Edit Profile Iwasawa, Kenkichi Compute Distance To: Compute Author ID: iwasawa.kenkichi Published as: Iwasawa, K.; Iwasawa, Kenkichi; Iwasawa, Kenkiti External Links: MGP · Wikidata · GND · MacTutor Documents Indexed: 62 Publications since 1941, including 9 Books Biographic References: 5 Publications all top 5 Co-Authors 57 single-authored 3 Tamagawa, Tsuneo 1 Borel, Armand 1 Chowla, Sarvadaman 1 Herz, Carl S. 1 Serre, Jean-Pierre 1 Sims, Charles Coffin all top 5 Serials 10 Annals of Mathematics. Second Series 9 Journal of the Mathematical Society of Japan 3 Proceedings of the Japan Academy 2 American Journal of Mathematics 2 Proceedings of the Physico-Mathematical Society of Japan 2 Japanese Journal of Mathematics 2 Proceedings of the Imperial Academy of Japan 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Arithmetica 1 Inventiones Mathematicae 1 Nagoya Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Sūgaku 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society 1 Proceedings of the Imperial Academy of Japan 1 Annals of Mathematics Studies 1 Colloques Internationaux du Centre National de la Recherche Scientifique 1 Lecture Notes in Mathematics 1 Translations of Mathematical Monographs 1 Journal of the Faculty of Science. Section I 1 SpringerBriefs in Mathematics 1 Oxford Mathematical Monographs 1 Springer Collected Works in Mathematics all top 5 Fields 31 Number theory (11-XX) 4 History and biography (01-XX) 4 Algebraic geometry (14-XX) 3 Field theory and polynomials (12-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 50 Publications have been cited 1,435 times in 1,185 Documents Cited by ▼ Year ▼ On some types of topological groups. Zbl 0034.01803Iwasawa, Kenkichi 239 1949 On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields. Zbl 0285.12008Iwasawa, Kenkichi 216 1973 Lectures on \(p\)-adic \(L\)-functions. Zbl 0236.12001Iwasawa, Kenkichi 107 1972 A note on class numbers of algebraic number fields. Zbl 0074.03002Iwasawa, Kenkichi 98 1956 On \(\varGamma\)-extensions of algebraic number fields. Zbl 0089.02402Iwasawa, Kenkichi 67 1959 Über die endlichen Gruppen und die Verbände ihrer Untergruppen. Zbl 0061.02503Iwasawa, Kenkiti 63 1941 Local class field theory. Zbl 0604.12014Iwasawa, Kenkichi 45 1986 Riemann-Hurwitz formula and p-adic Galois representations for number fields. Zbl 0468.12004Iwasawa, Kenkichi 36 1981 On \(p\)-adic \(L\)-functions. Zbl 0186.09201Iwasawa, Kenkichi 36 1969 On some modules in the theory of cyclotomic fields. Zbl 0125.29207Iwasawa, K. 35 1964 A class number formula for cyclotomic fields. Zbl 0125.02003Iwasawa, Kenkichi 35 1962 On solvable extensions of algebraic number fields. Zbl 0051.26602Iwasawa, Kenkichi 35 1953 A note on the group of units of an algebraic number field. Zbl 0071.26504Iwasawa, Kenkichi 33 1956 On Galois groups of local fields. Zbl 0074.03101Iwasawa, Kenkichi 29 1955 Seminar on complex multiplication. Seminar held at the Institute for Advanced Study, Princeton, N.J., 1957–58. Zbl 0147.03902Borel, Armand; Chowla, Sarvadaman; Herz, C. S.; Iwasawa, K.; Serre, Jean-Pierre 28 1966 On the structure of infinite M-groups. Zbl 0061.02504Iwasawa, Kenkiti 27 1943 On linearly ordered groups. Zbl 0038.01301Iwasawa, Kenkichi 25 1948 Topological groups with invariant compact neighborhoods of the identity. Zbl 0044.01903Iwasawa, Kenkichi 22 1951 Über die Struktur der endlichen Gruppen, deren echte Untergruppen sämtlich nilpotent sind. JFM 67.0071.05Iwasawa, K. 21 1941 On cohomology groups of units for \(Z_ p\)-extensions. Zbl 0525.12009Iwasawa, Kenkichi 18 1983 Computation of invariants