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Fine, Nathan Jacob

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Author ID: fine.nathan-j Recent zbMATH articles by "Fine, Nathan Jacob"
Published as: Fine, J.; Fine, N. J.; Fine, Nathan J.
External Links: MGP · Wikidata · GND · MacTutor
Documents Indexed: 34 Publications since 1944, including 2 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

28 Publications have been cited 963 times in 906 Documents Cited by Year
On the Walsh functions. Zbl 0036.03604
Fine, N. J.
181
1949
Uniqueness theorems for periodic functions. Zbl 0131.30203
Fine, N. J.; Wilf, H. S.
180
1965
Basic hypergeometric series and applications. With a foreword by George E. Andrews. Zbl 0647.05004
Fine, Nathan J.
140
1988
Binomial coefficients modulo a prime. Zbl 0030.11102
Fine, N. J.
110
1947
Cesàro summability of Walsh-Fourier series. Zbl 0065.05303
Fine, N. J.
54
1955
Rings of quotients of rings of functions. Zbl 0143.35704
Fine, N. J.; Gillman, L.; Lambek, J.
48
1966
The generalized Walsh functions. Zbl 0041.03002
Fine, N. J.
32
1950
On the group of homeomorphisms of an arc. Zbl 0066.41305
Fine, N. J.; Schweigert, G. E.
31
1955
Extension of continuous functions in \(\beta N\). Zbl 0161.42203
Fine, J.; Gillman, L.
30
1960
Remote points in \(\beta \mathbb R\). Zbl 0118.17802
Fine, N. J.; Gillman, L.
26
1962
The probability that a matrix be nilpotent. Zbl 0081.01504
Fine, N. J.; Herstein, I. N.
23
1958
Pairs of commuting matrices over a finite field. Zbl 0097.00702
Feit, Walter; Fine, N. J.
19
1960
Some new results on partitions. Zbl 0031.34801
Fine, Nathan J.
17
1948
The distribution of the sum of digits (mod \(p\)). Zbl 0148.02005
Fine, N. J.
14
1965
Fourier-Stieltjes series of Walsh functions. Zbl 0079.09302
Fine, N. J.
11
1957
On the simplex of completely monotonic functions on a commutative semigroup. Zbl 0194.44201
Fine, N. J.; Maserick, P. H.
7
1970
On a system of modular functions connected with the Ramanujan identities. Zbl 0073.02904
Fine, N. J.
7
1956
On a question of Ayoub, Chowla and Walum concerning character sums. Zbl 0227.10027
Fine, N. J.
5
1970
Note on the Hurwitz zeta-function. Zbl 0043.07802
Fine, N. J.
5
1951
On rational triangles. Zbl 0341.10016
Fine, N. J.
4
1976
Uniformization of linear arrays. Zbl 0089.24501
Fine, N. J.; Harrop, R.
4
1957
On groups of orthonormal functions. I, II. Zbl 0066.31202
Fine, N. J.
3
1955
Proof of a conjecture of Goodman. Zbl 0055.00402
Fine, N. J.
3
1954
The jeep problem. Zbl 0030.00402
Fine, J.
3
1947
Look, Ma, no primes. Zbl 0343.10001
Fine, Nathan J.
2
1976
The probability that a determinant be congruent to a (mod m). Zbl 0060.29402
