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Dedekind, Richard

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Author ID: dedekind.richard Recent zbMATH articles by "Dedekind, Richard"
Published as: Dedekind, R.; Dedekind, Richard
External Links: MGP · Wikidata · GND · MacTutor
Documents Indexed: 63 Publications since 1853, including 31 Books
Biographic References: 81 Publications

Co-Authors

61 single-authored
2 Weber, Heinrich Martin

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 471 times in 405 Documents Cited by Year
Was sind und was sollen die Zahlen. JFM 36.0087.04
Dedekind, R.
65
1905
Ueber Gruppen, deren sämtliche Teiler Normalteiler sind. JFM 28.0129.03
Dedekind, R.
55
1897
On the dual group generated by three modules. JFM 31.0211.01
Dedekind, R.
40
1900
Stetigkeit und irrationale Zahlen. III. Aufl. JFM 36.0242.01
Dedekind, R.
26
1905
The theory of algebraic functions of one variable. JFM 14.0352.01
Dedekind, R.; Weber, H.
24
1882
Essays on the theory of numbers. I: Continuity and irrational numbers. II: The nature and meaning of numbers. Authorized translation by W.W.Beman. Zbl 0112.28101
Dedekind, R.
23
1963
On the decomposition of numbers by means of their greatest common divisors. JFM 28.0186.04
Dedekind, R.
21
1897
What are the meaning and the purpose of numbers? JFM 20.0049.05
Dedekind, Richard
19
1888
Gesammelte mathematische Werke. Bd. I. Herausgegeben von R. Fricke, E. Noether und Ø. Ore. JFM 56.0024.05
Dedekind, Richard
18
1930
On an Eulerian integral. ERAM 045.1239cj
Dedekind, Richard
16
1853
Gesammelte mathematische Werke. Bd. III. Herausgegeben von R. Fricke, E. Noether, Ø. Ore. JFM 58.0042.09
Dedekind, Richard
14
1932
Abriß einer Theorie der höhern Congruenzen in Bezug auf einen reellen Primzahl-Modulus. ERAM 054.1414cj
Dedekind, R.
14
1857
On the number of ideal classes in pure cubic number fields. JFM 30.0198.02
Dedekind, R.
13
1899
Essays on the theory of numbers. I. Continuity and irrational numbers. II. The nature and meaning of numbers. Authorized translation by W. W. Beman. JFM 32.0185.01
Dedekind, R.
10
1901
Über die Theorie der ganzen algebraischen Zahlen. Zbl 0124.02205
Dedekind, R.
9
1964
On the theory of the complex numbers constructed from the \(n\) principal units. JFM 17.0365.01
Dedekind, R.
9
1885
Theory of algebraic integers. Translated from the French by John Stillwell. Zbl 0863.11068
Dedekind, Richard
7
1996
Gesammelte mathematische Werke. Bd. II. Herausgegeben von E. Fricke, E. Noether, Ø. Ore. JFM 57.0036.01
Dedekind, Richard
7
1931
Was sind und was sollen die Zahlen? 2. Aufl. JFM 25.0115.05
Dedekind, Richard
7
1893
A letter to Mr. Borchardt on the theory of the elliptic modular functions. JFM 09.0353.03
Dedekind, R.
7
1877
Gesammelte mathematische Werke. Bd. 3. Hrsg. v. Robert Fricke, Emmy Noether und Øystein Ore. Zbl 0004.33701
Dedekind, Richard
6
1932
Über die Diskriminanten endlicher Körper. JFM 14.0059.02
Dedekind, R.
6
1882
Ueber die Begründung der Idealtheorie. JFM 26.0110.01
Dedekind, R.
5
1895
On the theory of algebraic integers. JFM 09.0126.01
Dedekind, R.
5
1877
Theory of algebraic functions of one variable. Transl. from the German and introduced by John Stillwell. Zbl 1248.14002
Dedekind, Richard; Weber, Heinrich
4
2012
Stetigkeit und irrationale Zahlen. 6. unveränd. Aufl. Zbl 0092.27802
Dedekind, Richard
4
1960
Gesammelte mathematische Werke. Bd. 2. Hrsg. von Robert Fricke, Emmy Noether und Øystein Ore. Zbl 0001.38501
Dedekind, Richard
4
1931
