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Niven, Ivan Morton

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Author ID: niven.ivan Recent zbMATH articles by "Niven, Ivan Morton"
Published as: Niven, I.; Niven, Ivan
Homepage: http://www.math.ubc.ca/~cayf/niven.html
External Links: MGP · Wikidata · GND
Documents Indexed: 80 Publications since 1936, including 16 Books

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 995 times in 869 Documents Cited by Year
An introduction to the theory of numbers. 5th ed. Zbl 0742.11001
Niven, Ivan; Zuckerman, Herbert S.; Montgomery, Hugh L.
153
1991
Irrational numbers. Zbl 0070.27101
Niven, Ivan
98
1956
An introduction to the theory of numbers. 4th ed. Zbl 0431.10001
Niven, Ivan; Zuckerman, Herbert S.
84
1980
Equations in quaternions. Zbl 0060.08002
Niven, Ivan
63
1941
The lattice point covering theorem for rectangles. Zbl 0186.36601
Niven, I.; Zuckerman, H. S.
56
1969
An introduction to the theory of numbers. 3rd ed. Zbl 0237.10001
Niven, Ivan; Zuckerman, Herbert S.
54
1972
The “fundamental theorem of algebra” for quaternions. Zbl 0063.01228
Eilenberg, Samuel; Niven, Ivan
51
1944
An introduction to the theory of numbers. Zbl 0723.11001
Niven, Ivan; Zuckerman, Herbert S.
39
1991
An introduction to the theory of numbers. Zbl 0098.03602
Niven, Ivan; Zuckerman, Herbert S.
39
1960
A combinatorial problem of finite sequences. Zbl 0164.33102
Niven, I.
35
1968
Formal power series. Zbl 0184.29603
Niven, I.
32
1969
An introduction to the theory of numbers. 2nd ed. Zbl 0154.04002
Niven, Ivan; Zuckerman, Herbert S.
29
1966
Diophantine approximations. Zbl 0115.04402
Niven, Ivan
23
1963
The roots of a quaternion. Zbl 0061.01407
Niven, Ivan
23
1942
Uniform distribution of sequences of integers. Zbl 0096.03102
Niven, Ivan
22
1961
Conditions for a zero sum modulo n. Zbl 0314.10040
Bovey, J. D.; Erdős, Paul; Niven, Ivan
17
1975
The asymptotic density of sequences. Zbl 0044.03603
Niven, Ivan
16
1951
Maxima and minima without calculus. Zbl 0476.00001
Niven, Ivan
15
1981
On the definition of normal numbers. Zbl 0042.26902
Niven, Ivan; Zuckerman, H. S.
14
1951
Fermat’s theorem for matrices. Zbl 0032.00102
Niven, Ivan
12
1948
Averages on the move. Zbl 0601.26011
Hoehn, Larry; Niven, Ivan
10
1985
Convex polygons that cannot tile the plane. Zbl 0403.52001
Niven, Ivan
8
1978
Diophantine approximations. Reprint of the 1963 original. Zbl 1134.11029
Niven, I.
7
2008
A simple proof that \(\pi\) is irrational. Zbl 0037.31404
Niven, Ivan
7
1947
Some properties of partial sums of the harmonic series. Zbl 0061.06502
Erdős, Paul; Niven, Ivan
6
1946
Einführung in die Zahlentheorie. I, II. Aus dem Amerikanischen übersetzt von Rudolf J. Taschner. Zbl 0319.10001
Niven, Ivan; Zuckerman, Herbert S.
5
1976
Averages of exponents in factoring integers. Zbl 0181.05303
Niven, I.
5
1969
On a certain partition function. Zbl 0026.20302
Niven, Ivan
5
1940
On a certain partition function. JFM 66.0159.01
Niven, I.
5
1940
A new proof of Routh’s theorem. Zbl 0317.50007
Niven, Ivan
4
1976
Lattice points and polygonal area. Zbl 0178.04705
Niven, I.; Zuckerman, H. S.
4
1967
A generalization of Fermat’s theorem. Zbl 0077.26106
Niven, Ivan; Warren, Leroy J.
4
1957
Unique factorization in multiplicative systems. Zbl 0055.27001
James, R. D.; Niven, Ivan
4
1954
Integers of quadratic fields as sums of squares. Zbl 0025.24703
Niven, Ivan
4
1940
Integers of quadratic fields as sums of squares. JFM 66.0118.01
Niven, I.
