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Author ID: iwasawa.kenkichi Recent zbMATH articles by "Iwasawa, Kenkichi"
Published as: Iwasawa, Kenkichi; Iwasawa, K.; Iwasawa, Kenkiti
External Links: MacTutor · MGP · Wikidata · GND · IdRef
Documents Indexed: 62 Publications since 1941, including 9 Books
2 Contributions as Editor
Biographic References: 9 Publications
Co-Authors: 9 Co-Authors with 7 Joint Publications
209 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 1,493 times in 1,246 Documents Cited by Year
On some types of topological groups. Zbl 0034.01803
Iwasawa, Kenkichi
252
1949
On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields. Zbl 0285.12008
Iwasawa, Kenkichi
234
1973
A note on class numbers of algebraic number fields. Zbl 0074.03002
Iwasawa, Kenkichi
106
1956
Lectures on \(p\)-adic \(L\)-functions. Zbl 0236.12001
Iwasawa, Kenkichi
103
1972
On \(\varGamma\)-extensions of algebraic number fields. Zbl 0089.02402
Iwasawa, Kenkichi
76
1959
Über die endlichen Gruppen und die Verbände ihrer Untergruppen. Zbl 0061.02503
Iwasawa, Kenkiti
65
1941
Local class field theory. Zbl 0604.12014
Iwasawa, Kenkichi
46
1986
Riemann-Hurwitz formula and p-adic Galois representations for number fields. Zbl 0468.12004
Iwasawa, Kenkichi
39
1981
On \(p\)-adic \(L\)-functions. Zbl 0186.09201
Iwasawa, Kenkichi
39
1969
On some modules in the theory of cyclotomic fields. Zbl 0125.29207
Iwasawa, K.
37
1964
On solvable extensions of algebraic number fields. Zbl 0051.26602
Iwasawa, Kenkichi
36
1953
A note on the group of units of an algebraic number field. Zbl 0071.26504
Iwasawa, Kenkichi
35
1956
A class number formula for cyclotomic fields. Zbl 0125.02003
Iwasawa, Kenkichi
35
1962
On Galois groups of local fields. Zbl 0074.03101
Iwasawa, Kenkichi
33
1955
On the structure of infinite M-groups. Zbl 0061.02504
Iwasawa, Kenkiti
31
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
24
1951
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
22
1966
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
19
1983
On explicit formulas for the norm residue symbol. Zbl 0256.12013
Iwasawa, Kenkichi
19
1968
Computation of invariants in the theory of cyclotomic fields. Zbl 0141.04901
Iwasawa, K.; Sims, C. C.
18
1966
On the rings of valuation vectors. Zbl 0053.35603
Iwasawa, Kenkichi
18
1953
A note on ideal class groups. Zbl 0139.28104
Iwasawa, Kenkichi
17
1966
On the theory of cyclotomic fields. Zbl 0093.04403
Iwasawa, Kenkichi
15
1959
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
13
1989
On the \(\mu\)-invariants of \(\mathbb Z_{\ell}\)-extensions. Zbl 0281.12005
Iwasawa, Kenkichi
13
1973
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.
9
1959
Algebraic functions. Translated from the Japanese by Goro Kato. Zbl 0790.14017
Iwasawa, Kenkichi
9
1993
Über die Einfachheit der speziellen projektiven Gruppen. Zbl 0025.01101
Iwasawa, Kenkiti
8
1941
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
6
1941
A note on Jacobi sums. Zbl 0324.12007
Iwasawa, Kenkichi
6
1975
On some invariants of cyclotomic fields. Zbl 0084.04101
Iwasawa, Kenkichi
5
1958
Local class field theory. Transl. from the Japanese by A. A. Bel’skiĭ. Transl. ed. by B. B. Venkov. (Локалная теория полей классов.) Zbl 0566.12005
Iwasawa, Kenkichi
5
1983
Über nilpotente topologische Gruppen. I. Zbl 0063.02996
Iwasawa, Kenkiti
3
1949
Letter to J. Dieudonné. Zbl 0835.11002
Iwasawa, Kenkichi
3
1992
Some remarks on Hecke characters. Zbl 0364.12010
Iwasawa, Kenkichi
3
1977
Some properties of \((L-)\)groups. Zbl 0049.01601
Iwasawa, Kenkichi
2
1952
On local cyclotomic fields. Zbl 0100.26801
Iwasawa, Kenkichi
2
1960
A note on Kummer extensions. Zbl 0052.27105
Iwasawa, Kenkichi
2
1953
A note on cyclotomic fields. Zbl 0342.12004
Iwasawa, Kenkichi
1
1976
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
Sheaves for algebraic number fields. Zbl 0090.02903
Iwasawa, Kenkichi
1
1959
On a certain analogy between algebraic number fields and function fields. Zbl 0121.04501
Iwasawa, Kenkichi
1
1963
Skew-symmetric forms for number fields. Zbl 0219.12018
Iwasawa, K.
