Edit Profile (opens in new tab) Kuz’min, Leonid Viktorovich Co-Author Distance Author ID: kuzmin.l-v Published as: Kuz’min, L. V.; Kuz’min, Leonid V. Further Spellings: Кузьмин Леонид Викторович External Links: MGP · Math-Net.Ru Documents Indexed: 39 Publications since 1969, including 1 Additional arXiv Preprint Co-Authors: 12 Co-Authors with 2 Joint Publications 804 Co-Co-Authors all top 5 Co-Authors 36 single-authored 2 Bukhshtaber, Viktor Matveevich 2 Kulikov, Viktor Stepanovich 2 Ol’shanskiĭ, Aleksandr Yur’evich 2 Orlov, Dmitri O. 2 Parshin, Alekseĭ Nikolaevich 2 Piontkovskij, D. I. 1 Artamonov, Vyacheslav Aleksandrovich 1 Arzhantsev, Ivan Vladimirovich 1 Latyshev, Viktor Nikolaevich 1 Mikhalëv, Aleksandr Vasil’evich 1 Petrov, A. P. 1 Prokhorov, Yuriĭ Gennad’evich 1 Vinberg, Èrnest Borisovich all top 5 Serials 11 Izvestiya: Mathematics 9 Mathematics of the USSR. Izvestiya 5 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Journal of Mathematical Sciences (New York) 1 Russian Mathematical Surveys 1 Journal of Soviet Mathematics 1 Discrete Mathematics and Applications 1 Journal of Mathematical Imaging and Vision 1 St. Petersburg Mathematical Journal 1 Chebyshevskiĭ Sbornik 1 Proceedings of the Steklov Institute of Mathematics all top 5 Fields 34 Number theory (11-XX) 3 Field theory and polynomials (12-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 18 Publications have been cited 71 times in 54 Documents Cited by ▼ Year ▼ The Tate module for algebraic number fields. Zbl 0231.12013 Kuz’min, L. V. 19 1972 The Tate module for algebraic number fields. Zbl 0257.12003 Kuz’min, L. V. 15 1973 On formulae for the class number of real Abelian fields. Zbl 1007.11065 Kuz’min, L. V. 11 1996 Homology of profinite groups, Schur multipliers, and class field theory. Zbl 0211.07903 Kuz’min, L. V. 4 1971 Local extensions associated with \(\ell\)-extensions with given ramification. Zbl 0342.12007 Kuz’min, L. V. 4 1976 Some duality theorems for cyclotomic \(\Gamma\)-extensions of algebraic number fields of CM type. Zbl 0448.12007 Kuz’min, L. V. 3 1980 An analog of the Riemann-Hurwitz formula for one type of \(l\)-extension of algebraic number fields. Zbl 0767.11050 Kuz’min, L. V. 2 1990 Some duality theorems for cyclotomic \(\Gamma\)-extensions of algebraic number fields of CM type. Zbl 0434.12006 Kuz’min, L. V. 2 1979 On a new type of \(\ell\)-adic regulator for algebraic number fields (the \(\ell\)-adic regulator without logarithms). Zbl 1325.11115 Kuz’min, L. V. 2 2015 Local and global universal norms in the cyclotomic \( {\mathbb Z}_\ell\)-extension of an algebraic number field. Zbl 1439.11277 Kuz’min, L. V. 2 2018 Some remarks on the \(\ell\)-adic Dirichlet theorem and the \(\ell\)-adic regulator. Zbl 0527.12012 Kuz’min, L. V. 1 1982 A new proof of some duality theorem on the \(\ell\)-adic logarithms of local units. Zbl 0937.11050 Kuz’min, L. V. 1 1999 Some remarks on the \(\ell\)-adic regulator. III. Zbl 1001.11041 Kuz’min, L. V. 1 1999 Some remarks on the \( \ell\)-adic regulator. V: Growth of the \( \ell\)-adic regulator in the cyclotomic \(\mathbb Z_\ell\)-extension of an algebraic number field. Zbl 1248.11084 Kuz’min, L. V. 1 2009 Local extensions associated with \(\ell\)-extensions with given ramification. Zbl 0334.12027 Kuz’min, L. V. 1 1975 Visual space geometry derived from acclusion axioms. Zbl 1490.68269 Petrov, A. P.; Kuzmin, L. V. 1 1996 Some remarks on the \(\ell\)-adic regulator. II. Zbl 0695.12003 Kuz’min, L. V. 1 1990 New explicit formulas for the norm residue symbol, and their applications. Zbl 0737.11039 Kuz’min, L. V. 1 1990 Local and global universal norms in the cyclotomic \( {\mathbb Z}_\ell\)-extension of an algebraic number field. Zbl 1439.11277 Kuz’min, L. V. 2 2018 On a new type of \(\ell\)-adic regulator for algebraic number