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Niven, Ivan Morton (b. 1915 d. 1999)

Author ID: niven.ivan Recent zbMATH articles by "Niven, Ivan Morton"
Published as: Niven, Ivan; Niven, I.
Homepage: http://www.math.ubc.ca/~cayf/niven.html
External Links: MGP · Wikidata · GND · IdRef

Publications by Year

Citations contained in zbMATH Open

57 Publications have been cited 1,217 times in 1,133 Documents Cited by Year
An introduction to the theory of numbers. 5th ed. Zbl 0742.11001
Niven, Ivan; Zuckerman, Herbert S.; Montgomery, Hugh L.
257
1991
Irrational numbers. Zbl 0070.27101
Niven, Ivan
142
1956
Equations in quaternions. Zbl 0060.08002
Niven, Ivan
80
1941
An introduction to the theory of numbers. 4th ed. Zbl 0431.10001
Niven, Ivan; Zuckerman, Herbert S.
79
1980
An introduction to the theory of numbers. 3rd ed. Zbl 0237.10001
Niven, Ivan; Zuckerman, Herbert S.
58
1972
The “fundamental theorem of algebra” for quaternions. Zbl 0063.01228
Eilenberg, Samuel; Niven, Ivan
58
1944
The lattice point covering theorem for rectangles. Zbl 0186.36601
Niven, I.; Zuckerman, H. S.
57
1969
Formal power series. Zbl 0184.29603
Niven, I.
42
1969
An introduction to the theory of numbers. (Einführung in die Zahlentheorie I (Übers. aus dem Engl. von Rudolf J. Taschner).) Zbl 0723.11001
Niven, Ivan; Zuckerman, Herbert S.
38
1991
A combinatorial problem of finite sequences. Zbl 0164.33102
Niven, I.
37
1968
An introduction to the theory of numbers. Zbl 0098.03602
Niven, Ivan; Zuckerman, Herbert S.
36
1960
The roots of a quaternion. Zbl 0061.01407
Niven, Ivan
30
1942
Diophantine approximations. Zbl 0115.04402
Niven, Ivan
25
1963
Uniform distribution of sequences of integers. Zbl 0096.03102
Niven, Ivan
24
1961
The asymptotic density of sequences. Zbl 0044.03603
Niven, Ivan
23
1951
An introduction to the theory of numbers. 2nd ed. Zbl 0154.04002
Niven, Ivan; Zuckerman, Herbert S.
22
1966
On the definition of normal numbers. Zbl 0042.26902
Niven, Ivan; Zuckerman, H. S.
21
1951
Conditions for a zero sum modulo n. Zbl 0314.10040
Bovey, J. D.; Erdős, Paul; Niven, Ivan
20
1975
Maxima and minima without calculus. Zbl 0476.00001
Niven, Ivan
15
1981
Fermat’s theorem for matrices. Zbl 0032.00102
Niven, Ivan
14
1948
Some properties of partial sums of the harmonic series. Zbl 0061.06502
Erdős, Paul; Niven, Ivan
12
1946
Averages on the move. Zbl 0601.26011
Hoehn, Larry; Niven, Ivan
11
1985
Convex polygons that cannot tile the plane. Zbl 0403.52001
Niven, Ivan
10
1978
A simple proof that \(\pi\) is irrational. Zbl 0037.31404
Niven, Ivan
9
1947
Diophantine approximations. Reprint of the 1963 original. Zbl 1134.11029
Niven, I.
7
2008
Averages of exponents in factoring integers. Zbl 0181.05303
Niven, I.
7
1969
Unique factorization in multiplicative systems. Zbl 0055.27001
James, R. D.; Niven, Ivan
6
1954
A generalization of Fermat’s theorem. Zbl 0077.26106
Niven, Ivan; Warren, Leroy J.
6
1957
Lattice points and polygonal area. Zbl 0178.04705
Niven, I.; Zuckerman, H. S.
5
1967
A new proof of Routh’s theorem. Zbl 0317.50007
Niven, Ivan
4
1976
Einführung in die Zahlentheorie. I, II. Aus dem Amerikanischen übersetzt von Rudolf J. Taschner. Zbl 0319.10001
