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Publications in Math-Net.Ru |
Citations |
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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 ; Izv. Math., 88:2 (2024), 270–283 |
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2. |
L. V. Kuz'min, “On a certain family of algebraic number fields with finite 3-class field tower”, Mat. Sb., 215:7 (2024), 52–60 |
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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 ; Izv. Math., 86:6 (2022), 1143–1161 |
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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 ; Izv. Math., 85:5 (2021), 953–971 |
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2019 |
5. |
L. V. Kuz'min, “Arithmetic of Certain $\ell $-Extensions Ramified at Three Places”, Trudy Mat. Inst. Steklova, 307 (2019), 78–99 ; Proc. Steklov Inst. Math., 307 (2019), 65–84 |
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2018 |
6. |
L. V. Kuz'min, “Burnside-type problems in discrete geometry”, Diskr. Mat., 30:3 (2018), 68–76 ; Discrete Math. Appl., 29:6 (2019), 357–362 |
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 ; Izv. Math., 82:3 (2018), 532–548 |
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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 ; St. Petersburg Math. J., 27:6 (2016), 977–984 |
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 ; Izv. Math., 79:1 (2015), 109–144 |
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2014 |
10. |
L. V. Kuz'min, “On $\ell$-adic logarithms of Gauss sums”, Izv. RAN. Ser. Mat., 78:3 (2014), 111–134 ; Izv. Math., 78:3 (2014), 531–553 |
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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 ; Izv. Math., 76:2 (2012), 346–355 |
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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 ; Izv. Math., 73:5 (2009), 959–1021 |
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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 ; J. Math. Sci., 166:5 (2010), 670–674 |
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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 ; Izv. Math., 70:5 (2006), 949–974 |
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2000 |
15. |
L. V. Kuz'min, “Some remarks on the $\ell$-adic regulator. IV”, Izv. RAN. Ser. Mat., 64:2 (2000), 43–88 ; Izv. Math., 64:2 (2000), 265–310 |
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1999 |
16. |
L. V. Kuz'min, “Some remarks on the $\ell$-adic regulator. III”, Izv. RAN. Ser. Mat., 63:6 (1999), 29–82 ; Izv. Math., 63:6 (1999), 1089–1138 |
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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 ; Izv. Math., 60:4 (1996), 695–761 |
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1995 |
18. |
L. V. Kuz'min, “Some explicit calculations in local and global cyclotomic fields”, Trudy Mat. Inst. Steklov., 208 (1995), 202–223 ; Proc. Steklov Inst. Math., 208 (1995), 179–197 |
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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 ; Math. USSR-Izv., 37:3 (1991), 555–586 |
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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 ; Math. USSR-Izv., 36:2 (1991), 325–347 |
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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 ; Math. USSR-Izv., 35:1 (1990), 113–144 |
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1984 |
22. |
L. V. Kuz'min, “Algebraic number fields”, Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 22 (1984), 117–204 ; J. Soviet Math., 38:3 (1987), 1930–1988 |
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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 ; Math. USSR-Izv., 19:3 (1982), 445–478 |
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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 ; Math. USSR-Izv., 14:3 (1980), 441–498 |
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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 ; Math. USSR-Izv., 9:4 (1975), 693–726 |
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26. |
L. V. Kuz'min, “Cohomological dimension of some Galois groups”, Izv. Akad. Nauk SSSR Ser. Mat., 39:3 (1975), 487–495 ; Math. USSR-Izv., 9:3 (1975), 455–463 |
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1972 |
27. |
L. V. Kuz'min, “The Tate module for algebraic number fields”, Izv. Akad. Nauk SSSR Ser. Mat., 36:2 (1972), 267–327 ; Math. USSR-Izv., 6:2 (1972), 263–321 |
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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 ; Math. USSR-Izv., 3:6 (1969), 1149–1181 |
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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 ; Russian Math. Surveys, 74:5 (2019), 927–933 |
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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 |
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