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Kuz'min, Leonid Viktorovich
(1947–2024)
Doctor of physico-mathematical sciences (1997)

https://www.mathnet.ru/eng/person8820
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/216922

Publications in Math-Net.Ru Citations
2024
1. L. V. Kuz'min, “Arithmetic of certain $\ell$-extensions ramified at three places. IV”, Izv. RAN. Ser. Mat., 88:2 (2024),  80–95  mathnet  mathscinet  zmath; Izv. Math., 88:2 (2024), 270–283  isi  scopus 1
2. L. V. Kuz'min, “On a family of algebraic number fields with finite 3-class field tower”, Mat. Sb., 215:7 (2024),  52–60  mathnet  mathscinet  zmath; Sb. Math., 215:7 (2024), 911–919  isi  scopus
2022
3. L. V. Kuz'min, “Arithmetic of certain $\ell$-extensions ramified at three places. III”, Izv. RAN. Ser. Mat., 86:6 (2022),  123–142  mathnet  mathscinet  zmath; Izv. Math., 86:6 (2022), 1143–1161  isi  scopus 2
2021
4. L. V. Kuz'min, “Arithmetic of certain $\ell$-extensions ramified at three places. II”, Izv. RAN. Ser. Mat., 85:5 (2021),  132–151  mathnet  zmath  elib; Izv. Math., 85:5 (2021), 953–971  isi  scopus 3
2019
5. L. V. Kuz'min, “Arithmetic of Certain $\ell $-Extensions Ramified at Three Places”, Trudy Mat. Inst. Steklova, 307 (2019),  78–99  mathnet  elib; Proc. Steklov Inst. Math., 307 (2019), 65–84  isi  scopus 4
2018
6. L. V. Kuz'min, “Burnside-type problems in discrete geometry”, Diskr. Mat., 30:3 (2018),  68–76  mathnet  mathscinet  elib; Discrete Math. Appl., 29:6 (2019), 357–362  isi  scopus
7. L. V. Kuz'min, “Local and global universal norms in the cyclotomic $\mathbb Z_\ell$-extension of an algebraic number field”, Izv. RAN. Ser. Mat., 82:3 (2018),  90–107  mathnet  mathscinet  zmath  elib; Izv. Math., 82:3 (2018), 532–548  isi  scopus 3
2015
8. L. V. Kuz'min, “On a new type of $\ell$-adic regulator for algebraic number fields. II”, Algebra i Analiz, 27:6 (2015),  163–173  mathnet  mathscinet  elib; St. Petersburg Math. J., 27:6 (2016), 977–984  isi  scopus
9. L. V. Kuz'min, “On a new type of $\ell$-adic regulator for algebraic number fields (the $\ell$-adic regulator without logarithms)”, Izv. RAN. Ser. Mat., 79:1 (2015),  115–152  mathnet  mathscinet  zmath  elib; Izv. Math., 79:1 (2015), 109–144  isi  scopus 2
2014
10. L. V. Kuz'min, “On $\ell$-adic logarithms of Gauss sums”, Izv. RAN. Ser. Mat., 78:3 (2014),  111–134  mathnet  mathscinet  zmath  elib; Izv. Math., 78:3 (2014), 531–553  isi  scopus
2012
11. L. V. Kuz'min, “The feeble conjecture on the 2-adic regulator for some 2-extensions”, Izv. RAN. Ser. Mat., 76:2 (2012),  141–150  mathnet  mathscinet  zmath  elib; Izv. Math., 76:2 (2012), 346–355  isi  elib  scopus
2009
12. L. V. Kuz'min, “Some remarks on the $\ell$-adic regulator. V. Growth of the $\ell$-adic regulator in the cyclotomic $Z_\ell$-extension of an algebraic number field”, Izv. RAN. Ser. Mat., 73:5 (2009),  105–170  mathnet  mathscinet  zmath  elib; Izv. Math., 73:5 (2009), 959–1021  isi  elib  scopus 3
2008
13. L. V. Kuz'min, “On coherent families of uniformizing elements in some towers of Abelian extensions of local number fields”, Fundam. Prikl. Mat., 14:8 (2008),  151–157  mathnet  mathscinet  elib; J. Math. Sci., 166:5 (2010), 670–674  elib  scopus
2006
14. L. V. Kuz'min, “A property of the $\ell$-adic logarithms of units of non-abelian local fields”, Izv. RAN. Ser. Mat., 70:5 (2006),  97–122  mathnet  mathscinet  zmath  elib; Izv. Math., 70:5 (2006), 949–974  isi  elib  scopus 2
2000
15. L. V. Kuz'min, “Some remarks on the $\ell$-adic regulator. IV”, Izv. RAN. Ser. Mat., 64:2 (2000),  43–88  mathnet  mathscinet  zmath  elib; Izv. Math., 64:2 (2000), 265–310  isi  scopus 4
1999
16. L. V. Kuz'min, “Some remarks on the $\ell$-adic regulator. III”, Izv. RAN. Ser. Mat., 63:6 (1999),  29–82  mathnet  mathscinet  zmath; Izv. Math., 63:6 (1999), 1089–1138  isi  scopus 5
1996
17. L. V. Kuz'min, “On formulae for the class number of real Abelian fields”, Izv. RAN. Ser. Mat., 60:4 (1996),  43–110  mathnet  mathscinet  zmath  elib; Izv. Math., 60:4 (1996), 695–761  isi  scopus 35
