Ivan Niven

4.2k total citations · 1 hit paper
66 papers, 2.2k citations indexed

About

Ivan Niven is a scholar working on Geometry and Topology, Theoretical Computer Science and Mathematical Physics. According to data from OpenAlex, Ivan Niven has authored 66 papers receiving a total of 2.2k indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Geometry and Topology, 13 papers in Theoretical Computer Science and 11 papers in Mathematical Physics. Recurrent topics in Ivan Niven's work include Mathematics and Applications (18 papers), History and Theory of Mathematics (13 papers) and Computational Geometry and Mesh Generation (7 papers). Ivan Niven is often cited by papers focused on Mathematics and Applications (18 papers), History and Theory of Mathematics (13 papers) and Computational Geometry and Mesh Generation (7 papers). Ivan Niven collaborates with scholars based in United States and United Kingdom. Ivan Niven's co-authors include Herbert S. Zuckerman, W. J. LeVeque, G. L. Watson, Hannah Zuckerman, Charles Vanden Eynden, P. Erdös, Gerald L. Alexanderson, R. D. James, Albert A. Mullin and Bernard Friedman and has published in prestigious journals such as Journal of the American Statistical Association, Mathematics of Computation and American Journal of Physics.

In The Last Decade

Ivan Niven

57 papers receiving 1.7k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

An Introduction to the Theory of Numbers.

1961 1.3k citations Ivan Niven et al. American Mathematical Monthly profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Ivan Niven United States	18	593	526	502	402	375	66	2.2k
W. J. LeVeque	11	547 0.9×	430 0.8×	540 1.1×	422 1.0×	371 1.0×	21	1.9k
Kenneth Ireland Canada	6	768 1.3×	399 0.8×	794 1.6×	450 1.1×	705 1.9×	9	2.0k
Jean Dieudonné United States	27	1.1k 1.9×	434 0.8×	742 1.5×	986 2.5×	251 0.7×	113	2.7k
Emil Artin United States	12	751 1.3×	260 0.5×	471 0.9×	459 1.1×	253 0.7×	25	1.6k
Hans Zassenhaus United States	24	1.1k 1.9×	658 1.3×	917 1.8×	606 1.5×	487 1.3×	122	3.0k
Morris Newman United States	22	568 1.0×	541 1.0×	702 1.4×	361 0.9×	150 0.4×	169	1.9k
N.G. de Bruijn Netherlands	15	274 0.5×	690 1.3×	297 0.6×	352 0.9×	759 2.0×	54	2.4k
P. Túrán Hungary	21	427 0.7×	543 1.0×	573 1.1×	470 1.2×	218 0.6×	77	2.7k
E. G. Straus United States	24	504 0.8×	809 1.5×	312 0.6×	337 0.8×	180 0.5×	102	1.9k
Basil Gordon United States	23	479 0.8×	348 0.7×	757 1.5×	292 0.7×	320 0.9×	79	1.7k

Countries citing papers authored by Ivan Niven

Since Specialization

Citations

This map shows the geographic impact of Ivan Niven's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Ivan Niven with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ivan Niven more than expected).

Fields of papers citing papers by Ivan Niven

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Ivan Niven. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Ivan Niven. The network helps show where Ivan Niven may publish in the future.

Co-authorship network of co-authors of Ivan Niven

This figure shows the co-authorship network connecting the top 25 collaborators of Ivan Niven. A scholar is included among the top collaborators of Ivan Niven based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Ivan Niven. Ivan Niven is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Niven, Ivan. (1981). Maxima and Minima Without Calculus. American Mathematical Society eBooks. 40 indexed citations

2.

Niven, Ivan, et al.. (1976). Einführung in die Zahlentheorie. 2 indexed citations

3.

Niven, Ivan. (1976). A New Proof of Routh's Theorem. Mathematics Magazine. 49(1). 25–25. 2 indexed citations

4.

Niven, Ivan & Barry Powell. (1976). Primes in Certain Arithmetic Progressions. American Mathematical Monthly. 83(6). 467–467. 2 indexed citations

5.

Niven, Ivan. (1976). A New Proof of Routh's Theorem. Mathematics Magazine. 49(1). 25–27. 4 indexed citations

6.

Erdös, P., et al.. (1975). Conditions for a Zero Sum Modulo n. Canadian Mathematical Bulletin. 18(1). 27–29. 27 indexed citations

7.

Niven, Ivan. (1969). Averages of exponents in factoring integers. Proceedings of the American Mathematical Society. 22(2). 356–360. 7 indexed citations

8.

Niven, Ivan. (1969). Averages of Exponents in Factoring Integers. Proceedings of the American Mathematical Society. 22(2). 356–356. 2 indexed citations

9.

Niven, Ivan. (1969). Formal Power Series. American Mathematical Monthly. 76(8). 871–889. 74 indexed citations

10.

Niven, Ivan. (1969). Sums of Sets of Integers.. 1 indexed citations

11.

Niven, Ivan, et al.. (1964). Diophantine Approximations.. American Mathematical Monthly. 71(6). 710–710. 23 indexed citations

12.

Niven, Ivan. (1962). On asymmetric Diophantine approximations.. The Michigan Mathematical Journal. 9(2). 4 indexed citations

13.

Niven, Ivan, et al.. (1962). New Mathematical Library.. American Mathematical Monthly. 69(5). 444–444. 9 indexed citations

14.

Niven, Ivan. (1961). Uniform distribution of sequences of integers. Transactions of the American Mathematical Society. 98(1). 52–61. 34 indexed citations

15.

Niven, Ivan. (1961). Uniform Distribution of Sequences of Integers. Transactions of the American Mathematical Society. 98(1). 52–52. 10 indexed citations

16.

Niven, Ivan & G. L. Watson. (1961). Integral Quadratic Forms.. American Mathematical Monthly. 68(7). 684–684. 70 indexed citations

17.

Friedman, Bernard & Ivan Niven. (1959). The Average First Recurrence Time. Transactions of the American Mathematical Society. 92(1). 25–25. 3 indexed citations

18.

Friedman, Bernard & Ivan Niven. (1959). The average first recurrence time. Transactions of the American Mathematical Society. 92(1). 25–34. 5 indexed citations

19.

Niven, Ivan. (1951). Functions which represent prime numbers. Proceedings of the American Mathematical Society. 2(5). 753–755. 4 indexed citations

20.

Niven, Ivan. (1951). Functions Which Represent Prime Numbers. Proceedings of the American Mathematical Society. 2(5). 753–753. 3 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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