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Ireland, Kenneth F.

Author ID: ireland.kenneth-f Recent zbMATH articles by "Ireland, Kenneth F."
Published as: Ireland, Kenneth; Ireland, K. F.; Ireland, Kenneth F.; Ireland, K.
Documents Indexed: 7 Publications since 1967, including 4 Books
Biographic References: 1 Publication
Co-Authors: 2 Co-Authors with 5 Joint Publications
34 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

7 Publications have been cited 1,001 times in 1,000 Documents Cited by Year
A classical introduction to modern number theory. 2nd ed. Zbl 0712.11001
Ireland, Kenneth; Rosen, Michael
718
1990
A classical introduction to modern number theory. (Rev. and expand. version of 1972). Zbl 0482.10001
Ireland, Kenneth; Rosen, Michael
246
1982
Elements of number theory including an introduction to equations over finite fields. Zbl 0248.10002
Ireland, Kenneth; Rosen, Michael I.
21
1972
Class numbers of cyclotomic function fields. Zbl 0586.12009
Ireland, K. F.; Small, R. D.
5
1986
A note on Bernoulli-Goss polynomials. Zbl 0531.12012
Ireland, K.; Small, D.
4
1984
On the zeta function of an algebraic variety. Zbl 0197.47201
Ireland, K. F.
4
1967
A classical introduction to modern number theory. Transl. from the English by S. P. Demushkin. Translation edited and with a preface by A. N. Parshin. (Классическое введение в современную теорию чисел.) Zbl 0662.10001
Ireland, Kenneth F.; Rosen, Michael I.
3
1987
A classical introduction to modern number theory. 2nd ed. Zbl 0712.11001
Ireland, Kenneth; Rosen, Michael
718
1990
A classical introduction to modern number theory. Transl. from the English by S. P. Demushkin. Translation edited and with a preface by A. N. Parshin. (Классическое введение в современную теорию чисел.) Zbl 0662.10001
Ireland, Kenneth F.; Rosen, Michael I.
3
1987
Class numbers of cyclotomic function fields. Zbl 0586.12009
Ireland, K. F.; Small, R. D.
5
1986
A note on Bernoulli-Goss polynomials. Zbl 0531.12012
Ireland, K.; Small, D.
4
1984
A classical introduction to modern number theory. (Rev. and expand. version of 1972). Zbl 0482.10001
Ireland, Kenneth; Rosen, Michael
246
1982
Elements of number theory including an introduction to equations over finite fields. Zbl 0248.10002
Ireland, Kenneth; Rosen, Michael I.
21
1972
On the zeta function of an algebraic variety. Zbl 0197.47201
Ireland, K. F.
4
1967
all top 5

Cited by 1,273 Authors

31 Sun, Zhi-Wei
15 Edemskiĭ, Vladimir Anatol’evich
14 Sun, Zhihong
12 Zhang, Wenpeng
10 Yue, Qin
9 Barman, Rupam
9 Gao, Peng
9 Hong, Shaofang
9 Schmidt, Bernhard
9 Zhao, Liangyi
8 Du, Xiaoni
8 Leung, Ka Hin
8 Wu, Hai-Liang
7 Cao, Xiwang
7 Jones, Lenny K.
7
6 Aouissi, Siham
6 Azizi, Abdelmalek
6 Feng, Keqin
6 Helou, Charles
6 Ismaili, Moulay Chrif
6 Kalita, Gautam
6 Li, Chengju
6 Pan, Hao
6 Proskurin, Nikolaĭ Vital’evich
6 Zhu, Ling
5 Akbary, Amir
5 Berrizbeitia, Pedro
5 Cao, Wei
5 Coffey, Mark William
5 Feng, Tao
5 Khosravi, Behrooz
5 Korzhik, Vladimir P.
5 Mesnager, Sihem
5 Momen, Zahra
5 Pollack, Paul
5 Saikia, Neelam
5 Yang, Jing
5 Zhao, Junyong
5 Zhou, Sanming
4 Bach, Eric
4 Chen, Haimiao
4 Chipchakov, Ivan D.
4 Fan, Cuiling
4 Liu, Yan
4 Ma, Siu Lun
4 Moree, Pieter
4 Pott, Alexander
4 Skałba, Mariusz
4 Solé, Patrick
4 Sun, Qi
4 Tauraso, Roberto
4 Tu, Fang-Ting
4 Wang, Chen
4 Wang, Rong
4 Williams, Hugh Cowie
4 Zhang, Zhenxiang
4 Zhu, Chaoxi
3 Alkan, Emre
3 Arasu, Krishnasamy Thiru
3 Bae, Sunghan
3 Bagdasar, Ovidiu Dumitru
3 Ballico, Edoardo
3 Bayad, Abdelmejid
3 Cai, Jin-Yi
3 Cohen, Stephen D.
3 Deng, Yingpu
3 Elia, Michele
3 Evans, Ronald J.
3 Fitzgerald, Robert W.
3 Fouvry, Etienne
3 Fuselier, Jenny G.
3 Goodson, Heidi
3 Gorodetsky, Ofir
3 Harrington, Joshua
3 Heng, Ziling
3 Hu, Lei
3 Iiams, Joel E.
3 Kellner, Bernd C.
3 Koblitz, Neal I.
3 Langevin, Philippe
3 Lemmermeyer, Franz Josef
3 Li, Shuxing
3 Liu, Fengmei
3 Lv, Xingxing
3 Ma, Rong
3 Mattarei, Sandro
3 Mayer, Daniel C.
3 Merca, Mircea
3 Mihăilescu, Preda
3 Møller, Jesper Michael
3 Murakami, Hitoshi
3 Qian, Liqin
3 Sun, Hongbin
3 Swisher, Holly
3 Tan, Yin
3 Tang, Chunming
3 Thomson, Alison
3 Vázquez-Ávila, Adrián
3 Weilert, André
...and 1,173 more Authors
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Cited in 254 Serials

