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Iwasawa, Kenkichi

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Author ID: iwasawa.kenkichi Recent zbMATH articles by "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

Publications by Year

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 0034.01803
Iwasawa, Kenkichi
239
1949
On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields. Zbl 0285.12008
Iwasawa, Kenkichi
216
1973
Lectures on \(p\)-adic \(L\)-functions. Zbl 0236.12001
Iwasawa, Kenkichi
107
1972
A note on class numbers of algebraic number fields. Zbl 0074.03002
Iwasawa, Kenkichi
98
1956
On \(\varGamma\)-extensions of algebraic number fields. Zbl 0089.02402
Iwasawa, Kenkichi
67
1959
Über die endlichen Gruppen und die Verbände ihrer Untergruppen. Zbl 0061.02503
Iwasawa, Kenkiti
63
1941
Local class field theory. Zbl 0604.12014
Iwasawa, Kenkichi
45
1986
Riemann-Hurwitz formula and p-adic Galois representations for number fields. Zbl 0468.12004
Iwasawa, Kenkichi
36
1981
On \(p\)-adic \(L\)-functions. Zbl 0186.09201
Iwasawa, Kenkichi
36
1969
On some modules in the theory of cyclotomic fields. Zbl 0125.29207
Iwasawa, K.
35
1964
A class number formula for cyclotomic fields. Zbl 0125.02003
Iwasawa, Kenkichi
35
1962
On solvable extensions of algebraic number fields. Zbl 0051.26602
Iwasawa, Kenkichi
35
1953
A note on the group of units of an algebraic number field. Zbl 0071.26504
Iwasawa, Kenkichi
33
1956
On Galois groups of local fields. Zbl 0074.03101
Iwasawa, Kenkichi
29
1955
Seminar on complex multiplication. Seminar held at the Institute for Advanced Study, Princeton, N.J., 1957–58. Zbl 0147.03902
Borel, Armand; Chowla, Sarvadaman; Herz, C. S.; Iwasawa, K.; Serre, Jean-Pierre
28
1966
On the structure of infinite M-groups. Zbl 0061.02504
Iwasawa, Kenkiti
27
1943
On linearly ordered groups. Zbl 0038.01301
Iwasawa, Kenkichi
25
1948
Topological groups with invariant compact neighborhoods of the identity. Zbl 0044.01903
Iwasawa, Kenkichi
22
1951
Über die Struktur der endlichen Gruppen, deren echte Untergruppen sämtlich nilpotent sind. JFM 67.0071.05
Iwasawa, K.
21
1941
On cohomology groups of units for \(Z_ p\)-extensions. Zbl 0525.12009
Iwasawa, Kenkichi
18
1983
Computation of invariants in the theory of cyclotomic fields. Zbl 0141.04901
Iwasawa, K.; Sims, C. C.
18
1966
On explicit formulas for the norm residue symbol. Zbl 0256.12013
Iwasawa, Kenkichi
17
1968
A note on ideal class groups. Zbl 0139.28104
Iwasawa, Kenkichi
17
1966
On the \(\mu\)-invariants of \(\mathbb Z_{\ell}\)-extensions. Zbl 0281.12005
Iwasawa, Kenkichi
16
1973
On the theory of cyclotomic fields. Zbl 0093.04403
Iwasawa, Kenkichi
15
1959
On the rings of valuation vectors. Zbl 0053.35603
Iwasawa, Kenkichi
15
1953
Einige Sätze über freie Gruppen. Zbl 0061.02505
Iwasawa, Kenkiti
14
1943
A note on capitulation problem for number fields. I, II. Zbl 0704.11047
Iwasawa, Kenkichi
12
1989
A note on Jacobi sums. Zbl 0324.12007
Iwasawa, Kenkichi
12
1975
Algebraic functions. Translated from the Japanese by Goro Kato. Zbl 0790.14017
Iwasawa, Kenkichi
11
1993
On the group of automorphisms of a function field. Zbl 0044.26901
Iwasawa, Kenkichi; Tamagawa, Tsuneo
10
1951
On some properties of \(\Gamma\)-finite modules. Zbl 0202.33102
Iwasawa, K.
