Edit Profile (opens in new tab) Fine, Nathan Jacob (b. 1916 d. 1994) Co-Author Distance Author ID: fine.nathan-j Published as: Fine, N. J.; Fine, Nathan J.; Fine, J. more...less External Links: MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 35 Publications since 1944, including 2 Books Biographic References: 1 Publication Co-Authors: 9 Co-Authors with 10 Joint Publications 184 Co-Co-Authors all top 5 Co-Authors 24 single-authored 3 Gillman, Leonard 1 Andrews, George Eyre 1 Feit, Walter 1 Harrop, Ronald 1 Herstein, Israel Nathan 1 Lambek, Joachim 1 Maserick, Peter Harrington 1 Niven, Ivan Morton 1 Schweigert, George Earl 1 Wilf, Herbert S. all top 5 Serials 5 Proceedings of the American Mathematical Society 4 American Mathematical Monthly 4 Transactions of the American Mathematical Society 3 Illinois Journal of Mathematics 3 Bulletin of the American Mathematical Society 2 The Journal of Symbolic Logic 2 Pacific Journal of Mathematics 2 Proceedings of the National Academy of Sciences of the United States of America 1 Journal of Mathematical Analysis and Applications 1 Mathematics Magazine 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Gazette des Mathématiciens 1 Tôhoku Mathematical Journal. Second Series 1 Discrete & Computational Geometry 1 Annals of Mathematics. Second Series 1 Mathematical Surveys and Monographs all top 5 Fields 9 Number theory (11-XX) 2 General topology (54-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 1,078 times in 1,018 Documents Cited by ▼ Year ▼ Uniqueness theorems for periodic functions. Zbl 0131.30203Fine, N. J.; Wilf, H. S. 224 1965 On the Walsh functions. Zbl 0036.03604Fine, N. J. 209 1949 Binomial coefficients modulo a prime. Zbl 0030.11102Fine, N. J. 131 1947 Basic hypergeometric series and applications. With a foreword by George E. Andrews. Zbl 0647.05004Fine, Nathan J. 121 1988 Cesàro summability of Walsh-Fourier series. Zbl 0065.05303Fine, N. J. 64 1955 Rings of quotients of rings of functions. Zbl 0143.35704Fine, N. J.; Gillman, L.; Lambek, J. 51 1966 The generalized Walsh functions. Zbl 0041.03002Fine, N. J. 34 1950 Extension of continuous functions in \(\beta N\). Zbl 0161.42203Fine, J.; Gillman, L. 34 1960 The probability that a matrix be nilpotent. Zbl 0081.01504Fine, N. J.; Herstein, I. N. 33 1958 On the group of homeomorphisms of an arc. Zbl 0066.41305Fine, N. J.; Schweigert, G. E. 32 1955 Remote points in \(\beta \mathbb R\). Zbl 0118.17802Fine, N. J.; Gillman, L. 26 1962 Pairs of commuting matrices over a finite field. Zbl 0097.00702Feit, Walter; Fine, N. J. 24 1960 Some new results on partitions. Zbl 0031.34801Fine, Nathan J. 19 1948 The distribution of the sum of digits \(\pmod p\). Zbl 0148.02005Fine, N. J. 13 1965 Fourier-Stieltjes series of Walsh functions. Zbl 0079.09302Fine, N. J. 11 1957 On the simplex of completely monotonic functions on a commutative semigroup. Zbl 0194.44201Fine, N. J.; Maserick, P. H. 7 1970 On a system of modular functions connected with the Ramanujan identities. Zbl 0073.02904Fine, N. J. 7 1956 The jeep problem. Zbl 0030.00402Fine, J. 6 1947 Note on the Hurwitz zeta-function. Zbl 0043.07802Fine, N. J. 6 1951 On rational triangles. Zbl 0341.10016Fine, N. J. 5 1976 On a question of Ayoub, Chowla and Walum concerning character sums. Zbl 0227.10027Fine, N. J. 5 1970 Uniformization of linear arrays. Zbl 0089.24501Fine, N. J.; Harrop, R. 4 1957 Proof of a conjecture of Goodman. Zbl 0055.00402Fine, N. J. 3 1954 On groups of orthonormal functions. I, II. Zbl 