fields (the \(\ell\)-adic regulator without logarithms). Zbl 1325.11115 Kuz’min, L. V. 2 2015 Some remarks on the \( \ell\)-adic regulator. V: Growth of the \( \ell\)-adic regulator in the cyclotomic \(\mathbb Z_\ell\)-extension of an algebraic number field. Zbl 1248.11084 Kuz’min, L. V. 1 2009 A new proof of some duality theorem on the \(\ell\)-adic logarithms of local units. Zbl 0937.11050 Kuz’min, L. V. 1 1999 Some remarks on the \(\ell\)-adic regulator. III. Zbl 1001.11041 Kuz’min, L. V. 1 1999 On formulae for the class number of real Abelian fields. Zbl 1007.11065 Kuz’min, L. V. 11 1996 Visual space geometry derived from acclusion axioms. Zbl 1490.68269 Petrov, A. P.; Kuzmin, L. V. 1 1996 An analog of the Riemann-Hurwitz formula for one type of \(l\)-extension of algebraic number fields. Zbl 0767.11050 Kuz’min, L. V. 2 1990 Some remarks on the \(\ell\)-adic regulator. II. Zbl 0695.12003 Kuz’min, L. V. 1 1990 New explicit formulas for the norm residue symbol, and their applications. Zbl 0737.11039 Kuz’min, L. V. 1 1990 Some remarks on the \(\ell\)-adic Dirichlet theorem and the \(\ell\)-adic regulator. Zbl 0527.12012 Kuz’min, L. V. 1 1982 Some duality theorems for cyclotomic \(\Gamma\)-extensions of algebraic number fields of CM type. Zbl 0448.12007 Kuz’min, L. V. 3 1980 Some duality theorems for cyclotomic \(\Gamma\)-extensions of algebraic number fields of CM type. Zbl 0434.12006 Kuz’min, L. V. 2 1979 Local extensions associated with \(\ell\)-extensions with given ramification. Zbl 0342.12007 Kuz’min, L. V. 4 1976 Local extensions associated with \(\ell\)-extensions with given ramification. Zbl 0334.12027 Kuz’min, L. V. 1 1975 The Tate module for algebraic number fields. Zbl 0257.12003 Kuz’min, L. V. 15 1973 The Tate module for algebraic number fields. Zbl 0231.12013 Kuz’min, L. V. 19 1972 Homology of profinite groups, Schur multipliers, and class field theory. Zbl 0211.07903 Kuz’min, L. V. 4 1971 all cited Publications top 5 cited Publications all top 5 Cited by 44 Authors 10 Nguyen Quang Do, Thong 5 Jaulent, Jean-François 5 Seo, Soogil 4 Kuz’min, Leonid Viktorovich 3 Greither, Cornelius 3 Kolster, Manfred 2 Bullach, Dominik 2 Fujii, Satoshi 2 Hofer, Martin 2 Ichimura, Humio 2 Kleine, Sören 2 Movahhedi, Abbas 2 Vauclair, David 1 Badino, Raphaël 1 Beliaeva, Tatiana 1 Belliard, Jean-Robert 1 Benois, Denis 1 Burns, David John 1 Cornacchia, Pietro 1 Daoud, Alexandre 1 Fleckinger, Vincent 1 Furuta, Yoshiomi 1 Gillard, Roland 1 Gorchinskiĭ, Sergeĭ Olegovich 1 Hachimori, Yoshitaka 1 Heider, Franz-Peter 1 Ishkhanov, V. V. 1 Kučera, Radan 1 Kulikov, Viktor Stepanovich 1 Lee, Wan 1 Maksoud, Alexandre 1 Matsuno, Kazuo 1 Mukhamedov, V. G. 1 Nakajima, Shōichi 1 Okano, Keiji 1 Opolka, Hans 1 Parshin, Alekseĭ Nikolaevich 1 Popov, Vladimir Leonidovich 1 Sauzet, Odile 1 Sharifi, Romyar T. 1 Tan, Eng-Tjioe 1 Validire, Romain 1 Wingberg, Kay 1 Yamagishi, Masakazu all top 5 Cited in 33 Serials 6 Journal of Number Theory 4 Annales de l’Institut Fourier 3 Archiv der Mathematik 3 Manuscripta Mathematica 3 Journal de Théorie des Nombres de Bordeaux 2 Compositio Mathematica 2 \(K\)-Theory 2 Izvestiya: Mathematics 2 Documenta Mathematica 2 International Journal of Number Theory 2 Proceedings of the Steklov Institute of Mathematics 2 Annales Mathématiques du Québec 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Arithmetica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Journal of Soviet Mathematics 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Tokyo Journal of Mathematics 1 Journal of Algebraic Geometry 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 The New York Journal of Mathematics 1 Moscow Mathematical Journal all top 5 Cited in 9 Fields 53 Number theory (11-XX) 3 \(K\)-theory (19-XX) 2 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year