Boris Maximovich Bredikhin and his scientific and pedagogical activity
https://doi.org/10.22405/2226-8383-2020-21-4-19-28
Abstract
The article is devoted to the life and scientific and pedagogical activity of the famous
mathematician, doctor of physical and mathematical sciences, professor Boris Maximovich
Bredikhin (1920–1994) in connection with the 100th anniversary of his birth. In first provides
brief biological information from his life. The main part of our work is devoted to the
achievements of B. M. Bredikhin in number theory. An analysis of his scientific is given.
About the Authors
Nikolai Mihailovich DobrovolskyRussian Federation
doctor of physical and mathematical sciences, professor
Urusbi Mukhamedovich Pachev
Russian Federation
doctor of physical and mathematical sciences, professor
Vladimir Nikolaevich Chubarikov
Russian Federation
doctor of physical and mathematical sciences, professor
References
1. Dobrovolsky N. N. The Zeta function monoids of natural numbers with unique factorization //
2. Chebyshevskii SB. 2017. Vol. 15, Issue 4. P. 187–207.
3. Dobrovolsky N. N., Rebrova I. Yu., Dobrovolsky N. M. The inverse problem for the monoid
4. with exponential sequence of simple // Chebyshevskii SB. 2020. T. 21, № 1(73). P. 165–185.
5. Kopaneva A. A. Development of probabilities of number theory in the works of Russian
6. mathematicians. Abstract for the academic competition. degrees of candidate of physical and
7. mathematical Sciences. Orel : 2008.
8. Chudakov N. G. On a class of fully multiplicative functions // SMART. VIII. 1953. Issue 3
9. (55). P. 149 – 150.
10. Kanold H. J. Reine und angew. Math. m. 196. N 3–4. 1954.
11. Scherk P. J. Reine und angew. Math. m. 196. N 1–2. 1956.
12. Postnikov A. G. Introduction to analytical number theory. Nauka publishing house, Moscow,
13.
14. Linnik Yu. V. Dispersion method in binary additive problems. L. 1961. 208 p.
15. Titchmarsh E. C. A division problem. Rend. Circ. Mat. Palermo, V. 54. 1930. pp. 414–429.
16. Hooley C. On the representation of numbers as the sum of two squares and a prime // Acta
17. Math. V. 97. 1957. pp. 189–210.
18. Erdesh P. On an asymptotic inequality in number theory / / Bulletin of LSU, Vol. 13. 1960.
19. P. 41 – 49.
20. Sierpinski W. Teoria liczl, II. Warsczawa. PWN. 1959.
21. Golomb S. W. Sets of primes with intermediate density. Math. Scand., 3. 2. 1959. pp. 264–274.
22. Vinogradov I. M. Selected works. Publishing house of the USSR Academy of Sciences. 1952.
23. Weil A. On some exponential sums // Proc. Nat. Acad. Sci. USA. V. 34. 1948. pp. 204–207.
24. Friedlander J., Jwaniec H., 2018. ‘On a theory of Bredikhin and Linnik Chebyshevsky sbornik,
25. Vol. 19, no. 3. pp. 35–39.
26. Linnik Yu. V. Ergodic properties of algebraic fields.
27. LSU Publishing house. 1967. 208 p.
28. Ufimtseva L. I. A generalization of the additive problem of divisors of // Mod. notes. 1970.
29. Vol. 4, issue 4. P. 477–482.
Review
For citations:
Dobrovolsky N.M., Pachev U.M., Chubarikov V.N. Boris Maximovich Bredikhin and his scientific and pedagogical activity. Chebyshevskii Sbornik. 2020;21(4):19-28. (In Russ.) https://doi.org/10.22405/2226-8383-2020-21-4-19-28