Fine, N. J.; Niven, Ivan
2
1944
Classes of periodic sequences. Zbl 0080.01101
Fine, N. J.
1
1958
On the asymptotic distribution of the elementary symmetric functions (mod p). Zbl 0039.03406
Fine, N. J.
1
1950
Basic hypergeometric series and applications. With a foreword by George E. Andrews. Zbl 0647.05004
Fine, Nathan J.
140
1988
On rational triangles. Zbl 0341.10016
Fine, N. J.
4
1976
Look, Ma, no primes. Zbl 0343.10001
Fine, Nathan J.
2
1976
On the simplex of completely monotonic functions on a commutative semigroup. Zbl 0194.44201
Fine, N. J.; Maserick, P. H.
7
1970
On a question of Ayoub, Chowla and Walum concerning character sums. Zbl 0227.10027
Fine, N. J.
5
1970
Rings of quotients of rings of functions. Zbl 0143.35704
Fine, N. J.; Gillman, L.; Lambek, J.
48
1966
Uniqueness theorems for periodic functions. Zbl 0131.30203
Fine, N. J.; Wilf, H. S.
180
1965
The distribution of the sum of digits (mod \(p\)). Zbl 0148.02005
Fine, N. J.
14
1965
Remote points in \(\beta \mathbb R\). Zbl 0118.17802
Fine, N. J.; Gillman, L.
26
1962
Extension of continuous functions in \(\beta N\). Zbl 0161.42203
Fine, J.; Gillman, L.
30
1960
Pairs of commuting matrices over a finite field. Zbl 0097.00702
Feit, Walter; Fine, N. J.
19
1960
The probability that a matrix be nilpotent. Zbl 0081.01504
Fine, N. J.; Herstein, I. N.
23
1958
Classes of periodic sequences. Zbl 0080.01101
Fine, N. J.
1
1958
Fourier-Stieltjes series of Walsh functions. Zbl 0079.09302
Fine, N. J.
11
1957
Uniformization of linear arrays. Zbl 0089.24501
Fine, N. J.; Harrop, R.
4
1957
On a system of modular functions connected with the Ramanujan identities. Zbl 0073.02904
Fine, N. J.
7
1956
Cesàro summability of Walsh-Fourier series. Zbl 0065.05303
Fine, N. J.
54
1955
On the group of homeomorphisms of an arc. Zbl 0066.41305
Fine, N. J.; Schweigert, G. E.
31
1955
On groups of orthonormal functions. I, II. Zbl 0066.31202
Fine, N. J.
3
1955
Proof of a conjecture of Goodman. Zbl 0055.00402
Fine, N. J.
3
1954
Note on the Hurwitz zeta-function. Zbl 0043.07802
Fine, N. J.
5
1951
The generalized Walsh functions. Zbl 0041.03002
Fine, N. J.
32
1950
On the asymptotic distribution of the elementary symmetric functions (mod p). Zbl 0039.03406
Fine, N. J.
1
1950
On the Walsh functions. Zbl 0036.03604
Fine, N. J.
181
1949
Some new results on partitions. Zbl 0031.34801
Fine, Nathan J.
17
1948
Binomial coefficients modulo a prime. Zbl 0030.11102
Fine, N. J.
110
1947
The jeep problem. Zbl 0030.00402
Fine, J.
3
1947
The probability that a determinant be congruent to a (mod m). Zbl 0060.29402
Fine, N. J.; Niven, Ivan
2
1944
all top 5