4
1940
Maxima and minima without calculus. New printing. Zbl 1171.00300
Niven, Ivan
3
2006
Coding theory applied to a problem of Ulam. Zbl 0675.05004
Niven, Ivan
3
1988
The average first recurrence time. Zbl 0087.42006
Friedman, Bernard; Niven, Ivan
3
1959
Functions which represent prime numbers. Zbl 0044.03702
Niven, Ivan
3
1951
The transcendence of \(\pi\). Zbl 0060.12301
Niven, Ivan
3
1939
A characterization of complementing sets of pairs of integers. Zbl 0214.30503
Niven, I.
2
1971
Uniform distribution of sequences of integers. Zbl 0142.29603
Niven, I.
2
1964
Fields defined by polynomials. Zbl 0122.29103
Hinrichs, L.; Niven, I.; Eynden, C. L. V.
2
1964
On the roots of a polynomial and its derivative. Zbl 0032.24802
Erdős, Paul; Niven, Ivan
2
1948
A note on the number theory of quaternions. Zbl 0060.09801
Niven, Ivan
2
1946
The probability that a determinant be congruent to a (mod m). Zbl 0060.29402
Fine, N. J.; Niven, Ivan
2
1944
An unsolved case of the Waring problem. Zbl 0060.09705
Niven, Ivan
2
1944
Julia Bowman Robinson 1919-1985. Zbl 0571.01026
Henkin, L.; Lehmer, D. H.; Lehmer, Emma; Scott, E.; Kelley, J.; Gaal, L.; Gale, D.; Davis, M.; MacLane, S.; Niven, I.; Pitcher, E.; Blum, L.; Feferman, S.
1
1985
Primes in certain arithmetic progressions. Zbl 0329.10003
Niven, Ivan; Powell, Barry
1
1976
Lattice point coverings by plane figures. Zbl 0153.07201
Niven, I.; Zuckerman, H. S.
1
1967
Rational and irrational numbers. Translated from the English by V. V. Sazonov. Edited by I. M. Yaglom. Zbl 0146.27703
Niven, Ivan
1
1966
A method of establishing certain irrationalities. Zbl 0144.29004
Maier, E. A.; Niven, I.
1
1964
On asymmetric diophantine approximations. Zbl 0107.04302
Niven, I.
1
1962
A remark on one-sided approximation. Zbl 0100.04001
Eggan, L. C.; Niven, Ivan
1
1961
The iteration of certain arithmetic functions. Zbl 0038.18001
Niven, Ivan
1
1950
The transcendence of \(\pi\). JFM 65.1159.02
Niven, I.
1
1939
Diophantine approximations. Reprint of the 1963 original. Zbl 1134.11029
Niven, I.
7
2008
Maxima and minima without calculus. New printing. Zbl 1171.00300
Niven, Ivan
3
2006
An introduction to the theory of numbers. 5th ed. Zbl 0742.11001
Niven, Ivan; Zuckerman, Herbert S.; Montgomery, Hugh L.
153
1991
An introduction to the theory of numbers. Zbl 0723.11001
Niven, Ivan; Zuckerman, Herbert S.
39
1991
Coding theory applied to a problem of Ulam. Zbl 0675.05004
Niven, Ivan
3
1988
Averages on the move. Zbl 0601.26011
Hoehn, Larry; Niven, Ivan
10
1985
Julia Bowman Robinson 1919-1985. Zbl 0571.01026
Henkin, L.; Lehmer, D. H.; Lehmer, Emma; Scott, E.; Kelley, J.; Gaal, L.; Gale, D.; Davis, M.; MacLane, S.; Niven, I.; Pitcher, E.; Blum, L.; Feferman, S.
1
1985
Maxima and minima without calculus. Zbl 0476.00001
Niven, Ivan
15
1981
An introduction to the theory of numbers. 4th ed. Zbl 0431.10001
Niven, Ivan; Zuckerman, Herbert S.
84
1980
Convex polygons that cannot tile the plane. Zbl 0403.52001
Niven, Ivan
8
1978
Einführung in die Zahlentheorie. I, II. Aus dem Amerikanischen übersetzt von Rudolf J. Taschner. Zbl 0319.10001
Niven, Ivan; Zuckerman, Herbert S.
5
1976
A new proof of Routh’s theorem. Zbl 0317.50007
Niven, Ivan
4
1976
Primes in certain arithmetic progressions. Zbl 0329.10003
Niven, Ivan; Powell, Barry
1
1976
Conditions for a zero sum modulo n. Zbl 0314.10040
Bovey, J. D.; Erdős, Paul; Niven, Ivan
17
1975
An introduction to the theory of numbers. 3rd ed. Zbl 0237.10001
Niven, Ivan; Zuckerman, Herbert S.