8
1959
On the structure of conditionally complete lattice-groups. Zbl 0061.03408
Iwasawa, Kenkichi
8
1943
Über die Struktur der endlichen Gruppen, deren echte Untergruppen sämtlich nilpotent sind. Zbl 0025.10104
Iwasawa, Kenkiti
7
1941
Über die Einfachheit der speziellen projektiven Gruppen. Zbl 0025.01101
Iwasawa, Kenkiti
7
1941
Local class field theory. Transl. from the Japanese by A. A. Bel’skiĭ. Transl. ed. by B. B. Venkov. Zbl 0566.12005
Iwasawa, Kenkichi
5
1983
On some invariants of cyclotomic fields. Zbl 0084.04101
Iwasawa, Kenkichi
5
1958
Letter to J. Dieudonné. Zbl 0835.11002
Iwasawa, Kenkichi
4
1992
Some remarks on Hecke characters. Zbl 0364.12010
Iwasawa, Kenkichi
4
1977
Über nilpotente topologische Gruppen. I. Zbl 0063.02996
Iwasawa, Kenkiti
3
1949
On local cyclotomic fields. Zbl 0100.26801
Iwasawa, Kenkichi
2
1960
Some properties of \((L-)\)groups. Zbl 0049.01601
Iwasawa, Kenkichi
2
1952
A note on cyclotomic fields. Zbl 0342.12004
Iwasawa, Kenkichi
1
1976
On the \(\mu\)-invariants of cyclotomic fields. Zbl 0253.12012
Iwasawa, Kenkichi
1
1972
Skew-symmetric forms for number fields. Zbl 0219.12018
Iwasawa, K.
1
1971
On a certain analogy between algebraic number fields and function fields. Zbl 0121.04501
Iwasawa, Kenkichi
1
1963
Sheaves for algebraic number fields. Zbl 0090.02903
Iwasawa, Kenkichi
1
1959
A note on Kummer extensions. Zbl 0052.27105
Iwasawa, 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 0049.30801
Iwasawa, Kenkichi; Tamagawa, Tsuneo
1
1952
Über die Einfachheit der speziellen projektiven Gruppen. JFM 67.0075.04
Iwasawa, K.
1
1941
Algebraic functions. Translated from the Japanese by Goro Kato. Zbl 0790.14017
Iwasawa, Kenkichi
11
1993
Letter to J. Dieudonné. Zbl 0835.11002
Iwasawa, Kenkichi
4
1992
A note on capitulation problem for number fields. I, II. Zbl 0704.11047
Iwasawa, Kenkichi
12
1989
Local class field theory. Zbl 0604.12014
Iwasawa, Kenkichi
45
1986
On cohomology groups of units for \(Z_ p\)-extensions. Zbl 0525.12009
Iwasawa, Kenkichi
18
1983
Local class field theory. Transl. from the Japanese by A. A. Bel’skiĭ. Transl. ed. by B. B. Venkov. Zbl 0566.12005
Iwasawa, Kenkichi
5
1983
Riemann-Hurwitz formula and p-adic Galois representations for number fields. Zbl 0468.12004
Iwasawa, Kenkichi
36
1981
Some remarks on Hecke characters. Zbl 0364.12010
Iwasawa, Kenkichi
4
1977
A note on cyclotomic fields. Zbl 0342.12004
Iwasawa, Kenkichi
1
1976
A note on Jacobi sums. Zbl 0324.12007
Iwasawa, Kenkichi
12
1975
On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields. Zbl 0285.12008
Iwasawa, Kenkichi
216
1973
On the \(\mu\)-invariants of \(\mathbb Z_{\ell}\)-extensions. Zbl 0281.12005
Iwasawa, Kenkichi
16
1973
Lectures on \(p\)-adic \(L\)-functions. Zbl 0236.12001
Iwasawa, Kenkichi
107
1972
On the \(\mu\)-invariants of cyclotomic fields. Zbl 0253.12012
Iwasawa, Kenkichi
1
1972
Skew-symmetric forms for number fields. Zbl 0219.12018
Iwasawa, K.