Cited by 1,002 Authors

24 Andrews, George Eyre
18 Gát, György
13 Blanchet-Sadri, Francine
13 Goginava, Ushangi
12 Dow, Alan S.
12 Wade, William R.
9 Mignosi, Filippo
9 Restivo, Antonio
9 Simpson, Jamie
9 Yee, Ae Ja
8 Hager, Anthony W.
8 Móricz, Ferenc
8 Schipp, Ferenc Schipp
8 Smyth, William F.
8 Tephnadze, George
8 Weisz, Ferenc
7 de Luca, Aldo
7 Watari, Chinami
7 Yoneda, Kazunori
6 Blyth, William F.
6 Duval, Jean-Pierre
6 Folsom, Amanda
6 Harju, Tero
6 Magill, Kenneth D. jun.
6 Nowotka, Dirk
6 Ono, Ken
6 Sloss, Bruce Graydon
6 van Douwen, Eric K.
6 van Mill, Jan
6 Zakharov, Valeriĭ Konstantinovich
5 Chen, William Yong-Chuan
5 Comfort, William Wistar
5 Dick, Josef
5 Gawrychowski, Paweł
5 Holub, Štěpán
5 Kari, Lila
5 Kim, Byungchan
5 Maserick, Peter Harrington
5 Morettin, Pedro Alberto
5 Moshe, Yossi
5 Seki, Shinnosuke
5 Simon, Peter L.
4 Azarpanah, Fariborz
4 Bespalov, Mikhaĭl Sergeevich
4 Breslauer, Dany
4 Bringmann, Kathrin
4 Butzer, Paul Leo
4 Cooper, Shaun
4 Fulman, Jason E.
4 Kociumaka, Tomasz
4 Liedl, Roman
4 Mantaci, Sabrina
4 Martínez, Jorge L.
4 McGovern, Warren Wm.
4 Mori, Takakazu
4 Nagy, Károly
4 Negrepontis, Stylianos
4 Pak, Igor
4 Rhoades, Robert C.
4 Sezer, Müfit
4 Shallit, Jeffrey O.
4 Skriganov, Maxim M.
4 Thuswaldner, Jörg Maximilian
4 Tijdeman, Robert
4 Tsagareĭshvili, Vakhtang Shalvivich
4 Yano, Shigeki
4 Zamboni, Luca Quardo
3 Alladi, Krishnaswami
3 Allouche, Jean-Paul Simon
3 Apostolico, Alberto
3 Berndt, Bruce Carl
3 Bruyère, Véronique
3 Chen, Chang-Pao
3 Choffrut, Christian
3 Czeizler, Elena
3 Dömösi, Pál
3 Endow, Yasushi
3 Episkoposian, Sergo A.
3 Franek, Frantisek
3 Fridli, Sándor
3 Galil, Zvi
3 Garvan, Frank G.
3 Gogoladze, Larry
3 Golubov, Boris Ivanovich
3 Grzeszczuk, Piotr
3 Gulichev, N. V.
3 Kim, Daeyeoul
3 Koo, Jakyung
3 LaGrange, John David
3 Lovejoy, Jeremy
3 Manea, Florin
3 Mauduit, Christian
3 Memić, Nacima
3 Merca, Mircea
3 Mikhalëv, Aleksandr Vasil’evich
3 O’Farrell, Anthony G.
3 Patkowski, Alexander Eric
3 Peters, Thomas J.
3 Pillichshammer, Friedrich
3 Radoszewski, Jakub
...and 902 more Authors
all top 5