Niven, Ivan; Zuckerman, Herbert S.
4
1976
On the roots of a polynomial and its derivative. Zbl 0032.24802
Erdős, Paul; Niven, Ivan
4
1948
The average first recurrence time. Zbl 0087.42006
Friedman, Bernard; Niven, Ivan
4
1959
On a certain partition function. Zbl 0026.20302
Niven, Ivan
4
1940
Functions which represent prime numbers. Zbl 0044.03702
Niven, Ivan
4
1951
A proof of the divergence of \(\Sigma 1/p\). Zbl 0207.35104
Niven, I.
4
1971
A characterization of complementing sets of pairs of integers. Zbl 0214.30503
Niven, I.
4
1971
Coding theory applied to a problem of Ulam. Zbl 0675.05004
Niven, Ivan
3
1988
Maxima and minima without calculus. New printing. Zbl 1171.00300
Niven, Ivan
3
2006
Integers of quadratic fields as sums of squares. Zbl 0025.24703
Niven, Ivan
3
1940
An unsolved case of the Waring problem. Zbl 0060.09705
Niven, Ivan
3
1944
Uniform distribution of sequences of integers. Zbl 0142.29603
Niven, I.
3
1964
Fields defined by polynomials. Zbl 0122.29103
Hinrichs, L.; Niven, I.; Eynden, C. L. V.
3
1964
Mathematical people. Profiles and interviews. Introduction by Philip J. Davis. 2nd ed. Zbl 1219.01066
2
2008
A note on the number theory of quaternions. Zbl 0060.09801
Niven, Ivan
2
1946
The transcendence of \(\pi\). Zbl 0060.12301
Niven, Ivan
2
1939
The probability that a determinant be congruent to a (mod m). Zbl 0060.29402
Fine, N. J.; Niven, Ivan
2
1944
The threadbare thirties. Zbl 0666.01020
Niven, Ivan
1
1989
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
Quadratic diophantine equations in the rational and quadratic fields. Zbl 0060.08904
Niven, Ivan
1
1942
On asymmetric diophantine approximations. Zbl 0107.04302
Niven, I.
1
1962
A method of establishing certain irrationalities. Zbl 0144.29004
Maier, E. A.; Niven, I.
1
1964
Rational and irrational numbers. Translated from the English by V. V. Sazonov. Edited by I. M. Yaglom. (Числа рациональные и иррациональные.) Zbl 0146.27703
Niven, Ivan
1
1966
Lattice point coverings by plane figures. Zbl 0153.07201
Niven, I.; Zuckerman, H. S.
1
1967
The iteration of certain arithmetic functions. Zbl 0038.18001
Niven, Ivan
1
1950
A remark on one-sided approximation. Zbl 0100.04001
Eggan, L. C.; Niven, Ivan
1
1961
Diophantine approximations. Reprint of the 1963 original. Zbl 1134.11029
Niven, I.
7
2008
Mathematical people. Profiles and interviews. Introduction by Philip J. Davis. 2nd ed. Zbl 1219.01066
2
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.
257
1991
An introduction to the theory of numbers. (Einführung in die Zahlentheorie I (Übers. aus dem Engl. von Rudolf J. Taschner).) Zbl 0723.11001
Niven, Ivan; Zuckerman, Herbert S.
38
1991
The threadbare thirties. Zbl 0666.01020
Niven, Ivan
1
1989
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
11
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.
79
1980
Convex polygons that cannot tile the plane. Zbl 0403.52001
Niven, Ivan
10
1978
A new proof of Routh’s theorem. Zbl 0317.50007
Niven, Ivan
4
1976
Einführung in die Zahlentheorie. I, II. Aus dem Amerikanischen übersetzt von Rudolf J. Taschner. Zbl 0319.10001
Niven, Ivan; Zuckerman, Herbert S.
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