1
1971
Über die Einfachheit der speziellen projektiven Gruppen. JFM 67.0075.04
Iwasawa, K.
1
1941
On the \(\mu\)-invariants of cyclotomic fields. Zbl 0253.12012
Iwasawa, Kenkichi
1
1972
Algebraic functions. Translated from the Japanese by Goro Kato. Zbl 0790.14017
Iwasawa, Kenkichi
9
1993
Letter to J. Dieudonné. Zbl 0835.11002
Iwasawa, Kenkichi
3
1992
A note on capitulation problem for number fields. I, II. Zbl 0704.11047
Iwasawa, Kenkichi
13
1989
Local class field theory. Zbl 0604.12014
Iwasawa, Kenkichi
46
1986
On cohomology groups of units for \(Z_ p\)-extensions. Zbl 0525.12009
Iwasawa, Kenkichi
19
1983
Local class field theory. Transl. from the Japanese by A. A. Bel’skiĭ. Transl. ed. by B. B. Venkov. (Локалная теория полей классов.) Zbl 0566.12005
Iwasawa, Kenkichi
5
1983
Riemann-Hurwitz formula and p-adic Galois representations for number fields. Zbl 0468.12004
Iwasawa, Kenkichi
39
1981
Some remarks on Hecke characters. Zbl 0364.12010
Iwasawa, Kenkichi
3
1977
A note on cyclotomic fields. Zbl 0342.12004
Iwasawa, Kenkichi
1
1976
A note on Jacobi sums. Zbl 0324.12007
Iwasawa, Kenkichi
6
1975
On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields. Zbl 0285.12008
Iwasawa, Kenkichi
234
1973
On the \(\mu\)-invariants of \(\mathbb Z_{\ell}\)-extensions. Zbl 0281.12005
Iwasawa, Kenkichi
13
1973
Lectures on \(p\)-adic \(L\)-functions. Zbl 0236.12001
Iwasawa, Kenkichi
103
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
39
1969
On explicit formulas for the norm residue symbol. Zbl 0256.12013
Iwasawa, Kenkichi
19
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
22
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.
37
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
76
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.
9
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
106
1956
A note on the group of units of an algebraic number field. Zbl 0071.26504
Iwasawa, Kenkichi
35
1956
On Galois groups of local fields. Zbl 0074.03101
Iwasawa, Kenkichi
33
1955
On solvable extensions of algebraic number fields. Zbl 0051.26602
Iwasawa, Kenkichi
36
1953
On the rings of valuation vectors. Zbl 0053.35603
Iwasawa, Kenkichi
18
1953
A note on Kummer extensions. Zbl 0052.27105
Iwasawa, Kenkichi
2
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
24
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
252
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
31
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
65
1941
Über die Struktur der endlichen Gruppen, deren echte Untergruppen sämtlich nilpotent sind. JFM 67.0071.05
Iwasawa, K.
21
1941
Über die Einfachheit der speziellen projektiven Gruppen. Zbl 0025.01101
Iwasawa, Kenkiti
8
1941
Über die Struktur der endlichen Gruppen, deren echte Untergruppen sämtlich nilpotent sind. Zbl 0025.10104
Iwasawa, Kenkiti
6
1941
Über die Einfachheit der speziellen projektiven Gruppen. JFM 67.0075.04
Iwasawa, K.