in the theory of cyclotomic fields. Zbl 0141.04901Iwasawa, K.; Sims, C. C. 18 1966 On explicit formulas for the norm residue symbol. Zbl 0256.12013Iwasawa, Kenkichi 17 1968 A note on ideal class groups. Zbl 0139.28104Iwasawa, Kenkichi 17 1966 On the \(\mu\)-invariants of \(\mathbb Z_{\ell}\)-extensions. Zbl 0281.12005Iwasawa, Kenkichi 16 1973 On the theory of cyclotomic fields. Zbl 0093.04403Iwasawa, Kenkichi 15 1959 On the rings of valuation vectors. Zbl 0053.35603Iwasawa, Kenkichi 15 1953 Einige Sätze über freie Gruppen. Zbl 0061.02505Iwasawa, Kenkiti 14 1943 A note on capitulation problem for number fields. I, II. Zbl 0704.11047Iwasawa, Kenkichi 12 1989 A note on Jacobi sums. Zbl 0324.12007Iwasawa, Kenkichi 12 1975 Algebraic functions. Translated from the Japanese by Goro Kato. Zbl 0790.14017Iwasawa, Kenkichi 11 1993 On the group of automorphisms of a function field. Zbl 0044.26901Iwasawa, Kenkichi; Tamagawa, Tsuneo 10 1951 On some properties of \(\Gamma\)-finite modules. Zbl 0202.33102Iwasawa, K. 8 1959 On the structure of conditionally complete lattice-groups. Zbl 0061.03408Iwasawa, Kenkichi 8 1943 Über die Struktur der endlichen Gruppen, deren echte Untergruppen sämtlich nilpotent sind. Zbl 0025.10104Iwasawa, Kenkiti 7 1941 Über die Einfachheit der speziellen projektiven Gruppen. Zbl 0025.01101Iwasawa, Kenkiti 7 1941 Local class field theory. Transl. from the Japanese by A. A. Bel’skiĭ. Transl. ed. by B. B. Venkov. Zbl 0566.12005Iwasawa, Kenkichi 5 1983 On some invariants of cyclotomic fields. Zbl 0084.04101Iwasawa, Kenkichi 5 1958 Letter to J. Dieudonné. Zbl 0835.11002Iwasawa, Kenkichi 4 1992 Some remarks on Hecke characters. Zbl 0364.12010Iwasawa, Kenkichi 4 1977 Über nilpotente topologische Gruppen. I. Zbl 0063.02996Iwasawa, Kenkiti 3 1949 On local cyclotomic fields. Zbl 0100.26801Iwasawa, Kenkichi 2 1960 Some properties of \((L-)\)groups. Zbl 0049.01601Iwasawa, Kenkichi 2 1952 A note on cyclotomic fields. Zbl 0342.12004Iwasawa, Kenkichi 1 1976 On the \(\mu\)-invariants of cyclotomic fields. Zbl 0253.12012Iwasawa, Kenkichi 1 1972 Skew-symmetric forms for number fields. Zbl 0219.12018Iwasawa, K. 1 1971 On a certain analogy between algebraic number fields and function fields. Zbl 0121.04501Iwasawa, Kenkichi 1 1963 Sheaves for algebraic number fields. Zbl 0090.02903Iwasawa, Kenkichi 1 1959 A note on Kummer extensions. Zbl 0052.27105Iwasawa, Kenkichi 1 1953 Correction: On the paper “On the group of automorphisms of a function field”. (This journal, vol. 3 (1951), pp. 137-147). Zbl 0049.30801Iwasawa, Kenkichi; Tamagawa, Tsuneo 1 1952 Über die Einfachheit der speziellen projektiven Gruppen. JFM 67.0075.04Iwasawa, K. 1 1941 Algebraic functions. Translated from the Japanese by Goro Kato. Zbl 0790.14017Iwasawa, Kenkichi 11 1993 Letter to J. Dieudonné. Zbl 0835.11002Iwasawa, Kenkichi 4 1992 A note on capitulation problem for number fields. I, II. Zbl 0704.11047Iwasawa, Kenkichi 12 1989 Local class field theory. Zbl 0604.12014Iwasawa, Kenkichi 45 1986 On cohomology groups of units for \(Z_ p\)-extensions. Zbl 0525.12009Iwasawa, Kenkichi 18 1983 Local class field theory. Transl. from the Japanese by A. A. Bel’skiĭ. Transl. ed. by B. B. Venkov. Zbl 0566.12005Iwasawa, Kenkichi 5 1983 Riemann-Hurwitz formula and p-adic Galois representations for number fields. Zbl 0468.12004Iwasawa, Kenkichi 36 1981 Some remarks on Hecke characters. Zbl 0364.12010Iwasawa, Kenkichi 4 1977 A note on cyclotomic fields. Zbl 0342.12004Iwasawa, Kenkichi 1 1976 A note on Jacobi sums. Zbl 0324.12007Iwasawa, Kenkichi 12 1975 On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields. Zbl 