Five Lectures on the Life and Work of Academician I. M. Vinogradov
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and Combinatorial Number Theory, Tome 314 (2021), pp. 5-30.

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The article reproduces the text of lectures on the life and work of the Soviet Academician I. M. Vinogradov, the first director of the Steklov Mathematical Institute of the Academy of Sciences of the USSR, delivered by his colleague and co-author A. A. Karatsuba (1937–2008) in September 1983 at the Tajik State University named after V. I. Lenin (now Tajik National University), Dushanbe.
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A. A. Karatsuba. Five Lectures on the Life and Work of Academician I. M. Vinogradov. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and Combinatorial Number Theory, Tome 314 (2021), pp. 5-30. http://geodesic.mathdoc.fr/item/TM_2021_314_a0/

[1] Ivan Matveevich Vinogradov: Biograficheskie materialy k 120-letiyu so dnya rozhdeniya, RMP, Yaroslavl, 2011

[2] Pskovskaya guberniya. Spisok naselennykh mest po svedeniyam 1872–77 gody, Spiski naselennykh mest Rossiiskoi imperii, sostavlennye i izdavaemye Tsentralnym statisticheskim komitetom Ministerstva vnutrennikh del, 34, Obrab. V. Zverinskim, Izd. Tsentr. stat. kom. Min. vnutr. del, SPb., 1885

[3] Vasilev I.I., Opyt geografichesko-statisticheskogo slovarya Pskovskoi gubernii. Velikolukskii uezd, Psk. gub. stat. kom., Pskov, 1884

[4] “Eparkhialnye izvescheniya”, Pskovskie eparkhialnye vedomosti. Chast ofitsialnaya, 1904, no. 12 (15 iyunya), 196

[5] “Eparkhialnye izvescheniya”, Pskovskie eparkhialnye vedomosti. Chast ofitsialnaya, 1904, no. 10 (15 maya), 163

[6] “Eparkhialnye izvescheniya”, Pskovskie eparkhialnye vedomosti. Chast ofitsialnaya, 1904, no. 16 (15 avgusta), 263

[7] Huxley M.N., “Exponential sums and lattice points. III”, Proc. London Math. Soc. Ser. 3, 87:3 (2003), 591–609 | DOI | MR | Zbl

[8] Chamizo F., Iwaniec H., “On the sphere problem”, Rev. Mat. Iberoamer., 11:2 (1995), 417–429 | DOI | MR | Zbl

[9] Heath-Brown D.R., “Lattice points in the sphere”, Number theory progress, v. 2, Elementary and analytic number theory, de Gruyter, Berlin, 1999, 883–892 | MR | Zbl

[10] Wooley T.D., “The cubic case of the main conjecture in Vinogradov's mean value theorem”, Adv. Math., 294 (2016), 532–561 | DOI | MR | Zbl

[11] Bourgain J., Demeter C., Guth L., “Proof of the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three”, Ann. Math. Ser. 2, 184:2 (2016), 633–682 | DOI | MR | Zbl

[12] A. A. Karacuba, “Sums of characters over prime numbers”, Math. USSR, Izv., 4:2 (1970), 303–326 | DOI | MR

[13] A. A. Karatsuba, “Arithmetic problems in the theory of Dirichlet characters”, Russ. Math. Surv., 63:4 (2008), 641–690 | DOI | MR | Zbl