1
1941
all top 5

Cited by 1,038 Authors

20 Ichimura, Humio
16 Horie, Kuniaki
15 Hofmann, Karl Heinrich
14 Nguyen Quang Do, Thong
11 Greenberg, Ralph
11 Itoh, Tsuyoshi
11 Komatsu, Keiichi
11 Ozaki, Manabu
11 Shtern, Aleksandr Isaakovich
10 Lim, Meng Fai
10 Vostokov, Sergeĭ Vladimirovich
9 Fukuda, Takashi
9 Mizusawa, Yasushi
9 Movahhedi, Abbas
9 Wu, Ta-Sun
8 Kim, Minsoo
8 Madan, Manohar L.
8 Sumida-Takahashi, Hiroki
7 Gillard, Roland
7 Greither, Cornelius
7 Hu, Su
7 Jarden, Moshe
7 Jaulent, Jean-François
7 Kolster, Manfred
7 Simsek, Yilmaz
7 Villa-Salvador, Gabriel Daniel
7 Wingberg, Kay
6 Coates, John H.
6 Dummit, David S.
6 Fujii, Satoshi
6 Goto, Morikuni
6 Gras, Georges
6 Harbater, David
6 Lang, Serge
6 Morisawa, Takayuki
6 Morris, Sidney A.
6 Moskowitz, Martin A.
6 Sinnott, Warren M.
5 de Giovanni, Francesco
5 Freed, Alan David
5 Kleine, Sören
5 Kubert, Daniel Sion
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 Dikranjan, Dikran N.