0285.12008Iwasawa, Kenkichi 216 1973 On the \(\mu\)-invariants of \(\mathbb Z_{\ell}\)-extensions. Zbl 0281.12005Iwasawa, Kenkichi 16 1973 Lectures on \(p\)-adic \(L\)-functions. Zbl 0236.12001Iwasawa, Kenkichi 107 1972 On the \(\mu\)-invariants of cyclotomic fields. Zbl 0253.12012Iwasawa, Kenkichi 1 1972 Skew-symmetric forms for number fields. Zbl 0219.12018Iwasawa, K. 1 1971 On \(p\)-adic \(L\)-functions. Zbl 0186.09201Iwasawa, Kenkichi 36 1969 On explicit formulas for the norm residue symbol. Zbl 0256.12013Iwasawa, Kenkichi 17 1968 Seminar on complex multiplication. Seminar held at the Institute for Advanced Study, Princeton, N.J., 1957–58. Zbl 0147.03902Borel, Armand; Chowla, Sarvadaman; Herz, C. S.; Iwasawa, K.; Serre, Jean-Pierre 28 1966 Computation of invariants in the theory of cyclotomic fields. Zbl 0141.04901Iwasawa, K.; Sims, C. C. 18 1966 A note on ideal class groups. Zbl 0139.28104Iwasawa, Kenkichi 17 1966 On some modules in the theory of cyclotomic fields. Zbl 0125.29207Iwasawa, K. 35 1964 On a certain analogy between algebraic number fields and function fields. Zbl 0121.04501Iwasawa, Kenkichi 1 1963 A class number formula for cyclotomic fields. Zbl 0125.02003Iwasawa, Kenkichi 35 1962 On local cyclotomic fields. Zbl 0100.26801Iwasawa, Kenkichi 2 1960 On \(\varGamma\)-extensions of algebraic number fields. Zbl 0089.02402Iwasawa, Kenkichi 67 1959 On the theory of cyclotomic fields. Zbl 0093.04403Iwasawa, Kenkichi 15 1959 On some properties of \(\Gamma\)-finite modules. Zbl 0202.33102Iwasawa, K. 8 1959 Sheaves for algebraic number fields. Zbl 0090.02903Iwasawa, Kenkichi 1 1959 On some invariants of cyclotomic fields. Zbl 0084.04101Iwasawa, Kenkichi 5 1958 A note on class numbers of algebraic number fields. Zbl 0074.03002Iwasawa, Kenkichi 98 1956 A note on the group of units of an algebraic number field. Zbl 0071.26504Iwasawa, Kenkichi 33 1956 On Galois groups of local fields. Zbl 0074.03101Iwasawa, Kenkichi 29 1955 On solvable extensions of algebraic number fields. Zbl 0051.26602Iwasawa, Kenkichi 35 1953 On the rings of valuation vectors. Zbl 0053.35603Iwasawa, Kenkichi 15 1953 A note on Kummer extensions. Zbl 0052.27105Iwasawa, Kenkichi 1 1953 Some properties of \((L-)\)groups. Zbl 0049.01601Iwasawa, Kenkichi 2 1952 Correction: On the paper “On the group of automorphisms of a function field”. (This journal, vol. 3 (1951), pp. 137-147). Zbl 0049.30801Iwasawa, Kenkichi; Tamagawa, Tsuneo 1 1952 Topological groups with invariant compact neighborhoods of the identity. Zbl 0044.01903Iwasawa, Kenkichi 22 1951 On the group of automorphisms of a function field. Zbl 0044.26901Iwasawa, Kenkichi; Tamagawa, Tsuneo 10 1951 On some types of topological groups. Zbl 0034.01803Iwasawa, Kenkichi 239 1949 Über nilpotente topologische Gruppen. I. Zbl 0063.02996Iwasawa, Kenkiti 3 1949 On linearly ordered groups. Zbl 0038.01301Iwasawa, Kenkichi 25 1948 On the structure of infinite M-groups. Zbl 0061.02504Iwasawa, Kenkiti 27 1943 Einige Sätze über freie Gruppen. Zbl 0061.02505Iwasawa, Kenkiti 14 1943 On the structure of conditionally complete lattice-groups. Zbl 0061.03408Iwasawa, Kenkichi 8 1943 Über die endlichen Gruppen und die Verbände ihrer Untergruppen. Zbl 0061.02503Iwasawa, Kenkiti 63 1941 Über die Struktur der endlichen Gruppen, deren echte Untergruppen sämtlich nilpotent sind. JFM 67.0071.05Iwasawa, K. 21 1941 Über die Struktur der endlichen Gruppen, deren echte Untergruppen sämtlich nilpotent sind. Zbl 0025.10104Iwasawa, Kenkiti 7 1941 Über die Einfachheit der speziellen projektiven Gruppen. Zbl 0025.01101Iwasawa, Kenkiti 