Trygve Nagell

1.1k total citations
37 papers, 505 citations indexed

About

Trygve Nagell is a scholar working on Geometry and Topology, Applied Mathematics and Algebra and Number Theory. According to data from OpenAlex, Trygve Nagell has authored 37 papers receiving a total of 505 indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Geometry and Topology, 14 papers in Applied Mathematics and 9 papers in Algebra and Number Theory. Recurrent topics in Trygve Nagell's work include Advanced Differential Equations and Dynamical Systems (8 papers), Algebraic Geometry and Number Theory (7 papers) and Meromorphic and Entire Functions (6 papers). Trygve Nagell is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (8 papers), Algebraic Geometry and Number Theory (7 papers) and Meromorphic and Entire Functions (6 papers). Trygve Nagell collaborates with scholars based in Pakistan and France. Trygve Nagell's co-authors include Albert Leon Whiteman and Paulo Ribenboim and has published in prestigious journals such as American Mathematical Monthly, Acta Mathematica and Arkiv för matematik.

In The Last Decade

Trygve Nagell

30 papers receiving 371 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Trygve Nagell Pakistan 10 254 199 113 94 80 37 505
Oskar Perron Germany 8 135 0.5× 122 0.6× 136 1.2× 60 0.6× 32 0.4× 23 548
J. H. E. Cohn United Kingdom 14 254 1.0× 193 1.0× 142 1.3× 88 0.9× 117 1.5× 48 595
Hans Riesel Sweden 9 131 0.5× 205 1.0× 38 0.3× 146 1.6× 62 0.8× 40 447
Albert Leon Whiteman United States 12 134 0.5× 141 0.7× 64 0.6× 203 2.2× 98 1.2× 27 530
Harold G. Diamond United States 15 241 0.9× 429 2.2× 229 2.0× 78 0.8× 122 1.5× 63 695
Jacques Martinet France 11 260 1.0× 144 0.7× 125 1.1× 97 1.0× 94 1.2× 36 437
C. L. Stewart Canada 16 352 1.4× 424 2.1× 178 1.6× 127 1.4× 169 2.1× 57 663
Ivan Matveevich Vinogradov 4 63 0.2× 156 0.8× 69 0.6× 101 1.1× 82 1.0× 5 329
Günter Ewald Germany 10 287 1.1× 146 0.7× 71 0.6× 32 0.3× 154 1.9× 17 465
Peter Shiu United Kingdom 9 379 1.5× 432 2.2× 207 1.8× 126 1.3× 161 2.0× 46 731

Countries citing papers authored by Trygve Nagell

Since Specialization
Citations

This map shows the geographic impact of Trygve Nagell'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 Trygve Nagell with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Trygve Nagell more than expected).

Fields of papers citing papers by Trygve Nagell

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Trygve Nagell. 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 Trygve Nagell. The network helps show where Trygve Nagell may publish in the future.

Co-authorship network of co-authors of Trygve Nagell

This figure shows the co-authorship network connecting the top 25 collaborators of Trygve Nagell. A scholar is included among the top collaborators of Trygve Nagell 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 Trygve Nagell. Trygve Nagell is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Nagell, Trygve & Paulo Ribenboim. (2002). Collected papers of Trygve Nagell. 2 indexed citations
2.
Nagell, Trygve. (1972). Sur la résolubilité de l'équation $x^2 + y^2 + z^2 = 0$ dans un corps quadratique. Acta Arithmetica. 21. 35–43. 1 indexed citations
3.
Nagell, Trygve. (1971). Sur la solubilité en nombres entiers dos équations du second degré à deux indéterminées. Acta Arithmetica. 18. 105–114. 1 indexed citations
4.
Nagell, Trygve. (1970). Quelques problèmes relatifs aux unités algébriques. Arkiv för matematik. 8(2). 115–127. 8 indexed citations
5.
Nagell, Trygve. (1968). Remarques sur les formes à plusieurs variables décomposables en facteurs linéaires. Arkiv för matematik. 7(4). 313–329. 1 indexed citations
6.
Nagell, Trygve. (1968). Sur les unités dans les corps biquadratiques primitifs du premier rang. Arkiv för matematik. 7(4). 359–394. 8 indexed citations
7.
Nagell, Trygve. (1967). Sur quelques propriétés arithmétiques des formes binaires à coefficients entiers. Arkiv för matematik. 7(3). 241–248. 2 indexed citations
8.
Nagell, Trygve. (1966). Quelques résultats sur les diviseurs fixes de l'index des nombres entiers d'un corps algébrique. Arkiv för matematik. 6(3). 269–289. 4 indexed citations
9.
Nagell, Trygve. (1965). Contributions à la théorie des modules et des anneaux algébriques. Arkiv för matematik. 6(2). 161–178. 7 indexed citations
10.
Nagell, Trygve. (1964). Sur une propriété des unités d'un corps algébrique. Arkiv för matematik. 5(3-4). 343–356. 18 indexed citations
11.
Nagell, Trygve. (1963). Contributions à la théorie des corps et des polynomes cyclotomiques. Arkiv för matematik. 5(1-2). 153–192. 5 indexed citations
12.
Nagell, Trygve. (1962). On the number of representations of an A-number in an algebraic field. Arkiv för matematik. 4(5). 467–478. 1 indexed citations
13.
Nagell, Trygve. (1961). On the sum of two integral squares in certain quadratic fields. Arkiv för matematik. 4(2-3). 267–286. 6 indexed citations
14.
Nagell, Trygve. (1961). The Diophantine equation x2+7=2n. Arkiv för matematik. 4(2-3). 185–187. 36 indexed citations
15.
Nagell, Trygve. (1960). Anders Wiman in memoriam. Acta Mathematica. 103(1-2). I–VI. 1 indexed citations
16.
Nagell, Trygve. (1958). On linear recurrences with constant coefficients. Arkiv för matematik. 3(5). 395–401. 5 indexed citations
17.
Nagell, Trygve. (1956). Sur quelques problèmes dans la théorie des restes quadratiques et cubiques. Arkiv för matematik. 3(3). 211–222. 4 indexed citations
18.
Nagell, Trygve. (1955). On the diophantine equation x2+8D=yn. Arkiv för matematik. 3(2). 103–112. 7 indexed citations
19.
Nagell, Trygve. (1954). Verallgemeinerung einesFermatschen Satzes. Archiv der Mathematik. 5(1-3). 153–159. 11 indexed citations
20.
Nagell, Trygve. (1954). On a special class of diophantine equations of the second degree. Arkiv för matematik. 3(1). 51–65. 14 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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