20
1975
An introduction to the theory of numbers. 3rd ed. Zbl 0237.10001
Niven, Ivan; Zuckerman, Herbert S.
58
1972
A proof of the divergence of \(\Sigma 1/p\). Zbl 0207.35104
Niven, I.
4
1971
A characterization of complementing sets of pairs of integers. Zbl 0214.30503
Niven, I.
4
1971
The lattice point covering theorem for rectangles. Zbl 0186.36601
Niven, I.; Zuckerman, H. S.
57
1969
Formal power series. Zbl 0184.29603
Niven, I.
42
1969
Averages of exponents in factoring integers. Zbl 0181.05303
Niven, I.
7
1969
A combinatorial problem of finite sequences. Zbl 0164.33102
Niven, I.
37
1968
Lattice points and polygonal area. Zbl 0178.04705
Niven, I.; Zuckerman, H. S.
5
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.
22
1966
Rational and irrational numbers. Translated from the English by V. V. Sazonov. Edited by I. M. Yaglom. (Числа рациональные и иррациональные.) Zbl 0146.27703
Niven, Ivan
1
1966
Uniform distribution of sequences of integers. Zbl 0142.29603
Niven, I.
3
1964
Fields defined by polynomials. Zbl 0122.29103
Hinrichs, L.; Niven, I.; Eynden, C. L. V.
3
1964
A method of establishing certain irrationalities. Zbl 0144.29004
Maier, E. A.; Niven, I.
1
1964
Diophantine approximations. Zbl 0115.04402
Niven, Ivan
25
1963
On asymmetric diophantine approximations. Zbl 0107.04302
Niven, I.
1
1962
Uniform distribution of sequences of integers. Zbl 0096.03102
Niven, Ivan
24
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.
36
1960
The average first recurrence time. Zbl 0087.42006
Friedman, Bernard; Niven, Ivan
4
1959
A generalization of Fermat’s theorem. Zbl 0077.26106
Niven, Ivan; Warren, Leroy J.
6
1957
Irrational numbers. Zbl 0070.27101
Niven, Ivan
142
1956
Unique factorization in multiplicative systems. Zbl 0055.27001
James, R. D.; Niven, Ivan
6
1954
The asymptotic density of sequences. Zbl 0044.03603
Niven, Ivan
23
1951
On the definition of normal numbers. Zbl 0042.26902
Niven, Ivan; Zuckerman, H. S.
21
1951
Functions which represent prime numbers. Zbl 0044.03702
Niven, Ivan
4
1951
The iteration of certain arithmetic functions. Zbl 0038.18001
Niven, Ivan
1
1950
Fermat’s theorem for matrices. Zbl 0032.00102
Niven, Ivan
14
1948
On the roots of a polynomial and its derivative. Zbl 0032.24802
Erdős, Paul; Niven, Ivan
4
1948
A simple proof that \(\pi\) is irrational. Zbl 0037.31404
Niven, Ivan
9
1947
Some properties of partial sums of the harmonic series. Zbl 0061.06502
Erdős, Paul; Niven, Ivan
12
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
58
1944
An unsolved case of the Waring problem. Zbl 0060.09705
Niven, Ivan
3
1944
The probability that a determinant be congruent to a (mod m). Zbl 0060.29402
Fine, N. J.; Niven, Ivan
2
1944
The roots of a quaternion. Zbl 0061.01407
Niven, Ivan
30
1942
Quadratic diophantine equations in the rational and quadratic fields. Zbl 0060.08904
Niven, Ivan
1
1942
Equations in quaternions. Zbl 0060.08002
Niven, Ivan
80
1941
On a certain partition function. Zbl 0026.20302
Niven, Ivan
4
1940
Integers of quadratic fields as sums of squares. Zbl 0025.24703
Niven, Ivan
3
1940
The transcendence of \(\pi\). Zbl 0060.12301
Niven, Ivan
2
1939
all top 5