0066.31202Fine, N. J. 3 1955 Look, Ma, no primes. Zbl 0343.10001Fine, Nathan J. 2 1976 The probability that a determinant be congruent to a (mod m). Zbl 0060.29402Fine, N. J.; Niven, Ivan 2 1944 The Mayer-Vietoris and IC equations for convex polytopes. Zbl 0817.52015Fine, J. 1 1995 Classes of periodic sequences. Zbl 0080.01101Fine, N. J. 1 1958 On the asymptotic distribution of the elementary symmetric functions (mod p). Zbl 0039.03406Fine, N. J. 1 1950 The Mayer-Vietoris and IC equations for convex polytopes. Zbl 0817.52015Fine, J. 1 1995 Basic hypergeometric series and applications. With a foreword by George E. Andrews. Zbl 0647.05004Fine, Nathan J. 121 1988 On rational triangles. Zbl 0341.10016Fine, N. J. 5 1976 Look, Ma, no primes. Zbl 0343.10001Fine, Nathan J. 2 1976 On the simplex of completely monotonic functions on a commutative semigroup. Zbl 0194.44201Fine, N. J.; Maserick, P. H. 7 1970 On a question of Ayoub, Chowla and Walum concerning character sums. Zbl 0227.10027Fine, N. J. 5 1970 Rings of quotients of rings of functions. Zbl 0143.35704Fine, N. J.; Gillman, L.; Lambek, J. 51 1966 Uniqueness theorems for periodic functions. Zbl 0131.30203Fine, N. J.; Wilf, H. S. 224 1965 The distribution of the sum of digits \(\pmod p\). Zbl 0148.02005Fine, N. J. 13 1965 Remote points in \(\beta \mathbb R\). Zbl 0118.17802Fine, N. J.; Gillman, L. 26 1962 Extension of continuous functions in \(\beta N\). Zbl 0161.42203Fine, J.; Gillman, L. 34 1960 Pairs of commuting matrices over a finite field. Zbl 0097.00702Feit, Walter; Fine, N. J. 24 1960 The probability that a matrix be nilpotent. Zbl 0081.01504Fine, N. J.; Herstein, I. N. 33 1958 Classes of periodic sequences. Zbl 0080.01101Fine, N. J. 1 1958 Fourier-Stieltjes series of Walsh functions. Zbl 0079.09302Fine, N. J. 11 1957 Uniformization of linear arrays. Zbl 0089.24501Fine, N. J.; Harrop, R. 4 1957 On a system of modular functions connected with the Ramanujan identities. Zbl 0073.02904Fine, N. J. 7 1956 Cesàro summability of Walsh-Fourier series. Zbl 0065.05303Fine, N. J. 64 1955 On the group of homeomorphisms of an arc. Zbl 0066.41305Fine, N. J.; Schweigert, G. E. 32 1955 On groups of orthonormal functions. I, II. Zbl 0066.31202Fine, N. J. 3 1955 Proof of a conjecture of Goodman. Zbl 0055.00402Fine, N. J. 3 1954 Note on the Hurwitz zeta-function. Zbl 0043.07802Fine, N. J. 6 1951 The generalized Walsh functions. Zbl 0041.03002Fine, N. J. 34 1950 On the asymptotic distribution of the elementary symmetric functions (mod p). Zbl 0039.03406Fine, N. J. 1 1950 On the Walsh functions. Zbl 0036.03604Fine, N. J. 209 1949 Some new results on partitions. Zbl 0031.34801Fine, Nathan J. 19 1948 Binomial coefficients modulo a prime. Zbl 0030.11102Fine, N. J. 131 1947 The jeep problem. Zbl 0030.00402Fine, J. 6 1947 The probability that a determinant be congruent to a (mod m). Zbl 0060.29402Fine, N. J.; Niven, Ivan 2 1944 all cited Publications top 5 cited Publications all top 5 Cited by 1,106 Authors 22 Andrews, George Eyre 22 Gát, György 17 Goginava, Ushangi 13 Blanchet-Sadri, Francine 12 Dow, Alan S. 12 Tephnadze, George 12 Wade, William R. 12 Weisz, Ferenc 10 Radoszewski, Jakub 9 Gawrychowski, Paweł 9 Hager, Anthony W. 9 Mignosi, Filippo 9 Restivo, Antonio 9 Simpson, Jamie 8 Kociumaka, Tomasz 8 Móricz, Ferenc 8 Rytter, Wojciech 8 Schipp, Ferenc Schipp 8 Smyth, William F. 8 Tsagareĭshvili, Vakhtang Shalvivich 8 Waleń, Tomasz 7 de Luca, Aldo 7 Gogoladze, Leri Davidovich 7 Seki, Shinnosuke 7 Watari, Chinami 