Hao Pan

975 total citations
83 papers, 484 citations indexed

About

Hao Pan is a scholar working on Algebra and Number Theory, Discrete Mathematics and Combinatorics and Geometry and Topology. According to data from OpenAlex, Hao Pan has authored 83 papers receiving a total of 484 indexed citations (citations by other indexed papers that have themselves been cited), including 65 papers in Algebra and Number Theory, 47 papers in Discrete Mathematics and Combinatorics and 25 papers in Geometry and Topology. Recurrent topics in Hao Pan's work include Advanced Mathematical Identities (46 papers), Analytic Number Theory Research (44 papers) and Advanced Combinatorial Mathematics (26 papers). Hao Pan is often cited by papers focused on Advanced Mathematical Identities (46 papers), Analytic Number Theory Research (44 papers) and Advanced Combinatorial Mathematics (26 papers). Hao Pan collaborates with scholars based in China, United States and Finland. Hao Pan's co-authors include Zhi‐Wei Sun, Lingling Shi, Victor J. W. Guo, Jianxin Liu, Yong Zhang, Roberto Tauraso, Changxiang He, Lixia Dai, Robin Chapman and Junming Su and has published in prestigious journals such as Mathematics of Computation, Journal of Magnetism and Magnetic Materials and Journal of Mathematical Analysis and Applications.

In The Last Decade

Hao Pan

75 papers receiving 457 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Hao Pan China 12 402 261 144 77 53 83 484
Zhi-Hong Sun China 12 493 1.2× 209 0.8× 69 0.5× 135 1.8× 36 0.7× 61 529
Takashi Agoh Japan 9 226 0.6× 119 0.5× 85 0.6× 43 0.6× 20 0.4× 34 253
Richard J. McIntosh Canada 10 247 0.6× 153 0.6× 60 0.4× 48 0.6× 20 0.4× 24 300
Qing-Hu Hou China 10 158 0.4× 153 0.6× 76 0.5× 47 0.6× 94 1.8× 48 276
Christopher Pinner United States 11 151 0.4× 92 0.4× 60 0.4× 110 1.4× 69 1.3× 38 306
Jörg Brüdern Germany 13 594 1.5× 275 1.1× 61 0.4× 348 4.5× 38 0.7× 112 667
Scott Ahlgren United States 13 517 1.3× 218 0.8× 66 0.5× 154 2.0× 24 0.5× 46 582
T. D. Browning United Kingdom 13 364 0.9× 127 0.5× 108 0.8× 444 5.8× 81 1.5× 76 541
D. A. Goldston United States 14 418 1.0× 172 0.7× 65 0.5× 192 2.5× 10 0.2× 47 464
Keijo Väänänen Finland 10 133 0.3× 38 0.1× 127 0.9× 52 0.7× 41 0.8× 50 251

Countries citing papers authored by Hao Pan

Since Specialization
Citations

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

Fields of papers citing papers by Hao Pan

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Hao Pan

This figure shows the co-authorship network connecting the top 25 collaborators of Hao Pan. A scholar is included among the top collaborators of Hao Pan 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 Hao Pan. Hao Pan 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.
Pan, Hao, et al.. (2021). Congruences corresponding to hypergeometric identities I. F 1 2 transformations. Journal of Mathematical Analysis and Applications. 505(2). 125527–125527. 5 indexed citations
2.
Pan, Hao, et al.. (2017). A Stern-type congruence for the Schröder numbers. Discrete Mathematics. 340(4). 708–712. 3 indexed citations
3.
Guo, Victor J. W., et al.. (2016). Proof of a conjecture involving Sun polynomials. The Journal of Difference Equations and Applications. 22(8). 1184–1197. 4 indexed citations
4.
Guo, Victor J. W., et al.. (2016). The Rodriguez–Villegas type congruences for truncated q-hypergeometric functions. Journal of Number Theory. 174. 358–368. 17 indexed citations
5.
Pan, Hao, et al.. (2015). On the divisibility of the truncated hypergeometric function F23. Journal of Number Theory. 153. 346–353. 2 indexed citations
6.
Dai, Lixia & Hao Pan. (2014). Inverse Erdős–Fuchs theorem for k-fold sumsets. Journal of Number Theory. 140. 1–12. 1 indexed citations
7.
Dai, Lixia, et al.. (2012). NOTE ON ODD MULTIPERFECT NUMBERS. Bulletin of the Australian Mathematical Society. 87(3). 448–451. 3 indexed citations
8.
Pan, Hao & Zhi‐Wei Sun. (2012). Some q-congruences related to 3-adic valuations. Advances in Applied Mathematics. 49(3-5). 263–270. 3 indexed citations
9.
Pan, Hao. (2012). AN ELEMENTARY APPROACH TO $\binom{(p-1)/2}{(p-1)/4}$ modulo $p^2$. Taiwanese Journal of Mathematics. 16(6). 2197–2202. 2 indexed citations
10.
Pan, Hao & Zhi‐Wei Sun. (2010). On 2-adic orders of some binomial sums. Journal of Number Theory. 130(12). 2701–2706. 2 indexed citations
11.
Pan, Hao, et al.. (2009). Primes of the form ⌊αp+β⌋. Journal of Number Theory. 129(10). 2328–2334. 2 indexed citations
12.
Pan, Hao, et al.. (2009). Factors of alternating binomial sums. Advances in Applied Mathematics. 45(1). 96–107. 4 indexed citations
13.
Pan, Hao, et al.. (2009). Note on some congruences of Lehmer. Journal of Number Theory. 129(8). 1813–1819. 7 indexed citations
14.
Pan, Hao, et al.. (2009). Clique numbers of graphs and irreducible exact m-covers of the integers. Advances in Applied Mathematics. 43(1). 24–30. 1 indexed citations
15.
Pan, Hao & Zhi‐Wei Sun. (2009). A new extension of the Erdős–Heilbronn conjecture. Journal of Combinatorial Theory Series A. 116(8). 1374–1381. 4 indexed citations
16.
Pan, Hao. (2008). On consecutive happy numbers. Journal of Number Theory. 128(6). 1646–1654. 7 indexed citations
17.
Pan, Hao, et al.. (2007). Sums of products of Bernoulli numbers of the second kind. ˜The œFibonacci quarterly. 45(2). 146–150. 5 indexed citations
18.
Pan, Hao. (2006). Arithmetic properties of q-Fibonacci numbers and q-pell numbers. Discrete Mathematics. 306(17). 2118–2127. 7 indexed citations
19.
Pan, Hao & Zhi‐Wei Sun. (2005). New identities involving Bernoulli and Euler polynomials. Journal of Combinatorial Theory Series A. 113(1). 156–175. 31 indexed citations
20.
Pan, Hao. (2005). Note on integer powers in sumsets. Journal of Number Theory. 117(1). 216–221. 8 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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