54
1972
A characterization of complementing sets of pairs of integers. Zbl 0214.30503
Niven, I.
2
1971
The lattice point covering theorem for rectangles. Zbl 0186.36601
Niven, I.; Zuckerman, H. S.
56
1969
Formal power series. Zbl 0184.29603
Niven, I.
32
1969
Averages of exponents in factoring integers. Zbl 0181.05303
Niven, I.
5
1969
A combinatorial problem of finite sequences. Zbl 0164.33102
Niven, I.
35
1968
Lattice points and polygonal area. Zbl 0178.04705
Niven, I.; Zuckerman, H. S.
4
1967
Lattice point coverings by plane figures. Zbl 0153.07201
Niven, I.; Zuckerman, H. S.
1
1967
An introduction to the theory of numbers. 2nd ed. Zbl 0154.04002
Niven, Ivan; Zuckerman, Herbert S.
29
1966
Rational and irrational numbers. Translated from the English by V. V. Sazonov. Edited by I. M. Yaglom. Zbl 0146.27703
Niven, Ivan
1
1966
Uniform distribution of sequences of integers. Zbl 0142.29603
Niven, I.
2
1964
Fields defined by polynomials. Zbl 0122.29103
Hinrichs, L.; Niven, I.; Eynden, C. L. V.
2
1964
A method of establishing certain irrationalities. Zbl 0144.29004
Maier, E. A.; Niven, I.
1
1964
Diophantine approximations. Zbl 0115.04402
Niven, Ivan
23
1963
On asymmetric diophantine approximations. Zbl 0107.04302
Niven, I.
1
1962
Uniform distribution of sequences of integers. Zbl 0096.03102
Niven, Ivan
22
1961
A remark on one-sided approximation. Zbl 0100.04001
Eggan, L. C.; Niven, Ivan
1
1961
An introduction to the theory of numbers. Zbl 0098.03602
Niven, Ivan; Zuckerman, Herbert S.
39
1960
The average first recurrence time. Zbl 0087.42006
Friedman, Bernard; Niven, Ivan
3
1959
A generalization of Fermat’s theorem. Zbl 0077.26106
Niven, Ivan; Warren, Leroy J.
4
1957
Irrational numbers. Zbl 0070.27101
Niven, Ivan
98
1956
Unique factorization in multiplicative systems. Zbl 0055.27001
James, R. D.; Niven, Ivan
4
1954
The asymptotic density of sequences. Zbl 0044.03603
Niven, Ivan
16
1951
On the definition of normal numbers. Zbl 0042.26902
Niven, Ivan; Zuckerman, H. S.
14
1951
Functions which represent prime numbers. Zbl 0044.03702
Niven, Ivan
3
1951
The iteration of certain arithmetic functions. Zbl 0038.18001
Niven, Ivan
1
1950
Fermat’s theorem for matrices. Zbl 0032.00102
Niven, Ivan
12
1948
On the roots of a polynomial and its derivative. Zbl 0032.24802
Erdős, Paul; Niven, Ivan
2
1948
A simple proof that \(\pi\) is irrational. Zbl 0037.31404
Niven, Ivan
7
1947
Some properties of partial sums of the harmonic series. Zbl 0061.06502
Erdős, Paul; Niven, Ivan
6
1946
A note on the number theory of quaternions. Zbl 0060.09801
Niven, Ivan
2
1946
The “fundamental theorem of algebra” for quaternions. Zbl 0063.01228
Eilenberg, Samuel; Niven, Ivan
51
1944
The probability that a determinant be congruent to a (mod m). Zbl 0060.29402
Fine, N. J.; Niven, Ivan
2
1944
An unsolved case of the Waring problem. Zbl 0060.09705
Niven, Ivan
2
1944
The roots of a quaternion. Zbl 0061.01407
Niven, Ivan
23
1942
Equations in quaternions. Zbl 0060.08002
Niven, Ivan
63
1941
On a certain partition function. Zbl 0026.20302
Niven, Ivan
5
1940
On a certain partition function. JFM 66.0159.01
Niven, I.
5
1940
Integers of quadratic fields as sums of squares. Zbl 0025.24703
Niven, Ivan
4
1940
Integers of quadratic fields as sums of squares. JFM 66.0118.01
Niven, I.
4
1940
The transcendence of \(\pi\). Zbl 0060.12301
Niven, Ivan
3
1939
The transcendence of \(\pi\). JFM 65.1159.02
Niven, I.