100 Journal of Number Theory
40 Finite Fields and their Applications
35 Proceedings of the American Mathematical Society
31 Designs, Codes and Cryptography
30 International Journal of Number Theory
22 Mathematics of Computation
22 Journal of Algebra
20 Discrete Mathematics
19 Journal of Combinatorial Theory. Series A
18 The Ramanujan Journal
13 Linear Algebra and its Applications
12 Bulletin of the Australian Mathematical Society
12 Rocky Mountain Journal of Mathematics
12 Proceedings of the Japan Academy. Series A
12 Integers
12 Cryptography and Communications
11 Mathematische Zeitschrift
11 Journal de Théorie des Nombres de Bordeaux
11 Acta Mathematica Sinica. English Series
9 Acta Arithmetica
9 Czechoslovak Mathematical Journal
9 Transactions of the American Mathematical Society
8 Archiv der Mathematik
8 Theoretical Computer Science
8 Journal of Mathematical Sciences (New York)
8 Journal of Mathematics
7 American Mathematical Monthly
7 Communications in Algebra
7 Communications in Mathematical Physics
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Journal of Pure and Applied Algebra
7 Applicable Algebra in Engineering, Communication and Computing
7 Journal of Combinatorial Designs
7 AIMS Mathematics
6 Journal of Mathematical Analysis and Applications
6 Journal of Symbolic Computation
6 Journal of Integer Sequences
6 Journal of Applied Mathematics and Computing
6 Advances in Mathematics of Communications
6 Science China. Mathematics
5 Discrete Applied Mathematics
5 Information Processing Letters
5 Mathematical Notes
5 Manuscripta Mathematica
5 Mathematische Annalen
5 Mathematika
5 Acta Mathematica Hungarica
5 Forum Mathematicum
5 Elemente der Mathematik
5 Bulletin of the American Mathematical Society. New Series
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Experimental Mathematics
5 Electronic Research Archive
4 The Mathematical Intelligencer
4 Colloquium Mathematicum
4 Duke Mathematical Journal
4 Inventiones Mathematicae
4 Journal of Combinatorial Theory. Series B
4 Graphs and Combinatorics
4 Journal of Cryptology
4 Journal of Algebraic Combinatorics
4 Turkish Journal of Mathematics
4 JP Journal of Algebra, Number Theory and Applications
4 Journal of Algebra and its Applications
4 Research in the Mathematical Sciences
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Compositio Mathematica
3 Functiones et Approximatio. Commentarii Mathematici
3 Journal of Computational and Applied Mathematics
3 Monatshefte für Mathematik
3 European Journal of Combinatorics
3 Bulletin of the Korean Mathematical Society
3 Journal of the American Mathematical Society
3 The Electronic Journal of Combinatorics
3 Journal of Inequalities and Applications
3 Geometry & Topology
3 Journal of Discrete Mathematical Sciences & Cryptography
3 Lobachevskii Journal of Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Mathematical Cryptology
3 Journal of Physics A: Mathematical and Theoretical
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Mathematics
3 Research in Number Theory
2 Archive for History of Exact Sciences
2 Computers & Mathematics with Applications
2 Israel Journal of Mathematics
2 Periodica Mathematica Hungarica
2 Advances in Mathematics
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Canadian Journal of Mathematics
2 Illinois Journal of Mathematics
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of the Korean Mathematical Society
2 Journal of the Mathematical Society of Japan
2 Journal für die Reine und Angewandte Mathematik
2 Journal of Statistical Planning and Inference
2 Mathematical Systems Theory
2 Michigan Mathematical Journal
2 Osaka Journal of Mathematics
...and 154 more Serials
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Cited in 51 Fields

733 Number theory (11-XX)
173 Combinatorics (05-XX)
125 Information and communication theory, circuits (94-XX)
86 Algebraic geometry (14-XX)
59 Special functions (33-XX)
55 Group theory and generalizations (20-XX)
37 Computer science (68-XX)
35 Field theory and polynomials (12-XX)
29 Manifolds and cell complexes (57-XX)
22 Linear and multilinear algebra; matrix theory (15-XX)
20 Commutative algebra (13-XX)
20 Quantum theory (81-XX)
14 Associative rings and algebras (16-XX)
13 Real functions (26-XX)
13 Dynamical systems and ergodic theory (37-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
12 Geometry (51-XX)
10 Order, lattices, ordered algebraic structures (06-XX)
9 Nonassociative rings and algebras (17-XX)
8 Topological groups, Lie groups (22-XX)
8 Numerical analysis (65-XX)
7 History and biography (01-XX)
7 Mathematical logic and foundations (03-XX)
6 Approximations and expansions (41-XX)
6 Operations research, mathematical programming (90-XX)
5 Functions of a complex variable (30-XX)
5 Convex and discrete geometry (52-XX)
5 Algebraic topology (55-XX)
5 Probability theory and stochastic processes (60-XX)
4 \(K\)-theory (19-XX)
4 Measure and integration (28-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Partial differential equations (35-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Category theory; homological algebra (18-XX)
2 Abstract harmonic analysis (43-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Statistics (62-XX)
2 Relativity and gravitational theory (83-XX)
2 Mathematics education (97-XX)
1 General and overarching topics; collections (00-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Functional analysis (46-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year