Edit Profile (opens in new tab) Ireland, Kenneth F. Co-Author Distance Author ID: ireland.kenneth-f Published as: Ireland, Kenneth; Ireland, K. F.; Ireland, Kenneth F.; Ireland, K. more...less 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 Co-Authors 1 single-authored 4 Rosen, Michael I. 1 Parshin, Alekseĭ Nikolaevich 1 Small, Robert D. Serials 2 Graduate Texts in Mathematics 1 Mathematics of Computation 1 American Journal of Mathematics 1 Canadian Mathematical Bulletin Fields 6 Number theory (11-XX) 3 Algebraic geometry (14-XX) 2 Field theory and polynomials (12-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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