1995
18. L. V. Kuz'min, “Some explicit calculations in local and global cyclotomic fields”, Trudy Mat. Inst. Steklov., 208 (1995),  202–223  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 208 (1995), 179–197 3
1990
19. L. V. Kuz'min, “New explicit formulas for the norm residue symbol, and their applications”, Izv. Akad. Nauk SSSR Ser. Mat., 54:6 (1990),  1196–1228  mathnet  mathscinet  zmath; Math. USSR-Izv., 37:3 (1991), 555–586 9
20. L. V. Kuz'min, “An analog of the Riemann–Hurwitz formula for one type of $l$-extensions of algebraic number fields”, Izv. Akad. Nauk SSSR Ser. Mat., 54:2 (1990),  316–338  mathnet  mathscinet  zmath; Math. USSR-Izv., 36:2 (1991), 325–347 10
1989
21. L. V. Kuz'min, “Some remarks on the $l$-adic regulator. II”, Izv. Akad. Nauk SSSR Ser. Mat., 53:4 (1989),  782–813  mathnet  mathscinet  zmath; Math. USSR-Izv., 35:1 (1990), 113–144 9
1984
22. L. V. Kuz'min, “Algebraic number fields”, Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 22 (1984),  117–204  mathnet  mathscinet  zmath; J. Soviet Math., 38:3 (1987), 1930–1988
1981
23. L. V. Kuz'min, “Some remarks on the $l$-adic Dirichlet theorem and the $l$-adic regulator”, Izv. Akad. Nauk SSSR Ser. Mat., 45:6 (1981),  1203–1240  mathnet  mathscinet  zmath; Math. USSR-Izv., 19:3 (1982), 445–478 9
1979
24. L. V. Kuz'min, “Some duality theorems for cyclotomic $\Gamma$-extensions of algebraic number fields of $CM$ type”, Izv. Akad. Nauk SSSR Ser. Mat., 43:3 (1979),  483–546  mathnet  mathscinet  zmath; Math. USSR-Izv., 14:3 (1980), 441–498  isi 8
1975
25. L. V. Kuz'min, “Local extensions associated with $l$-extensions with given ramification”, Izv. Akad. Nauk SSSR Ser. Mat., 39:4 (1975),  739–772  mathnet  mathscinet  zmath; Math. USSR-Izv., 9:4 (1975), 693–726 2
26. L. V. Kuz'min, “Cohomological dimension of some Galois groups”, Izv. Akad. Nauk SSSR Ser. Mat., 39:3 (1975),  487–495  mathnet  mathscinet  zmath; Math. USSR-Izv., 9:3 (1975), 455–463 6
1972
27. L. V. Kuz'min, “The Tate module for algebraic number fields”, Izv. Akad. Nauk SSSR Ser. Mat., 36:2 (1972),  267–327  mathnet  mathscinet  zmath; Math. USSR-Izv., 6:2 (1972), 263–321 35
1969
28. L. V. Kuz'min, “Homology of profinite groups, Schur multiplirrs, and class field theory”, Izv. Akad. Nauk SSSR Ser. Mat., 33:6 (1969),  1220–1254  mathnet  mathscinet  zmath; Math. USSR-Izv., 3:6 (1969), 1149–1181 16
2019
29. V. A. Artamonov, V. M. Buchstaber, È. B. Vinberg, L. V. Kuz'min, V. S. Kulikov, V. N. Latyshev, A. V. Mikhalev, A. Yu. Ol'shanskii, D. O. Orlov, A. N. Parshin, D. I. Piontkovskii, “Evgenii Solomonovich Golod (obituary)”, Uspekhi Mat. Nauk, 74:5(449) (2019),  163–169  mathnet  mathscinet  zmath; Russian Math. Surveys, 74:5 (2019), 927–933  isi
2018
30. I. V. Arzhantsev, V. M. Buchstaber, L. V. Kuz'min, V. S. Kulikov, A. Yu. Ol'shanskii, D. O. Orlov, A. N. Parshin, D. I. Piontkovskii, Yu. G. Prokhorov, “Evgenii Solomonovich Golod”, Chebyshevskii Sb., 19:2 (2018),  542–545  mathnet

Presentations in Math-Net.Ru
1. Об одном семействе полей алгебраических чисел с конечной 3-башней полей классов
L. V. Kuz'min
Conference on algebra, algebraic geometry, and number theory on the occasion of academician Igor Rostislavovich Shafarevich 100th birthday
June 6, 2023 16:20   
2. Arithmetic of certain $\ell$-extensions ramified at three places
L. V. Kuz'min
“Numbers and functions” – Memorial conference for 80th birthday of Alexey Nikolaevich Parshin
November 29, 2022 15:45
3. Applications of the analogue of the Riemann–Hurwitz formula in Iwasawa theory
L. V. Kuz'min
International conference ''Algebra, algebraic geometry and number theory'' dedicated to the memory of academician Igor Rostislavovich Shafarevich
June 14, 2018 15:50   
4. Рост $\ell$-адического регулятора в круговом $Z_\ell$-расширении
L. V. Kuz'min
Seminar by Algebra Department
March 11, 2008 15:00
5. Гауссовы суммы
L. V. Kuz'min
A. Bondal Seminar
January 12, 2006

Organisations
 
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