7 1941 Über die Einfachheit der speziellen projektiven Gruppen. JFM 67.0075.04Iwasawa, K. 1 1941 all cited Publications top 5 cited Publications all top 5 Cited by 1,015 Authors 19 Ichimura, Humio 16 Horie, Kuniaki 15 Hofmann, Karl Heinrich 14 Nguyen Quang Do, Thong 11 Komatsu, Keiichi 11 Ozaki, Manabu 11 Shtern, Aleksandr Isaakovich 10 Greenberg, Ralph 10 Itoh, Tsuyoshi 10 Vostokov, Sergei Vladimirovich 9 Fukuda, Takashi 9 Movahhedi, Abbas 9 Wu, Ta-Sun 8 Kim, Minsoo 8 Madan, Manohar L. 7 Gillard, Roland 7 Hu, Su 7 Jarden, Moshe 7 Jaulent, Jean-François 7 Kolster, Manfred 7 Mizusawa, Yasushi 7 Simsek, Yilmaz 7 Sumida-Takahashi, Hiroki 7 Villa-Salvador, Gabriel Daniel 7 Wingberg, Kay 6 Dummit, David S. 6 Goto, Morikuni 6 Gras, Georges 6 Greither, Cornelius 6 Kisilevsky, Hershy 6 Lang, Serge 6 Morisawa, Takayuki 6 Morris, Sidney A. 6 Moskowitz, Martin A. 6 Sinnott, Warren M. 5 de Giovanni, Francesco 5 Fujii, Satoshi 5 Harbater, David 5 Kubert, Daniel Sion 5 Lim, Meng Fai 5 Stroppel, Markus Johannes 5 Taya, Hisao 4 Agoh, Takashi 4 Bagley, R. W. 4 Berestovskiĭ, Valeriĭ Nikolaevich 4 Bödi, Richard 4 Bosbach, Bruno 4 Burness, Timothy C. 4 Coates, John H. 4 Dikranjan, Dikran N. 4 Gerth, Frank III 4 Greenleaf, Frederick P. 4 Horie, Mitsuko 4 Iwasawa, Kenkichi 4 Janko, Zvonimir 4 Kim, Jaemoon 4 Kleine, Sören 4 Masley, John Myron 4 Metsänkylä, Tauno 4 Mollin, Richard Anthony 4 Morishita, Masanori 4 Mouhib, Ali 4 Napolitani, Franco 4 Ono, Ken 4 Panchishkin, Alexei A. 4 Plaumann, Peter 4 Rubin, Karl Cooper 4 Schneider, Peter 4 Sharifi, Romyar T. 4 Stonehewer, Stewart Edward 4 Sun, Hae-Sang 4 Tsuji, Takae 4 Ueki, Jun 4 Wiles, Andrew John 3 Abels, Herbert 3 Aoki, Miho 3 Assim, Jilali 3 Benjamin, Elliot 3 Bond, Robert J. 3 Bruinier, Jan Hendrik 3 Coleman, Robert Frederick 3 Conversano, Annalisa 3 De Luca, Anna Valentina 3 Dixon, Martyn Russell 3 Endo, Akira 3 Fleckinger, Vincent 3 Freed, Alan David 3 Furuta, Yoshiomi 3 Girstmair, Kurt 3 Gold, Robert 3 Grosser, Siegfried K. 3 Harish-Chandra 3 Harris, Michael Howard 3 Hazod, Wilfried 3 Huppert, Bertram 3 İkeda, Kâzım İlhan 3 Johnson, Wells 3 Jorgenson, Jay Alan 3 Kida, Yuji 3 Kim, Taekyun ...and 915 more Authors all top 5 Cited in 187 Serials 146 Journal of Number Theory 57 Journal of Algebra 52 Inventiones Mathematicae 45 Transactions of the American Mathematical Society 42 Proceedings of the American Mathematical Society 41 Archiv der Mathematik 41 Mathematische Zeitschrift 36 Mathematische Annalen 29 Compositio Mathematica 28 Manuscripta Mathematica 28 Proceedings of the Japan Academy. Series A 27 Tohoku Mathematical Journal. Second Series 22 Nagoya Mathematical Journal 21 Annales de l’Institut Fourier 19 Journal de Théorie des Nombres de Bordeaux 16 Communications in Algebra 14 Journal of Mathematical Physics 14 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 14 International Journal of Number Theory 13 Mathematics of Computation 12 Israel Journal of Mathematics 12 Advances in Mathematics 12 Monatshefte für Mathematik 11 Journal of Pure and Applied Algebra 11 Tokyo Journal of Mathematics 10 Journal of Soviet Mathematics 10 Russian Journal of Mathematical Physics 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Bulletin de la Société Mathématique de France 9 Rendiconti del Seminario Matematico della Università di Padova 9 Semigroup Forum 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Mathematika 8 Topology and its Applications 8 Journal of Mathematical Sciences (New York) 8 Annales Mathématiques du Québec 7 Acta Mathematica 6 Duke Mathematical Journal 6 Journal of the Mathematical Society