7 Yee, Ae Ja 6 Blyth, William F. 6 Duval, Jean-Pierre 6 Harju, Tero 6 Holub, Štěpán 6 Kari, Lila 6 Magill, Kenneth D. jun. 6 Nowotka, Dirk 6 Ono, Ken 6 Persson, Lars-Erik 6 Rhoades, Robert C. 6 Skriganov, Maxim M. 6 Sloss, Bruce Graydon 6 van Douwen, Eric K. 6 van Mill, Jan 6 Zakharov, Valeriĭ Konstantinovich 5 Azarpanah, Fariborz 5 Charalampopoulos, Panagiotis 5 Chen, William Yong-Chuan 5 Comfort, William Wistar 5 Dick, Josef 5 Folsom, Amanda L. 5 Fulman, Jason E. 5 Maserick, Peter Harrington 5 Morettin, Pedro Alberto 5 Moshe, Yossi 5 Shallit, Jeffrey Outlaw 5 Tijdeman, Robert 5 Zamboni, Luca Quardo 4 Amir, Amihood 4 Bespalov, Mikhaĭl Sergeevich 4 Breslauer, Dany 4 Butzer, Paul Leo 4 Czeizler, Elena 4 Fridli, Sándor 4 Ghodadra, Bhikha Lila 4 Kim, Byungchan 4 Liedl, Roman 4 Lovejoy, Jeremy 4 Mantaci, Sabrina 4 Martínez, Jorge L. 4 McGovern, Warren Wm. 4 Mori, Takakazu 4 Nagy, Károly 4 Negrepontis, Stylianos 4 Pak, Igor 4 Pissis, Solon P. 4 Rosone, Giovanna 4 Sezer, Müfit 4 Shur, Arseny M. 4 Thuswaldner, Jörg Maximilian 4 Yano, Shigeki 3 Alladi, Krishnaswami 3 Allouche, Jean-Paul Simon 3 Apostolico, Alberto 3 Bannai, Hideo 3 Berndt, Bruce Carl 3 Berthé, Valérie 3 Boche, Holger 3 Bruyère, Véronique 3 Cagareishvili, Giorgi 3 Chen, Bin 3 Chen, Chang-Pao 3 Choffrut, Christian 3 Cooper, Shaun 3 Cui, Jinchuan 3 Cyr, Van 3 Dömösi, Pál 3 Endow, Yasushi 3 Episkoposian, Sergo A. 3 Episkoposyan, S. A. 3 Franek, Frantisek 3 Gabric, Daniel 3 Galil, Zvi 3 Garvan, Frank G. ...and 1,006 more Authors all top 5 Cited in 256 Serials 72 Theoretical Computer Science 34 Topology and its Applications 33 Proceedings of the American Mathematical Society 28 The Ramanujan Journal 25 Transactions of the American Mathematical Society 25 Acta Mathematica Hungarica 20 Analysis Mathematica 20 Discrete Mathematics 19 Journal of Algebra 19 Journal of Number Theory 18 Journal of Approximation Theory 17 Journal of Combinatorial Theory. Series A 17 Tôhoku Mathematical Journal. Second Series 16 Communications in Algebra 14 RAIRO. Theoretical Informatics and Applications 13 Journal of Mathematical Analysis and Applications 13 Advances in Mathematics 13 International Journal of Number Theory 12 Discrete Applied Mathematics 12 Linear Algebra and its Applications 11 Mathematical Notes 11 Rocky Mountain Journal of Mathematics 10 Journal of Mathematical Sciences (New York) 9 Mathematische Zeitschrift 9 European Journal of Combinatorics 9 Integers 8 Acta Mathematica Academiae Scientiarum Hungaricae 8 Bulletin of the Australian Mathematical Society 8 Periodica Mathematica Hungarica 8 Annals of Combinatorics 7 Israel Journal of Mathematics 7 Semigroup Forum 7 Finite Fields and their Applications 6 American Mathematical Monthly 6 Journal d’Analyse Mathématique 6 Journal of the Franklin Institute 6 Archiv der Mathematik 6 Journal of Computer and System Sciences 6 Journal of Pure and Applied Algebra 6 Mathematische Annalen 6 Siberian Mathematical Journal 6 Information and Computation 6 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 6 Journal of the Australian Mathematical Society 5 Monatshefte für Mathematik 5 Advances in Applied Mathematics 5 Algorithmica 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Positivity 5 Bulletin of the American Mathematical Society 4 Computers & Mathematics with Applications 4 Inventiones Mathematicae 4 Journal of Computational and Applied Mathematics 4 Rendiconti del Seminario Matematico della Università di Padova 4 Aequationes Mathematicae 4 The