1
1971
On \(p\)-adic \(L\)-functions. Zbl 0186.09201
Iwasawa, Kenkichi
36
1969
On explicit formulas for the norm residue symbol. Zbl 0256.12013
Iwasawa, Kenkichi
17
1968
Seminar on complex multiplication. Seminar held at the Institute for Advanced Study, Princeton, N.J., 1957–58. Zbl 0147.03902
Borel, Armand; Chowla, Sarvadaman; Herz, C. S.; Iwasawa, K.; Serre, Jean-Pierre
28
1966
Computation of invariants in the theory of cyclotomic fields. Zbl 0141.04901
Iwasawa, K.; Sims, C. C.
18
1966
A note on ideal class groups. Zbl 0139.28104
Iwasawa, Kenkichi
17
1966
On some modules in the theory of cyclotomic fields. Zbl 0125.29207
Iwasawa, K.
35
1964
On a certain analogy between algebraic number fields and function fields. Zbl 0121.04501
Iwasawa, Kenkichi
1
1963
A class number formula for cyclotomic fields. Zbl 0125.02003
Iwasawa, Kenkichi
35
1962
On local cyclotomic fields. Zbl 0100.26801
Iwasawa, Kenkichi
2
1960
On \(\varGamma\)-extensions of algebraic number fields. Zbl 0089.02402
Iwasawa, Kenkichi
67
1959
On the theory of cyclotomic fields. Zbl 0093.04403
Iwasawa, Kenkichi
15
1959
On some properties of \(\Gamma\)-finite modules. Zbl 0202.33102
Iwasawa, K.
8
1959
Sheaves for algebraic number fields. Zbl 0090.02903
Iwasawa, Kenkichi
1
1959
On some invariants of cyclotomic fields. Zbl 0084.04101
Iwasawa, Kenkichi
5
1958
A note on class numbers of algebraic number fields. Zbl 0074.03002
Iwasawa, Kenkichi
98
1956
A note on the group of units of an algebraic number field. Zbl 0071.26504
Iwasawa, Kenkichi
33
1956
On Galois groups of local fields. Zbl 0074.03101
Iwasawa, Kenkichi
29
1955
On solvable extensions of algebraic number fields. Zbl 0051.26602
Iwasawa, Kenkichi
35
1953
On the rings of valuation vectors. Zbl 0053.35603
Iwasawa, Kenkichi
15
1953
A note on Kummer extensions. Zbl 0052.27105
Iwasawa, Kenkichi
1
1953
Some properties of \((L-)\)groups. Zbl 0049.01601
Iwasawa, 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 0049.30801
Iwasawa, Kenkichi; Tamagawa, Tsuneo
1
1952
Topological groups with invariant compact neighborhoods of the identity. Zbl 0044.01903
Iwasawa, Kenkichi
22
1951
On the group of automorphisms of a function field. Zbl 0044.26901
Iwasawa, Kenkichi; Tamagawa, Tsuneo
10
1951
On some types of topological groups. Zbl 0034.01803
Iwasawa, Kenkichi
239
1949
Über nilpotente topologische Gruppen. I. Zbl 0063.02996
Iwasawa, Kenkiti
3
1949
On linearly ordered groups. Zbl 0038.01301
Iwasawa, Kenkichi
25
1948
On the structure of infinite M-groups. Zbl 0061.02504
Iwasawa, Kenkiti
27
1943
Einige Sätze über freie Gruppen. Zbl 0061.02505
Iwasawa, Kenkiti
14
1943
On the structure of conditionally complete lattice-groups. Zbl 0061.03408
Iwasawa, Kenkichi
8
1943
Über die endlichen Gruppen und die Verbände ihrer Untergruppen. Zbl 0061.02503
Iwasawa, Kenkiti
63
1941
Über die Struktur der endlichen Gruppen, deren echte Untergruppen sämtlich nilpotent sind. JFM 67.0071.05
Iwasawa, K.
21
1941
Über die Struktur der endlichen Gruppen, deren echte Untergruppen sämtlich nilpotent sind. Zbl 0025.10104
Iwasawa, Kenkiti
7
1941
Über die Einfachheit der speziellen projektiven Gruppen. Zbl 0025.01101
Iwasawa, Kenkiti
7
1941
Über die Einfachheit der speziellen projektiven Gruppen. JFM 67.0075.04
Iwasawa, K.
1
1941
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

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