl

[20] Mitkin D.A., “Utochnenie otsenki dlya summy simvolov Lezhandra ot mnogochlenov nechetnoi stepeni”, Chebyshevskii sbornik, 6:3(15) (2005), 123–126 | MR | Zbl

[21] Nechaev V.I., “Predstavlenii naturalnykh chisel summoi slagaemykh vida $\frac{x(x+1)...(x+n-1)}{n!}$”, Doklady AN SSSR, 64 (1949) | Zbl

[22] Nechaev V.I., “Problema Varinga dlya mnogochlenov”, Tr. MIAN SSSR, 38, no. 1, 1951 | Zbl

[23] Nechaev V.I., “O predstavlenii naturalnykh chisel summoi slagaemykh vida $\frac{x(x+1)...(x+n-1)}{n!}$”, Izv. AN SSSR. Ser. matem., 17:6 (1953) | Zbl

[24] Nechaev V.I., “Gruppy nevyrozhdennykh matrits nad konechnymi polyami i rekurrentnye posledovatelnosti”, Doklady AN SSSR, 152 (1963) | Zbl

[25] Nechaev V.I., “Neuluchshaemaya otsenka trigonometricheskikh summ s rekurrentnymi funktsiyami s nepostoyannymi koeffitsientami”, Doklady AN SSSR, 154 (1964) | Zbl

[26] Nechaev V.I., “Lineinye rekurrentnye sravneniya s periodicheskimi koeffitsientami”, Matematicheskie zametki, 3:6 (1968) | Zbl

[27] Nechaev V.I., “Trigonometricheskie summy dlya rekurrentnykh posledovatelnostei”, Doklady AN SSSR, 206:2 (1972) | Zbl

[28] Nechaev V.I., “Otsenka polnoi ratsionalnoi trigonometricheskoi summy”, Matematicheskie zametki, 17:6 (1975) | MR

[29] Nechaev V.I., Chislovye sistemy, Prosveschenie, M., 1975

[30] Nechaev V.I., “K voprosu o predstavlenii naturalnykh chisel summoi slagaemykh vida $\frac{x(x+1)...(x+n-1)}{n!}$”, Trudy MIAN SSSR, 142, no. 1, 1976 | Zbl

[31] Nechaev V.I., “K voprosu o slozhnosti determinirovannogo algoritma dlya diskretnogo logarifma”, Matematicheskie zametki, 55:2 (1994) | Zbl

[32] Nechaev V.I., “Raspredelenie znakov v posledovatelnosti pryamougolnykh matrits nad konechnym polem”, Trudy MIAN, 218, 1996

[33] Nechaev V.I., Elementy kriptografii (Osnovy teorii zaschity informatsii), Vysshaya shkola, M., 1999 | MR

[34] Chirskii V.G., “O globalnykh sootnosheniyakh”, Matematicheskie zametki, 48:2 (1990) | MR | Zbl

[35] Chirskii V.G., “Arifmeticheskie svoistva poliadicheskikh ryadov s periodicheskimi koeffitsientami”, Doklady Akademii nauk, 459:6 (2014) | DOI | Zbl

[36] Chirskii V.G., Nesterenko A.Yu., “Ob odnom podkhode k preobrazovaniyu periodicheskikh posledovatelnostei”, Diskretnaya matematika, 27:4 (2015) | DOI

[37] Chirskii V.G., “Predstavlenie naturalnykh chisel slagaemymi opredelennogo vida”, Sovremennye problemy matematiki, 2017, no. 24

[38] Chirskii V.G., “Arifmeticheskie svoistva poliadicheskikh ryadov s periodicheskimi koeffitsientami”, Izvestiya RAN. Seriya matematicheskaya, 81:2 (2017)

[39] Chirskii V.G., “Topical problems of the theory of Transcendental numbers: Developments of approaches to tyeir solutions in the works of Yu.V. Nesterenko”, Russian Journal of Mathematical Physics, 24:2 (2017) | DOI | MR

[40] Chirskii V.G., “Arifmeticheskie svoistva obobschennykh gipergeometricheskikh $F$-ryadov”, Doklady Akademii nauk, 483:3 (2018) | Zbl

[41] Cirskii V.G., “Product formula, global relations and polyadic integers”, Russian Journal of Mathematical Physics, 26:3 (2019) | MR

[42] Chirskii V.G., “Arifmeticheskie svoistva ryadov eilerova tipa s parametrom - liuvillevym poliadicheskim chislom”, Doklady Akademii nauk, 494 (2020) | Zbl

[43] Chirskii V.G., “Arithmetic Properties of an Euler-Type Series with Polyadic Liouville Parameter”, Russian Journal of Mathematical Physics, 28:3 (2021) | DOI | MR | Zbl

[44] Chirskii V.G., Kozko A.I., Luzhina L.M., Popov A.Yu., “Funktsiya potrebleniya v modeli ekonomicheskogo rosta Ramseya-Kassa-Kupmansa v sluchae statsionarnosti funktsii sberezheniya”, Chebyshevskii sbornik, 23:1 (2022) | DOI

[45] Chirskii V.G., “Beskonechnaya lineinaya nezavisimost s ogranicheniyami na podmnozhestvo prostykh chisel znachenii ryadoveilerova tipa s poliadicheskim liuvillevym paramerom”, Chebyshevskii sbornik, 23:1 (2022) | DOI