Cited in 218 Serials

71 Theoretical Computer Science
33 Topology and its Applications
30 Proceedings of the American Mathematical Society
29 Journal of Number Theory
27 The Ramanujan Journal
25 Transactions of the American Mathematical Society
23 Acta Mathematica Hungarica
22 Discrete Mathematics
20 Analysis Mathematica
20 Journal of Approximation Theory
20 Journal of Combinatorial Theory. Series A
19 Journal of Mathematical Analysis and Applications
18 Journal of Algebra
17 Tohoku Mathematical Journal. Second Series
15 Communications in Algebra
15 Advances in Mathematics
14 RAIRO. Theoretical Informatics and Applications
12 Discrete Applied Mathematics
12 European Journal of Combinatorics
11 Mathematical Notes
10 Linear Algebra and its Applications
10 International Journal of Number Theory
9 Rocky Mountain Journal of Mathematics
9 Mathematische Zeitschrift
9 Journal of Mathematical Sciences (New York)
8 Acta Mathematica Academiae Scientiarum Hungaricae
8 Periodica Mathematica Hungarica
8 Advances in Applied Mathematics
8 Annals of Combinatorics
7 Bulletin of the Australian Mathematical Society
7 Israel Journal of Mathematics
7 Semigroup Forum
7 Finite Fields and their Applications
6 Journal d’Analyse Mathématique
6 Journal of the Franklin Institute
6 Mathematische Annalen
6 Siberian Mathematical Journal
6 Integers
5 Archiv der Mathematik
5 Journal of Computational and Applied Mathematics
5 Journal of Pure and Applied Algebra
5 Journal of the Australian Mathematical Society
5 Bulletin of the American Mathematical Society
4 American Mathematical Monthly
4 Computers & Mathematics with Applications
4 Inventiones Mathematicae
4 Journal of Computer and System Sciences
4 Rendiconti del Seminario Matematico della Università di Padova
4 Information and Computation
4 Aequationes Mathematicae
4 The Journal of Fourier Analysis and Applications
4 Acta Mathematica Sinica. English Series
4 Journal of Discrete Algorithms
4 Proceedings of the Steklov Institute of Mathematics
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 Monatshefte für Mathematik
3 Acta Applicandae Mathematicae
3 Journal of Symbolic Computation
3 Journal of Complexity
3 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
3 RAIRO. Informatique Théorique et Applications
3 Russian Mathematics
3 Abstract and Applied Analysis
3 Positivity
3 Journal of Group Theory
2 Acta Informatica
2 Acta Arithmetica
2 Annales de l’Institut Fourier
2 Applied Mathematics and Computation
2 Automatica
2 International Journal of Mathematics and Mathematical Sciences
2 Journal für die Reine und Angewandte Mathematik
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Journal of Time Series Analysis
2 Acta Mathematicae Applicatae Sinica. English Series
2 International Journal of Approximate Reasoning
2 Designs, Codes and Cryptography
2 Stochastic Processes and their Applications
2 Bulletin of the American Mathematical Society. New Series
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Indagationes Mathematicae. New Series
2 Applied and Computational Harmonic Analysis
2 St. Petersburg Mathematical Journal
2 Doklady Mathematics
2 Theory of Computing Systems
2 Journal of Graph Algorithms and Applications
2 Annals of Mathematics. Second Series
2 Journal of Nonlinear Mathematical Physics
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Advances in Difference Equations
2 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 Math Horizons
2 Banach Journal of Mathematical Analysis
2 Confluentes Mathematici
2 Journal of Commutative Algebra
...and 118 more Serials
all top 5

Cited in 54 Fields

219 Number theory (11-XX)
177 Computer science (68-XX)
154 Harmonic analysis on Euclidean spaces (42-XX)
151 Combinatorics (05-XX)
87 General topology (54-XX)
68 Special functions (33-XX)
57 Group theory and generalizations (20-XX)
38 Commutative algebra (13-XX)
32 Associative rings and algebras (16-XX)
29 Order, lattices, ordered algebraic structures (06-XX)
29 Abstract harmonic analysis (43-XX)
27 Mathematical logic and foundations (03-XX)
26 Dynamical systems and ergodic theory (37-XX)
25 Probability theory and stochastic processes (60-XX)
22 Information and communication theory, circuits (94-XX)
21 Functional analysis (46-XX)
20 Numerical analysis (65-XX)
17 Algebraic geometry (14-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
15 Real functions (26-XX)
12 Measure and integration (28-XX)
11 History and biography (01-XX)
11 Nonassociative rings and algebras (17-XX)
11 Manifolds and cell complexes (57-XX)
9 Sequences, series, summability (40-XX)
8 Difference and functional equations (39-XX)
8 Approximations and expansions (41-XX)
7 Category theory; homological algebra (18-XX)
7 Operations research, mathematical programming (90-XX)
6 Functions of a complex variable (30-XX)
6 Statistics (62-XX)
6 Quantum theory (81-XX)
5 Partial differential equations (35-XX)
5 Integral transforms, operational calculus (44-XX)
5 Biology and other natural sciences (92-XX)
4 Operator theory (47-XX)
4 Geometry (51-XX)
4 Algebraic topology (55-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 General and overarching topics; collections (00-XX)
3 Field theory and polynomials (12-XX)
3 Systems theory; control (93-XX)
2 Topological groups, Lie groups (22-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Ordinary differential equations (34-XX)
2 Integral equations (45-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Convex and discrete geometry (52-XX)
2 Differential geometry (53-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Mechanics of deformable solids (74-XX)
1 \(K\)-theory (19-XX)
1 Potential theory (31-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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