1
1939
all top 5

Cited by 1,263 Authors

11 Gao, Weidong
9 Praeger, Cheryl Elisabeth
8 Hong, Shaofang
7 Bhardwaj, Vinod Kumar
7 Demirci, Kamil
7 Doğru, Ogün
7 Ehrenborg, Richard
7 Niemeyer, Alice C.
6 Li, Yuanlin
6 Llibre, Jaume
6 Maehara, Hiroshi
6 Šalát, Tibor
5 Dhawan, Shweta
5 Gentili, Graziano
5 Martin, Greg
5 Viennot, Xavier Gérard
4 Adelberg, Arnold M.
4 Bolotnikov, Vladimir
4 Chapman, Scott Thomas
4 Dilcher, Karl
4 Duman, Oktay
4 Erdős, Pál
4 Ligh, Steve
4 Opfer, Gerhard
4 Paštéka, Milan
4 Rosenberg, Arnold Leonard
4 Stević, Stevo
4 Stoppato, Caterina
4 Zaharescu, Alexandru
3 Berndt, Bruce Carl
3 Beslin, Scott J.
3 Brown, Ron
3 Cárdenas-Barrón, Leopoldo Eduardo
3 Chacron, Maurice J.
3 Chang, Shu-Chu
3 Cosgrave, John B.
3 Dobbs, David Earl
3 Dujella, Andrej
3 Falcão, Maria Irene
3 Gal, Sorin Gheorghe
3 Galindo Pastor, Carlos
3 Geroldinger, Alfred
3 Ghiloni, Riccardo
3 Hagis, Peter jun.
3 Janovská, Drahoslava
3 Keskin, Refik
3 Kuipers, Lauwerens
3 Luca, Florian
3 Mawhin, Jean L.
3 Mierzejewski, Dmytro A.
3 Monserrat, Francisco
3 Móricz, Ferenc
3 Nowak, Werner Georg
3 Orhan, Cihan
3 Orhan, Sevda
3 Pehlivan, Serpil
3 Porubsky, Stefan
3 Pumplün, Susanne
3 Rajah, Andrew
3 Razpet, Marko
3 Readdy, Margaret A.
3 Sabadini, Irene
3 Sakkalis, Takis
3 Scharler, Daniel F.
3 Schröcker, Hans-Peter
3 Şençımen, Celaleddin
3 Serôdio, Rogério
3 Shiue, Peter Jau-Shyong
3 Tekcan, Ahmet
3 Thangadurai, Ravindranathan
3 Thomson, Alison
3 Tichy, Robert Franz
3 Tijdeman, Robert
3 Wagner, Carl G.
3 Zhou, Sanming
2 Akkus, Ilker
2 Alsina, Claudi
2 Basu-Mallick, Bireswar
2 Beals, Robert M.
2 Bender, Edward A.
2 Bhattacharyya, Tanaya
2 Bisbas, Antonis
2 Boas, Harold P.
2 Boca, Florin-Petre
2 Booker, Andrew R.
2 Bourque, Keith
2 Brenner, Joël Lee
2 Bui Minh Phong
2 Chamberland, Marc
2 Chebikin, Denis
2 Chiu, Kuanghui
2 Contopoulos, George
2 Dadush, Daniel
2 Dey, Santanu S.
2 Di Crescenzo, Giovanni
2 Dirik, Fadime
2 Dospra, Petroula
2 Farouki, Rida T.
2 Feigenbaum, Joan
2 Ferraz, Raul Antonio
...and 1,163 more Authors
all top 5

Cited in 247 Serials

47 Discrete Mathematics
36 Journal of Number Theory
26 Proceedings of the American Mathematical Society
24 Journal of Mathematical Analysis and Applications
23 Transactions of the American Mathematical Society
23 Linear Algebra and its Applications
20 Journal of Combinatorial Theory. Series A
19 Theoretical Computer Science
19 Advances in Applied Clifford Algebras
18 Journal of Algebra
17 Physica D
13 Communications in Algebra
12 International Journal of Mathematical Education in Science and Technology
12 Mathematica Slovaca
10 Computers & Mathematics with Applications
9 Mathematics of Computation
9 Mathematische Annalen
9 The Ramanujan Journal
8 Bulletin of the Australian Mathematical Society
8 Advances in Mathematics
8 International Journal of Number Theory
7 Linear and Multilinear Algebra
7 Czechoslovak Mathematical Journal
7 Results in Mathematics
7 Acta Mathematica Hungarica
7 Expositiones Mathematicae
7 Indagationes Mathematicae. New Series
7 Journal de Théorie des Nombres de Bordeaux
7 Journal of Inequalities and Applications
6 Discrete Applied Mathematics
6 Rocky Mountain Journal of Mathematics
6 Archiv der Mathematik
6 Journal of Computer and System Sciences
6 European Journal of Combinatorics
6 Mathematical and Computer Modelling
5 American Mathematical Monthly
5 Periodica Mathematica Hungarica
5 Mathematics Magazine
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Applied Mathematics and Computation
5 Compositio Mathematica
5 Functiones et Approximatio. Commentarii Mathematici
5 Manuscripta Mathematica
5 Mathematische Zeitschrift
5 Topology and its Applications
5 Advances in Applied Mathematics
5 Journal of Symbolic Computation
5 Applied Mathematics Letters
5 Aequationes Mathematicae
5 Journal of Integer Sequences
5 Journal of Algebra and its Applications