of Japan 6 Journal für die Reine und Angewandte Mathematik 6 Vestnik St. Petersburg University. Mathematics 6 Documenta Mathematica 6 Bulletin of the American Mathematical Society 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Kodai Mathematical Journal 5 Mathematische Nachrichten 5 Siberian Mathematical Journal 5 Journal of Group Theory 5 Acta Mathematica Sinica. English Series 4 Bulletin of the Australian Mathematical Society 4 Communications in Mathematical Physics 4 Mathematical Notes 4 Czechoslovak Mathematical Journal 4 Functiones et Approximatio. Commentarii Mathematici 4 Journal of Functional Analysis 4 Osaka Journal of Mathematics 4 Ricerche di Matematica 4 \(K\)-Theory 4 Journal of Algebraic Geometry 4 Annals of Mathematics. Second Series 4 Journal of the Australian Mathematical Society 4 Proceedings of the Japan Academy 4 Bulletin de la Société Mathématique de France. Supplément. Mémoires 3 Computers & Mathematics with Applications 3 Rocky Mountain Journal of Mathematics 3 Applied Mathematics and Computation 3 Geometriae Dedicata 3 Journal of Combinatorial Theory. Series A 3 Mathematica Slovaca 3 Results in Mathematics 3 Expositiones Mathematicae 3 Experimental Mathematics 3 St. Petersburg Mathematical Journal 3 Transformation Groups 3 The Ramanujan Journal 3 LMS Journal of Computation and Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of \(K\)-Theory 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Acta Mechanica 2 Periodica Mathematica Hungarica 2 Ukrainian Mathematical Journal 2 The Mathematical Intelligencer 2 Acta Arithmetica 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Glasgow Mathematical Journal 2 Publications Mathématiques 2 Journal of Geometry 2 The Journal of Symbolic Logic 2 Memoirs of the American Mathematical Society 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Ergodic Theory and Dynamical Systems 2 Acta Mathematica Hungarica 2 Annals of Pure and Applied Logic 2 Journal of the American Mathematical Society 2 Forum Mathematicum 2 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 2 Aequationes Mathematicae ...and 87 more Serials all top 5 Cited in 50 Fields 708 Number theory (11-XX) 170 Group theory and generalizations (20-XX) 157 Topological groups, Lie groups (22-XX) 112 Algebraic geometry (14-XX) 59 Field theory and polynomials (12-XX) 40 Manifolds and cell complexes (57-XX) 28 Order, lattices, ordered algebraic structures (06-XX) 25 Differential geometry (53-XX) 23 \(K\)-theory (19-XX) 23 Abstract harmonic analysis (43-XX) 23 General topology (54-XX) 17 Associative rings and algebras (16-XX) 17 Nonassociative rings and algebras (17-XX) 16 Mathematical logic and foundations (03-XX) 16 Commutative algebra (13-XX) 14 Functional analysis (46-XX) 14 Geometry (51-XX) 11 Special functions (33-XX) 11 Algebraic topology (55-XX) 10 Category theory; homological algebra (18-XX) 9 Operator theory (47-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Combinatorics (05-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Probability theory and stochastic processes (60-XX) 7 Measure and integration (28-XX) 5 History and biography (01-XX) 5 Ordinary differential equations (34-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functions of a complex variable (30-XX) 4 Quantum theory (81-XX) 3 General algebraic systems (08-XX) 3 Partial differential equations (35-XX) 3 Mechanics of deformable solids (74-XX) 3 Information and communication theory, circuits (94-XX) 2 Potential theory (31-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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