Verner E. Hoggatt

460 total citations
52 papers, 276 citations indexed

About

Verner E. Hoggatt is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Verner E. Hoggatt has authored 52 papers receiving a total of 276 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Statistical and Nonlinear Physics, 24 papers in Geometry and Topology and 13 papers in Mathematical Physics. Recurrent topics in Verner E. Hoggatt's work include Advanced Mathematical Theories and Applications (30 papers), Mathematics and Applications (22 papers) and Advanced Mathematical Theories (12 papers). Verner E. Hoggatt is often cited by papers focused on Advanced Mathematical Theories and Applications (30 papers), Mathematics and Applications (22 papers) and Advanced Mathematical Theories (12 papers). Verner E. Hoggatt collaborates with scholars based in United States, India and Canada. Verner E. Hoggatt's co-authors include Marjorie Bicknell, Calvin T. Long, Gerald E. Bergum, Richard Scoville, E. G. Straus and L. Carlitz and has published in prestigious journals such as American Mathematical Monthly, Canadian Journal of Mathematics and ˜The œFibonacci quarterly.

In The Last Decade

Verner E. Hoggatt

49 papers receiving 250 citations

Peers

Verner E. Hoggatt
Marjorie Bicknell United States
A. F. Horadam Australia
Andrea Brini Italy
Dorin Andrica Romania
Gordon Pall United States
Alf van der Poorten Australia
Douglas Hensley United States
Gregory S. Call United States
Richard Scoville United States
Harold Stark United States
Marjorie Bicknell United States
Verner E. Hoggatt
Citations per year, relative to Verner E. Hoggatt Verner E. Hoggatt (= 1×) peers Marjorie Bicknell

Countries citing papers authored by Verner E. Hoggatt

Since Specialization
Citations

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

Fields of papers citing papers by Verner E. Hoggatt

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Verner E. Hoggatt

This figure shows the co-authorship network connecting the top 25 collaborators of Verner E. Hoggatt. A scholar is included among the top collaborators of Verner E. Hoggatt 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 Verner E. Hoggatt. Verner E. Hoggatt 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.
Hoggatt, Verner E., et al.. (1980). Another Proof that ϕ ( F n ) ≡ 0 mod 4 for All n > 4. ˜The œFibonacci quarterly. 18(1). 80–82. 1 indexed citations
2.
Hoggatt, Verner E., et al.. (1979). Generating Functions of Central Values in Generalized Pascal Triangles. ˜The œFibonacci quarterly. 17(1). 58–67. 4 indexed citations
3.
Hoggatt, Verner E., et al.. (1979). A Study of the Maximal Values in Pascal’s Quadrinomial Triangle. ˜The œFibonacci quarterly. 17(3). 264–269. 2 indexed citations
4.
Hoggatt, Verner E.. (1977). A Note on the Summation of Squares. ˜The œFibonacci quarterly. 15(4). 367–369. 1 indexed citations
5.
Hoggatt, Verner E., et al.. (1977). Generalized Lucas Sequences. ˜The œFibonacci quarterly. 15(2). 131–139. 2 indexed citations
6.
Hoggatt, Verner E., et al.. (1973). A Primer for the Fibonacci Numbers Part XI: Multisection Generating Functions for the Columns of Pascal's Triangle. ˜The œFibonacci quarterly. 11(1). 85–90. 2 indexed citations
7.
Carlitz, L., Richard Scoville, & Verner E. Hoggatt. (1972). Representations for a Special Sequence. ˜The œFibonacci quarterly. 10(5). 499–518. 3 indexed citations
8.
Hoggatt, Verner E.. (1971). Some Special Fibonacci and Lucas Generating Functions. ˜The œFibonacci quarterly. 9(2). 121–133. 10 indexed citations
9.
Bicknell, Marjorie & Verner E. Hoggatt. (1971). A Primer for the Fibonacci Numbers: Part IX. ˜The œFibonacci quarterly. 9(5). 529–537. 2 indexed citations
10.
Hoggatt, Verner E.. (1970). Combinatorial Problems for Generalized Fibonacci Numbers. ˜The œFibonacci quarterly. 8(5). 456–462. 3 indexed citations
11.
Hoggatt, Verner E.. (1970). Convolution Triangles for Generalized Fibonacci Numbers. ˜The œFibonacci quarterly. 8(2). 158–171. 14 indexed citations
12.
Hoggatt, Verner E., et al.. (1970). An Extension of Fibonacci Numbers - II. ˜The œFibonacci quarterly. 8(2). 199–216. 3 indexed citations
13.
Bicknell, Marjorie & Verner E. Hoggatt. (1969). Golden Triangles, Rectangles, and Cuboids. ˜The œFibonacci quarterly. 7(1). 73–91. 7 indexed citations
14.
Hoggatt, Verner E. & Marjorie Bicknell. (1964). Fourth Power Fibonacci Identities from Pascal’s Triangle. ˜The œFibonacci quarterly. 2(4). 261–266. 8 indexed citations
15.
Hoggatt, Verner E., et al.. (1964). A Primer For The Fibonacci Numbers - Part V. ˜The œFibonacci quarterly. 2(1). 59–66. 4 indexed citations
16.
Hoggatt, Verner E. & Marjorie Bicknell. (1964). Some New Fibonacci Identities. ˜The œFibonacci quarterly. 2(1). 29–31. 11 indexed citations
17.
Hoggatt, Verner E., et al.. (1963). A Primer for the Fibonacci Sequence - Part III. ˜The œFibonacci quarterly. 1(3). 61–65. 6 indexed citations
18.
Hoggatt, Verner E.. (1963). Advanced Problems and Solutions. ˜The œFibonacci quarterly. 1(1). 46–48. 1 indexed citations
19.
Hoggatt, Verner E.. (1963). Advanced Problems and Solutions. ˜The œFibonacci quarterly. 1(4). 47–52. 4 indexed citations
20.
Hoggatt, Verner E., et al.. (1961). Acute Isosceles Dissection of an Obtuse Triangle. American Mathematical Monthly. 68(9). 912–912. 1 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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