On the number of ideal classes in various orders of a field of finite degree. JFM 09.0130.01
Dedekind, Richard
4
1877
Zusatz zu der vorstehenden Abhandlung. ERAM 058.1539cj
Dedekind, R.
4
1861
What are numbers and what should they be? Revised edition and translated from the German by H. Pogorzelski, W. Ryan and W. Snyder. Zbl 0826.01037
Dedekind, Richard
3
1995
Elucidation of the theory of so called general complex quantities. JFM 19.0366.01
Dedekind, R.
3
1887
On the theory of algebraic integers. JFM 08.0098.01
Dedekind, R.
3
1877
Was sind und was sollen die Zahlen? 3. unveränd. Aufl. JFM 43.0235.06
Dedekind, Richard
2
1911
Über binäre trilineare Formen und die Komposition der binären quadratischen Formen. JFM 36.0160.01
Dedekind, R.
2
1905
On an arithmetical theorem of Gauss. JFM 24.0172.01
Dedekind, R.
2
1892
What are the meaning and the purpose of numbers? Reprint of the 1893 edition. Zbl 1257.01035
Dedekind, Richard
1
2012
Vorlesung über Differential- und Integralrechnung 1861/62. In einer Mitschrift von Heinrich Bechtold, bearb. von Max-Albert Knus und Winfried Scharlau. Zbl 0555.01010
Dedekind, Richard
1
1985
Was sind und was sollen die Zahlen? 9. unveränd. Aufl. Zbl 0111.05301
Dedekind, Richard
1
1961
What are the meaning and the purpose of numbers? Zbl 0088.04102
Dedekind, Richard
1
1960
Stetigkeit und irrationale Zahlen. Fünfte unveränderte Aufl. JFM 53.0182.06
Dedekind, Richard
1
1927
Stetigkeit und irrationale Zahlen. 4. unveränd. Aufl. JFM 43.0235.07
Dedekind, Richard
1
1912
Essays on the theory of numbers. I. Continuity and irrational numbers. II. The nature and meaning of numbers. Authorized translation by W. W. Beman. JFM 40.0220.02
Dedekind, R.
1
1909
Ueber eine Erweiterung des Symbols \((\mathfrak a,\mathfrak b)\) in der Theorie der Moduln. JFM 26.0110.02
Dedekind, R.
1
1895
Lectures on number theory by P. Lejeune Dirichlet. Third edition. First part. JFM 12.0120.01
Dedekind, R.
1
1879
Beweis für die Irreductibilität der Kreistheilungs-Gleichungen. ERAM 054.1415cj
Dedekind, R.
1
1857
Theory of algebraic functions of one variable. Transl. from the German and introduced by John Stillwell. Zbl 1248.14002
Dedekind, Richard; Weber, Heinrich
4
2012
What are the meaning and the purpose of numbers? Reprint of the 1893 edition. Zbl 1257.01035
Dedekind, Richard
1
2012
Theory of algebraic integers. Translated from the French by John Stillwell. Zbl 0863.11068
Dedekind, Richard
7
1996
What are numbers and what should they be? Revised edition and translated from the German by H. Pogorzelski, W. Ryan and W. Snyder. Zbl 0826.01037
Dedekind, Richard
3
1995
Vorlesung über Differential- und Integralrechnung 1861/62. In einer Mitschrift von Heinrich Bechtold, bearb. von Max-Albert Knus und Winfried Scharlau. Zbl 0555.01010
Dedekind, Richard
1
1985
Über die Theorie der ganzen algebraischen Zahlen. Zbl 0124.02205
Dedekind, R.
9
1964
Essays on the theory of numbers. I: Continuity and irrational numbers. II: The nature and meaning of numbers. Authorized translation by W.W.Beman. Zbl 0112.28101
Dedekind, R.
23
1963
Was sind und was sollen die Zahlen? 9. unveränd. Aufl. Zbl 0111.05301
Dedekind, Richard
1
1961
Stetigkeit und irrationale Zahlen. 6. unveränd. Aufl. Zbl 0092.27802
Dedekind, Richard
4
1960
What are the meaning and the purpose of numbers? Zbl 0088.04102
Dedekind, Richard
1
1960
Gesammelte mathematische Werke. Bd. III. Herausgegeben von R. Fricke, E. Noether, Ø. Ore. JFM 58.0042.09
Dedekind, Richard
14
1932