5 Proceedings of the Japan Academy
4 Communications in Mathematical Physics
4 Israel Journal of Mathematics
4 The Mathematical Intelligencer
4 Glasgow Mathematical Journal
4 International Journal of Mathematics and Mathematical Sciences
4 Journal of Combinatorial Theory. Series B
4 Journal of Differential Equations
4 Journal of Pure and Applied Algebra
4 Monatshefte für Mathematik
4 Journal of Difference Equations and Applications
4 The College Mathematics Journal
3 Analysis Mathematica
3 Information Processing Letters
3 Journal of Statistical Physics
3 Annales de l’Institut Fourier
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Geometriae Dedicata
3 Information Sciences
3 Journal of Computational and Applied Mathematics
3 Journal of Functional Analysis
3 Semigroup Forum
3 Information and Computation
3 Applied Mathematical Modelling
3 Elemente der Mathematik
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Journal of Algebraic Combinatorics
3 Algebra Colloquium
3 Journal of the Australian Mathematical Society
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Korean Journal of Mathematics
2 Acta Informatica
2 Acta Mathematica Academiae Scientiarum Hungaricae
2 The Mathematical Gazette
2 Mathematical Methods in the Applied Sciences
2 Nuclear Physics. B
2 Acta Arithmetica
2 Annals of the Institute of Statistical Mathematics
2 Computing
2 Journal of Soviet Mathematics
2 Mathematika
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Studies in Applied Mathematics
2 Ergodic Theory and Dynamical Systems
2 Mathematical Social Sciences
2 Discrete & Computational Geometry
2 SIAM Journal on Discrete Mathematics
...and 147 more Serials
all top 5

Cited in 57 Fields

340 Number theory (11-XX)
124 Combinatorics (05-XX)
72 Group theory and generalizations (20-XX)
65 Computer science (68-XX)
57 Linear and multilinear algebra; matrix theory (15-XX)
50 Dynamical systems and ergodic theory (37-XX)
48 Sequences, series, summability (40-XX)
44 Associative rings and algebras (16-XX)
43 Functions of a complex variable (30-XX)
35 Field theory and polynomials (12-XX)
31 Convex and discrete geometry (52-XX)
30 Approximations and expansions (41-XX)
30 Numerical analysis (65-XX)
27 Real functions (26-XX)
23 Information and communication theory, circuits (94-XX)
21 Commutative algebra (13-XX)
21 General topology (54-XX)
18 Geometry (51-XX)
17 Measure and integration (28-XX)
16 Mathematical logic and foundations (03-XX)
16 Functional analysis (46-XX)
16 Probability theory and stochastic processes (60-XX)
14 Operations research, mathematical programming (90-XX)
13 Algebraic geometry (14-XX)
13 Partial differential equations (35-XX)
13 Difference and functional equations (39-XX)
13 Quantum theory (81-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
12 Operator theory (47-XX)
11 Order, lattices, ordered algebraic structures (06-XX)
11 Nonassociative rings and algebras (17-XX)
11 Manifolds and cell complexes (57-XX)
9 Ordinary differential equations (34-XX)
8 History and biography (01-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Special functions (33-XX)
8 Statistics (62-XX)
6 Algebraic topology (55-XX)
6 Mathematics education (97-XX)
5 General and overarching topics; collections (00-XX)
5 General algebraic systems (08-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Differential geometry (53-XX)
4 Mechanics of particles and systems (70-XX)
3 Topological groups, Lie groups (22-XX)
3 Abstract harmonic analysis (43-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Biology and other natural sciences (92-XX)
3 Systems theory; control (93-XX)
2 Potential theory (31-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Mechanics of deformable solids (74-XX)
1 Integral equations (45-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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