4 Gerth, Frank III
4 Greenleaf, Frederick P.
4 Horie, Mitsuko
4 İkeda, Kâzım İlhan
4 Iwasawa, Kenkichi
4 Janko, Zvonimir
4 Kim, Jaemoon
4 Kurihara, Masato
4 Lee, Dong Hoon
4 Metsänkylä, Tauno
4 Mollin, Richard Anthony
4 Morishita, Masanori
4 Mouhib, Ali
4 Napolitani, Franco
4 Ohshita, Tatsuya
4 Ono, Ken
4 Panchishkin, Alexei A.
4 Plaumann, Peter
4 Rubin, Karl Cooper
4 Schmidt, Roland
4 Schneider, Peter
4 Seo, Soogil
4 Sharifi, Romyar T.
4 Stonehewer, Stewart Edward
4 Sun, Hae-Sang
4 Tsuji, Takae
4 Ueki, Jun
4 Washington, Lawrence C.
4 Wiles, Andrew John
4 Yamamoto, Kota
3 Abels, Herbert
3 Assim, Jilali
3 Azizi, Abdelmalek
3 Bachmayr, Annette
3 Benjamin, Elliot
3 Bond, Robert J.
3 Bruinier, Jan Hendrik
3 Coleman, Robert Frederick
3 Conversano, Annalisa
3 De Luca, Anna Valentina
3 De Mari, Fausto
3 Dixon, Martyn Russell
3 Endo, Akira
3 Fleckinger, Vincent
3 Furuta, Yoshiomi
3 Girstmair, Kurt
3 Gold, Robert
3 Grosser, Siegfried K.
3 Harish-Chandra
...and 938 more Authors
all top 5

Cited in 211 Serials

134 Journal of Number Theory
56 Journal of Algebra
52 Inventiones Mathematicae
46 Transactions of the American Mathematical Society
42 Archiv der Mathematik
42 Mathematische Zeitschrift
42 Proceedings of the American Mathematical Society
36 Mathematische Annalen
29 Compositio Mathematica
28 Manuscripta Mathematica
28 Proceedings of the Japan Academy. Series A
27 Tohoku Mathematical Journal. Second Series
23 Journal de Théorie des Nombres de Bordeaux
22 Annales de l’Institut Fourier
22 Nagoya Mathematical Journal
19 International Journal of Number Theory
16 Communications in Algebra
15 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
14 Journal of Mathematical Physics
14 Mathematics of Computation
14 Advances in Mathematics
13 Tokyo Journal of Mathematics
12 Israel Journal of Mathematics
12 Journal of Pure and Applied Algebra
12 Monatshefte für Mathematik
10 Journal of Soviet Mathematics
10 Russian Journal of Mathematical Physics
9 Mathematical Proceedings of the Cambridge Philosophical Society
9 Bulletin de la Société Mathématique de France
9 Rendiconti del Seminario Matematico della Università di Padova
9 Semigroup Forum
9 Topology and its Applications
9 Annales Mathématiques du Québec
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Mathematika
8 Journal of Mathematical Sciences (New York)
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 Bulletin of the American Mathematical Society
5 Bulletin of the Australian Mathematical Society
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Kodai Mathematical Journal
5 Mathematische Nachrichten
5 Siberian Mathematical Journal
5 Documenta Mathematica
5 The Ramanujan Journal
5 Journal of Group Theory
5 Acta Mathematica Sinica. English Series
4 Communications in Mathematical Physics
4 Mathematical Notes
4 Czechoslovak Mathematical Journal
4 Functiones et Approximatio. Commentarii Mathematici
4 Journal of Functional Analysis
4 Mathematica Slovaca
4 Osaka Journal of Mathematics
4 Ricerche di Matematica
4 \(K\)-Theory
4 Journal of the Ramanujan Mathematical Society
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 Periodica Mathematica Hungarica
3 Rocky Mountain Journal of Mathematics
3 Acta Arithmetica
3 Applied Mathematics and Computation
3 Geometriae Dedicata
3 Glasgow Mathematical Journal
3 Journal of Combinatorial Theory. Series A
3 Results in Mathematics
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Expositiones Mathematicae
3 Experimental Mathematics
3 St. Petersburg Mathematical Journal
3 Annales Mathématiques Blaise Pascal
3 The New York Journal of Mathematics
3 Selecta Mathematica. New Series
3 Transformation Groups
3 LMS Journal of Computation and Mathematics
3 Journal of the European Mathematical Society (JEMS)
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of \(K\)-Theory
2 Acta Mathematica Academiae Scientiarum Hungaricae
2 Acta Mechanica
2 Computers & Mathematics with Applications
2 Ukrainian Mathematical Journal
2 The Mathematical Intelligencer
2 Algebra Universalis
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 Illinois Journal of Mathematics
2 Publications Mathématiques
2 Integral Equations and Operator Theory
2 Journal of Geometry
2 The Journal of Symbolic Logic
2 Memoirs of the American Mathematical Society
...and 111 more Serials
all top 5

Cited in 53 Fields

744 Number theory (11-XX)
181 Group theory and generalizations (20-XX)
169 Topological groups, Lie groups (22-XX)
117 Algebraic geometry (14-XX)
65 Field theory and polynomials (12-XX)
42 Manifolds and cell complexes (57-XX)
29 Order, lattices, ordered algebraic structures (06-XX)
28 Differential geometry (53-XX)
25 General topology (54-XX)
24 Abstract harmonic analysis (43-XX)
23 \(K\)-theory (19-XX)
20 Associative rings and algebras (16-XX)
19 Commutative algebra (13-XX)
18 Mathematical logic and foundations (03-XX)
18 Nonassociative rings and algebras (17-XX)
16 Functional analysis (46-XX)
14 Geometry (51-XX)
13 Category theory; homological algebra (18-XX)
12 Special functions (33-XX)
12 Algebraic topology (55-XX)
11 Dynamical systems and ergodic theory (37-XX)
10 Operator theory (47-XX)
9 Measure and integration (28-XX)
9 Probability theory and stochastic processes (60-XX)
8 Combinatorics (05-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Global analysis, analysis on manifolds (58-XX)
6 History and biography (01-XX)
6 Ordinary differential equations (34-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Functions of a complex variable (30-XX)
5 Mechanics of deformable solids (74-XX)
5 Quantum theory (81-XX)
4 General algebraic systems (08-XX)
4 Partial differential equations (35-XX)
3 Mechanics of particles and systems (70-XX)
3 Information and communication theory, circuits (94-XX)
2 Real functions (26-XX)
2 Potential theory (31-XX)
2 Approximations and expansions (41-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Numerical analysis (65-XX)
2 Optics, electromagnetic theory (78-XX)
2 Systems theory; control (93-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-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 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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