Gesammelte mathematische Werke. Bd. 3. Hrsg. v. Robert Fricke, Emmy Noether und Øystein Ore. Zbl 0004.33701
Dedekind, Richard
6
1932
Gesammelte mathematische Werke. Bd. II. Herausgegeben von E. Fricke, E. Noether, Ø. Ore. JFM 57.0036.01
Dedekind, Richard
7
1931
Gesammelte mathematische Werke. Bd. 2. Hrsg. von Robert Fricke, Emmy Noether und Øystein Ore. Zbl 0001.38501
Dedekind, Richard
4
1931
Gesammelte mathematische Werke. Bd. I. Herausgegeben von R. Fricke, E. Noether und Ø. Ore. JFM 56.0024.05
Dedekind, Richard
18
1930
Stetigkeit und irrationale Zahlen. Fünfte unveränderte Aufl. JFM 53.0182.06
Dedekind, Richard
1
1927
Stetigkeit und irrationale Zahlen. 4. unveränd. Aufl. JFM 43.0235.07
Dedekind, Richard
1
1912
Was sind und was sollen die Zahlen? 3. unveränd. Aufl. JFM 43.0235.06
Dedekind, Richard
2
1911
Essays on the theory of numbers. I. Continuity and irrational numbers. II. The nature and meaning of numbers. Authorized translation by W. W. Beman. JFM 40.0220.02
Dedekind, R.
1
1909
Was sind und was sollen die Zahlen. JFM 36.0087.04
Dedekind, R.
65
1905
Stetigkeit und irrationale Zahlen. III. Aufl. JFM 36.0242.01
Dedekind, R.
26
1905
Über binäre trilineare Formen und die Komposition der binären quadratischen Formen. JFM 36.0160.01
Dedekind, R.
2
1905
Essays on the theory of numbers. I. Continuity and irrational numbers. II. The nature and meaning of numbers. Authorized translation by W. W. Beman. JFM 32.0185.01
Dedekind, R.
10
1901
On the dual group generated by three modules. JFM 31.0211.01
Dedekind, R.
40
1900
On the number of ideal classes in pure cubic number fields. JFM 30.0198.02
Dedekind, R.
13
1899
Ueber Gruppen, deren sämtliche Teiler Normalteiler sind. JFM 28.0129.03
Dedekind, R.
55
1897
On the decomposition of numbers by means of their greatest common divisors. JFM 28.0186.04
Dedekind, R.
21
1897
Ueber die Begründung der Idealtheorie. JFM 26.0110.01
Dedekind, R.
5
1895
Ueber eine Erweiterung des Symbols \((\mathfrak a,\mathfrak b)\) in der Theorie der Moduln. JFM 26.0110.02
Dedekind, R.
1
1895
Was sind und was sollen die Zahlen? 2. Aufl. JFM 25.0115.05
Dedekind, Richard
7
1893
On an arithmetical theorem of Gauss. JFM 24.0172.01
Dedekind, R.
2
1892
What are the meaning and the purpose of numbers? JFM 20.0049.05
Dedekind, Richard
19
1888
Elucidation of the theory of so called general complex quantities. JFM 19.0366.01
Dedekind, R.
3
1887
On the theory of the complex numbers constructed from the \(n\) principal units. JFM 17.0365.01
Dedekind, R.
9
1885
The theory of algebraic functions of one variable. JFM 14.0352.01
Dedekind, R.; Weber, H.
24
1882
Über die Diskriminanten endlicher Körper. JFM 14.0059.02
Dedekind, R.
6
1882
Lectures on number theory by P. Lejeune Dirichlet. Third edition. First part. JFM 12.0120.01
Dedekind, R.
1
1879
A letter to Mr. Borchardt on the theory of the elliptic modular functions. JFM 09.0353.03
Dedekind, R.
7
1877
On the theory of algebraic integers. JFM 09.0126.01
Dedekind, R.
5
1877
On the number of ideal classes in various orders of a field of finite degree. JFM 09.0130.01
Dedekind, Richard
4
1877
On the theory of algebraic integers. JFM 08.0098.01
Dedekind, R.
3
1877
Zusatz zu der vorstehenden Abhandlung. ERAM 058.1539cj
Dedekind, R.
4
1861
Abriß einer Theorie der höhern Congruenzen in Bezug auf einen reellen Primzahl-Modulus. ERAM 054.1414cj
Dedekind, R.
14
1857
Beweis für die Irreductibilität der Kreistheilungs-Gleichungen. ERAM 054.1415cj
Dedekind, R.
1
1857
On an Eulerian integral. ERAM 045.1239cj
Dedekind, Richard
16
1853
all top 5

