Wayne L. McDaniel

418 total citations
34 papers, 238 citations indexed

About

Wayne L. McDaniel is a scholar working on Algebra and Number Theory, Statistical and Nonlinear Physics and Mathematical Physics. According to data from OpenAlex, Wayne L. McDaniel has authored 34 papers receiving a total of 238 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Algebra and Number Theory, 13 papers in Statistical and Nonlinear Physics and 11 papers in Mathematical Physics. Recurrent topics in Wayne L. McDaniel's work include Analytic Number Theory Research (15 papers), Advanced Mathematical Theories and Applications (13 papers) and Advanced Mathematical Identities (10 papers). Wayne L. McDaniel is often cited by papers focused on Analytic Number Theory Research (15 papers), Advanced Mathematical Theories and Applications (13 papers) and Advanced Mathematical Identities (10 papers). Wayne L. McDaniel collaborates with scholars based in United States and Canada. Wayne L. McDaniel's co-authors include Peter Hagis, Paulo Ribenboim and Bryant Tuckerman and has published in prestigious journals such as Mathematics of Computation, Proceedings of the American Mathematical Society and Journal of Number Theory.

In The Last Decade

Wayne L. McDaniel

30 papers receiving 183 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Wayne L. McDaniel United States 10 171 101 88 59 58 34 238
Yuri Valentinovich Nesterenko Russia 8 157 0.9× 44 0.4× 148 1.7× 87 1.5× 19 0.3× 15 286
Richard H. Hudson United States 10 200 1.2× 23 0.2× 141 1.6× 95 1.6× 44 0.8× 57 312
Morgan Ward United States 7 68 0.4× 41 0.4× 50 0.6× 51 0.9× 16 0.3× 20 212
Kumiko Nishioka Japan 10 97 0.6× 49 0.5× 71 0.8× 110 1.9× 13 0.2× 28 269
LE Mao-hua China 10 264 1.5× 73 0.7× 324 3.7× 183 3.1× 32 0.6× 112 400
Nicholas Katz United States 2 171 1.0× 29 0.3× 91 1.0× 153 2.6× 9 0.2× 3 250
A. Grishkov Brazil 8 161 0.9× 22 0.2× 217 2.5× 37 0.6× 57 1.0× 69 263
Hubert Delange France 11 200 1.2× 14 0.1× 102 1.2× 128 2.2× 22 0.4× 43 354
Cristian Cobeli Romania 9 159 0.9× 22 0.2× 80 0.9× 95 1.6× 9 0.2× 37 222
Dennis R. Estes United States 9 159 0.9× 11 0.1× 173 2.0× 67 1.1× 17 0.3× 34 275

Countries citing papers authored by Wayne L. McDaniel

Since Specialization
Citations

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

Fields of papers citing papers by Wayne L. McDaniel

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Wayne L. McDaniel. 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 Wayne L. McDaniel. The network helps show where Wayne L. McDaniel may publish in the future.

Co-authorship network of co-authors of Wayne L. McDaniel

This figure shows the co-authorship network connecting the top 25 collaborators of Wayne L. McDaniel. A scholar is included among the top collaborators of Wayne L. McDaniel 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 Wayne L. McDaniel. Wayne L. McDaniel 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.
McDaniel, Wayne L.. (2001). On the Factorization of Lucas Numbers. ˜The œFibonacci quarterly. 39(3). 206–210. 2 indexed citations
2.
McDaniel, Wayne L.. (1998). Pronic Lucas Numbers. ˜The œFibonacci quarterly. 36(1). 60–62. 1 indexed citations
3.
McDaniel, Wayne L. & Paulo Ribenboim. (1998). Square-Classes in Lucas Sequences Having Odd Parameters. Journal of Number Theory. 73(1). 14–27. 13 indexed citations
4.
McDaniel, Wayne L.. (1998). Pronic Fibonacci Numbers. ˜The œFibonacci quarterly. 36(1). 56–59. 2 indexed citations
5.
McDaniel, Wayne L.. (1996). Triangular Numbers in the Pell Sequence. ˜The œFibonacci quarterly. 34(2). 105–107. 9 indexed citations
6.
Ribenboim, Paulo & Wayne L. McDaniel. (1996). The Square Terms in Lucas Sequences. Journal of Number Theory. 58(1). 104–123. 39 indexed citations
7.
McDaniel, Wayne L.. (1994). The Irrationality of Certain Series Whose Terms Are Reciprocals of Lucas Sequence Terms. ˜The œFibonacci quarterly. 32(4). 346–351. 1 indexed citations
8.
McDaniel, Wayne L.. (1993). Square Lehmer numbers. Colloquium Mathematicum. 66(1). 85–93. 2 indexed citations
9.
Ribenboim, Paulo & Wayne L. McDaniel. (1991). Square classes of Lucas sequences. Portugaliae Mathematica. 48(4). 469–473. 8 indexed citations
10.
McDaniel, Wayne L.. (1989). Some pseudoprimes and related numbers having special forms. Mathematics of Computation. 53(187). 407–409.
11.
McDaniel, Wayne L.. (1989). Difference of the digital sums of an integer base b and its prime factors. Journal of Number Theory. 31(2). 91–98. 1 indexed citations
12.
McDaniel, Wayne L.. (1987). The Existence of Infinitely Many k -Smith Numbers. ˜The œFibonacci quarterly. 25(1). 76–80. 1 indexed citations
13.
McDaniel, Wayne L.. (1982). Representations of Every Integer as the Difference of Powerful Numbers. ˜The œFibonacci quarterly. 20(1). 85–87. 2 indexed citations
14.
Hagis, Peter & Wayne L. McDaniel. (1975). On the Largest Prime Divisor of an Odd Perfect Number. II. Mathematics of Computation. 29(131). 922–922. 15 indexed citations
15.
Hagis, Peter & Wayne L. McDaniel. (1975). On the largest prime divisor of an odd perfect number. II. Mathematics of Computation. 29(131). 922–924. 16 indexed citations
16.
McDaniel, Wayne L.. (1974). On Multiple Prime Divisors of Cyclotomic Polynomials. Mathematics of Computation. 28(127). 847–847. 1 indexed citations
17.
Hagis, Peter & Wayne L. McDaniel. (1973). On the Largest Prime Divisor of an Odd Perfect Number. Mathematics of Computation. 27(124). 955–955. 12 indexed citations
18.
Hagis, Peter & Wayne L. McDaniel. (1972). A New Result Concerning the Structure of Odd Perfect Numbers. Proceedings of the American Mathematical Society. 32(1). 13–13. 3 indexed citations
19.
McDaniel, Wayne L.. (1971). On the divisibility of an odd perfect number by the sixth power of a prime. Mathematics of Computation. 25(114). 383–385. 3 indexed citations
20.
McDaniel, Wayne L.. (1971). On the Divisibility of an Odd Perfect Number by the Sixth Power of a Prime. Mathematics of Computation. 25(114). 383–383. 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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