Cited by 1,600 Authors

12 Hong, Shaofang
11 Demirci, Kamil
11 Gao, Weidong
10 Praeger, Cheryl Elisabeth
8 Bhardwaj, Vinod Kumar
7 Doğru, Ogün
7 Ehrenborg, Richard
7 Niemeyer, Alice C.
6 Bolotnikov, Vladimir
6 Chapman, Scott Thomas
6 Dhawan, Shweta
6 Dilcher, Karl
6 Li, Yuanlin
6 Llibre, Jaume
6 Martin, Greg
6 Paštéka, Milan
6 Šalát, Tibor
5 Gentili, Graziano
5 Maehara, Hiroshi
5 Mir, Abdullah
5 Opfer, Gerhard
5 Schröcker, Hans-Peter
5 Stević, Stevo
5 Viennot, Xavier Gérard
5 Zaharescu, Alexandru
4 Adelberg, Arnold M.
4 Berndt, Bruce Carl
4 Dirik, Fadime
4 Dobbs, David Earl
4 Duman, Oktay
4 Erdős, Pál
4 Gal, Sorin Gheorghe
4 Ghiloni, Riccardo
4 Hajdu, Lajos
4 Janovská, Drahoslava
4 Leonetti, Paolo
4 Ligh, Steve
4 Pehlivan, Serpil
4 Rosenberg, Arnold Leonard
4 Sakkalis, Takis
4 Scharler, Daniel F.
4 Shiue, Peter Jau-Shyong
4 Stoppato, Caterina
4 Tekcan, Ahmet
4 Yang, Yan
4 Yıldız, Sevda
3 Akkus, Ilker
3 Altin, Yavuz
3 Bergelson, Vitaly
3 Beslin, Scott J.
3 Brochero Martínez, Fabio Enrique
3 Cárdenas-Barrón, Leopoldo Eduardo
3 Chacron, Maurice J.
3 Chang, Shu-Chu
3 Cosgrave, John B.
3 Di Crescenzo, Giovanni
3 Dujella, Andrej
3 Falcão, Maria Irene
3 Galindo Pastor, Carlos
3 Geroldinger, Alfred
3 Hagis, Peter jun.
3 İlkhan, Merve
3 Itzá-Ortiz, Benjamin A.
3 Jiang, Xiao
3 Keskin, Refik
3 Kuipers, Lauwerens
3 Luca, Florian
3 Mance, Bill
3 Mawhin, Jean
3 Mayhew, Gregory L.
3 Mierzejewski, Dmytro A.
3 Monserrat, Francisco
3 Móricz, Ferenc
3 Orhan, Sevda
3 Özkoç, Arzu
3 Perotti, Alessandro
3 Porubsky, Stefan
3 Pumplün, Susanne
3 Qiu, Min
3 Rajah, Andrew
3 Razpet, Marko
3 Readdy, Margaret A.
3 Ren, Meiying
3 Renukadevi, Vellapandi
3 Sabadini, Irene
3 Sanna, Carlo
3 Şençımen, Celaleddin
3 Serôdio, Rogério
3 Tapia-Recillas, Horacio
3 Thangadurai, Ravindranathan
3 Thomson, Alison
3 Tichy, Robert Franz
3 Tijdeman, Robert
3 Tringali, Salvatore
3 Varona Malumbres, Juan Luis
3 Vincenzi, Giovanni
3 Wagner, Carl G.
3 Zhao, Jianrong
3 Zhou, Sanming
3 Zhu, Xuding
...and 1,500 more Authors
all top 5