Cited by 481 Authors

8 Sieg, Wilfried
6 Bryce, Robert Aitken
6 Combarro, Elías F.
5 Ferreirós, José
5 Kurdachenko, Leonid Andriĭovych
5 Miranda, Pedro M. A.
4 Abhyankar, Shreeram Shankar
4 Hawkins, Thomas
4 Kanamori, Akihiro
4 Stout, Lawrence Neff
4 Xu, Xiaoquan
4 Zhang, Wenfeng
3 Avigad, Jeremy
3 Cossey, John
3 Elia, Michele
3 Gray, Jeremy John
3 Haffner, Emmylou
3 Heinzer, William J.
3 Otal, Javier
3 Qu, Haipeng
3 Schlimm, Dirk
3 Sherry, David M.
3 Song, Qiangwei
3 Traustason, Gunnar
2 Aouissi, Siham
2 Azizi, Abdelmalek
2 Bai, Pengfei
2 Bavula, Vladimir V.
2 Bergmann, Günter
2 Błaszczyk, Piotr
2 Borisov, Alekseĭ Vladimirovich
2 Bosbach, Bruno
2 Carlton, Eloise H.
2 Carmelo Interlando, J.
2 Cohn, Harvey
2 Czédli, Gábor
2 Dauben, Joseph Warren
2 Dixon, Martyn Russell
2 Dopico, Froilán M.
2 Duffus, Dwight
2 Edwards, Harold Mortimer jun.
2 Franchella, Miriam
2 Frankl, Péter
2 Freese, Ralph S.
2 Gabriëls, Jeannine J. M.
2 Guo, Xiuyun
2 Hamahata, Yoshinori
2 Höhle, Ulrich
2 Ismaili, Moulay Chrif
2 Kahle, Reinhard
2 Kappe, Luise-Charlotte
2 Katz, Mikhail G.
2 Kharat, Vilas S.
2 Klein-Barmen, Fritz
2 Klev, Ansten Mørch
2 Kung, Joseph P. S.
2 Legarreta, Leire
2 Lemmermeyer, Franz Josef
2 MacNeille, Holbrook Mann
2 Mamaev, Ivan Sergeevich
2 Moore, Gregory H.
2 Morris, Rebecca Lea
2 Ormerod, Elizabeth A.
2 Ringel, Claus Michael
2 Rodl, Vojtech
2 Scheffers, Georg Wilhelm
2 Shapiro, Stewart
2 Shepard, Roger N.
2 Soare, Robert I.
2 Subbotin, Igor Yakov
2 Thiagarajan, Pazhamaneri Subramaniam
2 Tortora, Antonio
2 Tota, Maria
2 Väänänen, Jouko Antero
2 Van Dooren, Paul M.
2 Walsh, Sean
2 Wang, Hao
2 Yap, Audrey
2 Zermelo, Ernst
2 Zhang, Qinhai
1 Abuhlail, Jawad Y.
1 Adeyeye, John Ola-Oluwa
1 Ageron, Pierre
1 Agrawal, Manindra
1 Ahmadi, Kamal
1 Akshay, S.
1 Alvarenga, Roberto
1 An, Lijian
1 Andersen, Henning Haahr
1 Arthur, Richard T. W.
1 Ascher, Kenneth
1 Ashley, Caleb
1 Aslanyan, Vahagn A.
1 Awodey, Steve
1 Balbes, Raymond
1 Barannyk, Anatoliy F.
1 Barner, Klaus
1 Barrucand, Pierre-A.
1 Bauer, Andrej
1 Bayro-Corrochano, Eduardo
...and 381 more Authors
all top 5

