Gerald E. Bergum

411 total citations
29 papers, 188 citations indexed

About

Gerald E. Bergum is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Gerald E. Bergum has authored 29 papers receiving a total of 188 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Statistical and Nonlinear Physics, 11 papers in Geometry and Topology and 6 papers in Mathematical Physics. Recurrent topics in Gerald E. Bergum's work include Advanced Mathematical Theories and Applications (17 papers), Mathematics and Applications (8 papers) and Advanced Mathematical Theories (6 papers). Gerald E. Bergum is often cited by papers focused on Advanced Mathematical Theories and Applications (17 papers), Mathematics and Applications (8 papers) and Advanced Mathematical Theories (6 papers). Gerald E. Bergum collaborates with scholars based in United States, Puerto Rico and Australia. Gerald E. Bergum's co-authors include V. E. Hoggatt, Ανδρέας Ν. Φιλίππου, A. F. Horadam, Verner E. Hoggatt, A. F. Horadam, Stefan Burr and Jonathan Jordan and has published in prestigious journals such as Duke Mathematical Journal, International Journal of Mathematics and Mathematical Sciences and The Fibonacci quarterly.

In The Last Decade

Gerald E. Bergum

28 papers receiving 164 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Gerald E. Bergum United States	7	102	61	53	43	43	29	188
Morgan Ward United States	7	41 0.4×	68 1.1×	51 1.0×	50 1.2×	33 0.8×	20	212
A. F. Horadam Australia	10	304 3.0×	142 2.3×	112 2.1×	103 2.4×	57 1.3×	36	420
Johann Cigler Austria	13	90 0.9×	235 3.9×	111 2.1×	92 2.1×	50 1.2×	37	400
Helmer Aslaksen Singapore	7	36 0.4×	66 1.1×	67 1.3×	117 2.7×	61 1.4×	21	230
Gordon Pall United States	6	20 0.2×	80 1.3×	46 0.9×	84 2.0×	85 2.0×	22	189
Lawrence Somer United States	9	40 0.4×	88 1.4×	23 0.4×	96 2.2×	85 2.0×	50	250
Arthur A. Sagle United States	8	56 0.5×	208 3.4×	62 1.2×	202 4.7×	47 1.1×	17	285
J. L. Ullman United States	10	35 0.3×	63 1.0×	106 2.0×	120 2.8×	72 1.7×	28	328
David J. Grabiner United States	7	21 0.2×	19 0.3×	130 2.5×	58 1.3×	38 0.9×	14	252
Armin Straub United States	10	26 0.3×	158 2.6×	51 1.0×	28 0.7×	35 0.8×	33	257

Countries citing papers authored by Gerald E. Bergum

Since Specialization

Citations

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

Fields of papers citing papers by Gerald E. Bergum

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gerald E. Bergum. 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 Gerald E. Bergum. The network helps show where Gerald E. Bergum may publish in the future.

Co-authorship network of co-authors of Gerald E. Bergum

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

All Works

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20 of 20 papers shown

1.

Bergum, Gerald E., Ανδρέας Ν. Φιλίππου, & A. F. Horadam. (1998). Proceedings of 'The Seventh International Research Conference on Fibonacci Numbers and Their Applications', Technische Universität, Graz, Austria, July 15-19, 1996. Kluwer Academic Publishers eBooks. 1 indexed citations

2.

Bergum, Gerald E., Ανδρέας Ν. Φιλίππου, & A. F. Horadam. (1991). Proceedings of 'The Fourth International Conference on Fibonacci Numbers and Their Applications', Wake Forest University, N.C., U.S.A., July 30-August 3, 1990. Kluwer Academic Publishers eBooks. 1 indexed citations

3.

Bergum, Gerald E., et al.. (1989). Recurring-Sequence Tiling. The Fibonacci quarterly. 27(4). 323–332. 3 indexed citations

4.

Bergum, Gerald E., et al.. (1989). Unique Fibonacci Formulas. The Fibonacci quarterly. 27(4). 296–302. 1 indexed citations

5.

Φιλίππου, Ανδρέας Ν., A. F. Horadam, & Gerald E. Bergum. (1988). Applications of Fibonacci Numbers. CERN Document Server (European Organization for Nuclear Research). 12 indexed citations

6.

Bergum, Gerald E., et al.. (1985). Jacobsthal Polynomials and a Conjecture Concerning Fibonacci-Like Matrices. The Fibonacci quarterly. 23(3). 240–248. 3 indexed citations

7.

Bergum, Gerald E.. (1984). Addenda to Geometry of a Generalized Simson’s Formula. The Fibonacci quarterly. 22(1). 22–28. 6 indexed citations

8.

Bergum, Gerald E. & Verner E. Hoggatt. (1979). Infinite Series with Fibonacci and Lucas Polynomials. The Fibonacci quarterly. 17(2). 147–150. 4 indexed citations

9.

Bergum, Gerald E. & V. E. Hoggatt. (1978). A Combinatorial Problem Involving Recursive Sequences and Tridiagonal Matrices. The Fibonacci quarterly. 16(2). 113–117. 2 indexed citations

10.

Bergum, Gerald E. & Verner E. Hoggatt. (1978). A Family of Tridiagonal Matrices. The Fibonacci quarterly. 16(3). 285–288. 2 indexed citations

11.

Hoggatt, V. E. & Gerald E. Bergum. (1977). A Problem of Fermat and the Fibonacci Sequence. The Fibonacci quarterly. 15(4). 323–330. 21 indexed citations

12.

Bergum, Gerald E. & V. E. Hoggatt. (1977). An Application of the Characteristic of the Generalized Fibonacci Sequence. The Fibonacci quarterly. 15(3). 215–219. 5 indexed citations

13.

Bergum, Gerald E. & Verner E. Hoggatt. (1977). Limits of Quotients for the Convolved Fibonacci Sequence and Related Sequences. The Fibonacci quarterly. 15(2). 113–115. 3 indexed citations

14.

Bergum, Gerald E. & V. E. Hoggatt. (1976). Numerator Polynomial Coefficient Array For the Convolved Fibonacci Sequence. The Fibonacci quarterly. 14(1). 43–47. 3 indexed citations

15.

Bergum, Gerald E., et al.. (1975). Chebyshev Polynomials and Related Sequences. The Fibonacci quarterly. 13(1). 19–24. 1 indexed citations

16.

Hoggatt, V. E. & Gerald E. Bergum. (1975). Generalized Convolution Arrays. The Fibonacci quarterly. 13(3). 193–197. 7 indexed citations

17.

Bergum, Gerald E. & V. E. Hoggatt. (1975). Sums and Products for Recurring Sequences. The Fibonacci quarterly. 13(2). 115–120. 17 indexed citations

18.

Bergum, Gerald E. & Verner E. Hoggatt. (1974). Irreducibility of Lucas and Generalized Lucas Polynomials. The Fibonacci quarterly. 12(1). 95–100. 13 indexed citations

19.

Hoggatt, Verner E. & Gerald E. Bergum. (1974). Divisibility and Congruence Relations. The Fibonacci quarterly. 12(2). 189–195. 6 indexed citations

20.

Bergum, Gerald E.. (1972). The distribution of kth power residues and non-residues in the integral domain Z(−2). Duke Mathematical Journal. 39(1). 4 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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