Cited in 319 Serials

53 Discrete Mathematics
42 Journal of Number Theory
27 Journal of Mathematical Analysis and Applications
27 Proceedings of the American Mathematical Society
26 Linear Algebra and its Applications
25 Transactions of the American Mathematical Society
23 Journal of Combinatorial Theory. Series A
20 Advances in Applied Clifford Algebras
19 Journal of Algebra
19 Theoretical Computer Science
18 Physica D
16 Communications in Algebra
14 American Mathematical Monthly
14 International Journal of Mathematical Education in Science and Technology
14 Mathematica Slovaca
12 Mathematics of Computation
11 Bulletin of the Australian Mathematical Society
11 Computers & Mathematics with Applications
11 Acta Mathematica Hungarica
11 Journal of Algebra and its Applications
10 The Ramanujan Journal
9 Advances in Mathematics
9 Expositiones Mathematicae
9 Journal of Inequalities and Applications
9 Integers
9 International Journal of Number Theory
8 Linear and Multilinear Algebra
8 Mathematics Magazine
8 Archiv der Mathematik
8 Mathematische Annalen
8 Journal de Théorie des Nombres de Bordeaux
8 Journal of Integer Sequences
7 Periodica Mathematica Hungarica
7 Rocky Mountain Journal of Mathematics
7 The Mathematical Intelligencer
7 Czechoslovak Mathematical Journal
7 Results in Mathematics
7 European Journal of Combinatorics
7 Indagationes Mathematicae. New Series
6 Discrete Applied Mathematics
6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
6 Functiones et Approximatio. Commentarii Mathematici
6 Journal of Computer and System Sciences
6 Journal of Differential Equations
6 Manuscripta Mathematica
6 Mathematische Zeitschrift
6 Topology and its Applications
6 Advances in Applied Mathematics
6 Applied Mathematics Letters
6 Mathematical and Computer Modelling
6 JP Journal of Algebra, Number Theory and Applications
6 The College Mathematics Journal
5 Israel Journal of Mathematics
5 Applied Mathematics and Computation
5 Compositio Mathematica
5 International Journal of Mathematics and Mathematical Sciences
5 Monatshefte für Mathematik
5 Journal of Symbolic Computation
5 Discrete & Computational Geometry
5 Aequationes Mathematicae
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Advances in Difference Equations
5 Proceedings of the Japan Academy
4 Communications in Mathematical Physics
4 Chaos, Solitons and Fractals
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Geometriae Dedicata
4 Glasgow Mathematical Journal
4 Journal of Combinatorial Theory. Series B
4 Journal of Pure and Applied Algebra
4 Mathematika
4 Communications in Statistics. Theory and Methods
4 Journal of Difference Equations and Applications
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 Korean Journal of Mathematics
3 Analysis Mathematica
3 Information Processing Letters
3 Journal of Statistical Physics
3 The Mathematical Gazette
3 Nonlinearity
3 Acta Arithmetica
3 Annales de l’Institut Fourier
3 Information Sciences
3 Journal of Computational and Applied Mathematics
3 Journal of Functional Analysis
3 Journal of the London Mathematical Society. Second Series
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Semigroup Forum
3 Information and Computation
3 Applied Mathematical Modelling
3 Elemente der Mathematik
3 Experimental Mathematics
3 Journal of Algebraic Combinatorics
3 Algebra Colloquium
3 Filomat
3 The Electronic Journal of Combinatorics
3 Journal of the Australian Mathematical Society
3 Computational Methods and Function Theory
3 Boletim da Sociedade Paranaense de Matemática. Terceira Série
...and 219 more Serials
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Cited in 58 Fields

462 Number theory (11-XX)
152 Combinatorics (05-XX)
91 Group theory and generalizations (20-XX)
83 Computer science (68-XX)
73 Sequences, series, summability (40-XX)
71 Linear and multilinear algebra; matrix theory (15-XX)
65 Dynamical systems and ergodic theory (37-XX)
60 Associative rings and algebras (16-XX)
59 Functions of a complex variable (30-XX)
42 Field theory and polynomials (12-XX)
42 Real functions (26-XX)
42 Approximations and expansions (41-XX)
39 Convex and discrete geometry (52-XX)
38 Numerical analysis (65-XX)
33 Commutative algebra (13-XX)
33 Information and communication theory, circuits (94-XX)
28 Mathematical logic and foundations (03-XX)
28 General topology (54-XX)
26 Geometry (51-XX)
25 Probability theory and stochastic processes (60-XX)
22 Functional analysis (46-XX)
21 Measure and integration (28-XX)
20 Difference and functional equations (39-XX)
20 Operations research, mathematical programming (90-XX)
19 Algebraic geometry (14-XX)
18 Quantum theory (81-XX)
16 Operator theory (47-XX)
15 Special functions (33-XX)
14 Nonassociative rings and algebras (17-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
14 Statistics (62-XX)
13 Partial differential equations (35-XX)
12 Ordinary differential equations (34-XX)
12 Manifolds and cell complexes (57-XX)
12 Mathematics education (97-XX)
11 Order, lattices, ordered algebraic structures (06-XX)
10 History and biography (01-XX)
10 Several complex variables and analytic spaces (32-XX)
9 General algebraic systems (08-XX)
9 Statistical mechanics, structure of matter (82-XX)
7 General and overarching topics; collections (00-XX)
7 Differential geometry (53-XX)
6 Algebraic topology (55-XX)
6 Mechanics of particles and systems (70-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Topological groups, Lie groups (22-XX)
4 Abstract harmonic analysis (43-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Biology and other natural sciences (92-XX)
3 Potential theory (31-XX)
3 Systems theory; control (93-XX)
2 Mechanics of deformable solids (74-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Relativity and gravitational theory (83-XX)
1 Integral equations (45-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year

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