Cited in 140 Serials

22 Historia Mathematica
20 Mathematische Annalen
19 Archive for History of Exact Sciences
16 Journal of Algebra
15 Synthese
12 Journal of Number Theory
11 The Bulletin of Symbolic Logic
8 Communications in Algebra
7 Mathematische Semesterberichte
7 Ukrainian Mathematical Journal
7 Mathematische Zeitschrift
7 Theoretical Computer Science
7 The Review of Symbolic Logic
6 The Mathematical Intelligencer
6 Algebra Universalis
6 Archiv der Mathematik
6 Fuzzy Sets and Systems
6 Journal of Pure and Applied Algebra
5 Discrete Applied Mathematics
5 Proceedings of the American Mathematical Society
5 Proceedings of the Japan Academy. Series A
5 Annals of Pure and Applied Logic
5 Foundations of Science
4 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
4 Studia Logica
4 Transactions of the American Mathematical Society
4 History and Philosophy of Logic
4 Order
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Advances in Mathematics
3 Journal of Combinatorial Theory. Series A
3 Journal of Mathematical Psychology
3 Journal of Philosophical Logic
3 Notre Dame Journal of Formal Logic
3 Rendiconti del Seminario Matematico della Università di Padova
3 MSCS. Mathematical Structures in Computer Science
3 Linear Algebra and its Applications
3 Journal of Algebra and its Applications
2 Acta Mathematica Academiae Scientiarum Hungaricae
2 Discrete Mathematics
2 Israel Journal of Mathematics
2 Acta Mathematica
2 Algebra and Logic
2 Cahiers de Topologie et Géométrie Différentielle Catégoriques
2 Glasgow Mathematical Journal
2 Information Sciences
2 The Journal of Symbolic Logic
2 Journal of Symbolic Computation
2 International Journal of Algebra and Computation
2 Celestial Mechanics and Dynamical Astronomy
2 Applicable Algebra in Engineering, Communication and Computing
2 Applied Categorical Structures
2 Journal of Mathematical Sciences (New York)
2 Mathematical Logic Quarterly (MLQ)
2 Erkenntnis
2 Regular and Chaotic Dynamics
2 Central European Journal of Mathematics
2 International Journal of Number Theory
2 Logica Universalis
2 International Journal of Group Theory
1 Acta Informatica
1 Artificial Intelligence
1 Archiv für Mathematische Logik und Grundlagenforschung
1 Bulletin of the Australian Mathematical Society
1 Centaurus
1 Communications in Mathematical Physics
1 International Journal of General Systems
1 International Journal of Mathematical Education in Science and Technology
1 Indian Journal of Pure & Applied Mathematics
1 International Journal of Theoretical Physics
1 Journal of Mathematical Analysis and Applications
1 Journal of the Mechanics and Physics of Solids
1 Linear and Multilinear Algebra
1 Reports on Mathematical Physics
1 Chaos, Solitons and Fractals
1 Mathematics Magazine
1 Science & Education
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Functiones et Approximatio. Commentarii Mathematici
1 Publications Mathématiques
1 International Journal of Mathematics and Mathematical Sciences
1 Inventiones Mathematicae
1 Journal of Computer and System Sciences
1 Journal of Graph Theory
1 Mathematische Nachrichten
1 Mathematica Slovaca
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quaestiones Mathematicae
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Semigroup Forum
1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
1 Topology and its Applications
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Applied Mathematics and Mechanics. (English Edition)
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematica Hungarica
...and 40 more Serials
all top 5

Cited in 49 Fields

112 Mathematical logic and foundations (03-XX)
99 History and biography (01-XX)
75 Group theory and generalizations (20-XX)
48 Number theory (11-XX)
47 Order, lattices, ordered algebraic structures (06-XX)
36 General and overarching topics; collections (00-XX)
21 Algebraic geometry (14-XX)
19 Computer science (68-XX)
18 Associative rings and algebras (16-XX)
17 Combinatorics (05-XX)
14 Commutative algebra (13-XX)
12 Category theory; homological algebra (18-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Real functions (26-XX)
10 General algebraic systems (08-XX)
10 Field theory and polynomials (12-XX)
10 General topology (54-XX)
8 Geometry (51-XX)
7 Nonassociative rings and algebras (17-XX)
6 Differential geometry (53-XX)
5 Topological groups, Lie groups (22-XX)
5 Measure and integration (28-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Ordinary differential equations (34-XX)
4 Quantum theory (81-XX)
4 Information and communication theory, circuits (94-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Manifolds and cell complexes (57-XX)
3 Mechanics of particles and systems (70-XX)
3 Fluid mechanics (76-XX)
3 Systems theory; control (93-XX)
2 Partial differential equations (35-XX)
2 Convex and discrete geometry (52-XX)
2 Probability theory and stochastic processes (60-XX)
2 Numerical analysis (65-XX)
2 Mechanics of deformable solids (74-XX)
2 Optics, electromagnetic theory (78-XX)
2 Operations research, mathematical programming (90-XX)
2 Mathematics education (97-XX)
1 \(K\)-theory (19-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

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