Electronic Journal of Combinatorics 4 Theory of Computing Systems 4 Journal of Group Theory 4 Acta Mathematica Sinica. English Series 4 Journal of Discrete Algorithms 4 Proceedings of the Steklov Institute of Mathematics 4 Research in Number Theory 3 Information Processing Letters 3 Ukrainian Mathematical Journal 3 Boletim da Sociedade Brasileira de Matemática 3 Glasgow Mathematical Journal 3 Journal of Soviet Mathematics 3 Mathematical Systems Theory 3 Mathematika 3 Acta Applicandae Mathematicae 3 Journal of Complexity 3 International Journal of Foundations of Computer Science 3 Designs, Codes and Cryptography 3 Stochastic Processes and their Applications 3 RAIRO. Informatique Théorique et Applications 3 Russian Mathematics 3 The Journal of Fourier Analysis and Applications 3 Abstract and Applied Analysis 3 Mediterranean Journal of Mathematics 3 Applied General Topology 3 RAIRO. Theoretical Informatics and Applications 3 Research in the Mathematical Sciences 2 Acta Informatica 2 Mathematische Semesterberichte 2 Acta Arithmetica 2 Acta Scientiarum Mathematicarum 2 Annales de l’Institut Fourier 2 Automatica 2 Commentationes Mathematicae Universitatis Carolinae 2 Illinois Journal of Mathematics 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of the London Mathematical Society. Second Series 2 Journal für die Reine und Angewandte Mathematik 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 SIAM Journal on Computing 2 Ergodic Theory and Dynamical Systems 2 Journal of Time Series Analysis 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Symbolic Computation 2 International Journal of Approximate Reasoning ...and 156 more Serials all top 5 Cited in 56 Fields 240 Number theory (11-XX) 220 Computer science (68-XX) 180 Harmonic analysis on Euclidean spaces (42-XX) 169 Combinatorics (05-XX) 93 General topology (54-XX) 66 Group theory and generalizations (20-XX) 63 Special functions (33-XX) 43 Commutative algebra (13-XX) 35 Associative rings and algebras (16-XX) 33 Probability theory and stochastic processes (60-XX) 32 Dynamical systems and ergodic theory (37-XX) 32 Abstract harmonic analysis (43-XX) 28 Order, lattices, ordered algebraic structures (06-XX) 27 Mathematical logic and foundations (03-XX) 26 Information and communication theory, circuits (94-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 24 Functional analysis (46-XX) 23 Numerical analysis (65-XX) 22 Algebraic geometry (14-XX) 20 Real functions (26-XX) 13 Measure and integration (28-XX) 12 Sequences, series, summability (40-XX) 12 Manifolds and cell complexes (57-XX) 11 Nonassociative rings and algebras (17-XX) 10 History and biography (01-XX) 10 Operations research, mathematical programming (90-XX) 9 Functions of a complex variable (30-XX) 8 Field theory and polynomials (12-XX) 7 Category theory; homological algebra (18-XX) 7 Approximations and expansions (41-XX) 7 Statistics (62-XX) 6 Partial differential equations (35-XX) 6 Difference and functional equations (39-XX) 6 Convex and discrete geometry (52-XX) 6 Algebraic topology (55-XX) 6 Quantum theory (81-XX) 6 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 4 Integral transforms, operational calculus (44-XX) 4 Operator theory (47-XX) 4 Geometry (51-XX) 4 Systems theory; control (93-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General algebraic systems (08-XX) 1 \(K\)-theory (19-XX) 1 Potential theory (31-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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