Ji-Cai Liu

624 total citations · 1 hit paper
41 papers, 377 citations indexed

About

Ji-Cai Liu is a scholar working on Algebra and Number Theory, Discrete Mathematics and Combinatorics and Applied Mathematics. According to data from OpenAlex, Ji-Cai Liu has authored 41 papers receiving a total of 377 indexed citations (citations by other indexed papers that have themselves been cited), including 40 papers in Algebra and Number Theory, 24 papers in Discrete Mathematics and Combinatorics and 10 papers in Applied Mathematics. Recurrent topics in Ji-Cai Liu's work include Advanced Mathematical Identities (40 papers), Analytic Number Theory Research (28 papers) and Advanced Combinatorial Mathematics (24 papers). Ji-Cai Liu is often cited by papers focused on Advanced Mathematical Identities (40 papers), Analytic Number Theory Research (28 papers) and Advanced Combinatorial Mathematics (24 papers). Ji-Cai Liu collaborates with scholars based in China, Austria and Russia. Ji-Cai Liu's co-authors include Victor J. W. Guo, Fedor Petrov, Michael J. Schlosser and Jing Liu and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Proceedings of the American Mathematical Society and Annali di Matematica Pura ed Applicata (1923 -).

In The Last Decade

Ji-Cai Liu

35 papers receiving 366 citations

Hit Papers

align trajectories sort by overperformance

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Congruences on sums of q-binomial coefficients

2020 71 citations Ji-Cai Liu, Fedor Petrov Advances in Applied Mathematics profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Ji-Cai Liu China	10	363	170	162	52	21	41	377
Taekyun Kim South Korea	10	275 0.8×	171 1.0×	124 0.8×	54 1.0×	19 0.9×	26	300
Hacer Özden Türkiye	14	585 1.6×	371 2.2×	280 1.7×	67 1.3×	47 2.2×	25	616
Veli Kurt Türkiye	12	314 0.9×	181 1.1×	178 1.1×	54 1.0×	20 1.0×	33	344
Ae Ja Yee United States	14	532 1.5×	399 2.3×	104 0.6×	61 1.2×	41 2.0×	62	550
Nancy S. S. Gu China	8	203 0.6×	145 0.9×	73 0.5×	18 0.3×	19 0.9×	34	233
Maksym Radziwiłł United States	10	251 0.7×	113 0.7×	50 0.3×	134 2.6×	83 4.0×	34	283
Minking Eie Taiwan	11	257 0.7×	191 1.1×	50 0.3×	40 0.8×	47 2.2×	51	315
Karl Mahlburg United States	11	264 0.7×	211 1.2×	33 0.2×	70 1.3×	51 2.4×	32	305
Chuanan Wei China	9	199 0.5×	62 0.4×	137 0.8×	11 0.2×	16 0.8×	45	226
Jeremy Lovejoy France	10	496 1.4×	385 2.3×	81 0.5×	51 1.0×	57 2.7×	22	520

Countries citing papers authored by Ji-Cai Liu

Since Specialization

Citations

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

Fields of papers citing papers by Ji-Cai Liu

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Ji-Cai Liu. 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 Ji-Cai Liu. The network helps show where Ji-Cai Liu may publish in the future.

Co-authorship network of co-authors of Ji-Cai Liu

This figure shows the co-authorship network connecting the top 25 collaborators of Ji-Cai Liu. A scholar is included among the top collaborators of Ji-Cai Liu 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 Ji-Cai Liu. Ji-Cai Liu 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.

Liu, Ji-Cai. (2025). A general positivity result on coefficients of certain q-series. Journal of Algebraic Combinatorics. 62(3).

2.

Liu, Ji-Cai, et al.. (2025). q-Supercongruences Motivated by Carlitz’s Formula. Mediterranean Journal of Mathematics. 22(5).

3.

Liu, Ji-Cai, et al.. (2024). A q-SUPERCONGRUENCE ARISING FROM ANDREWS’ $_4\phi _3$ IDENTITY. Bulletin of the Australian Mathematical Society. 111(2). 223–227.

4.

Liu, Ji-Cai. (2024). On the vanishing coefficients of odd powers of Ramanujan’s theta functions. The Ramanujan Journal. 65(1). 45–52.

5.

Guo, Victor J. W., Ji-Cai Liu, & Michael J. Schlosser. (2022). An extension of a supercongruence of Long and Ramakrishna. Proceedings of the American Mathematical Society. 151(3). 1157–1166. 8 indexed citations

6.

Liu, Ji-Cai. (2021). Supercongruences for sums involving Domb numbers. Bulletin des Sciences Mathématiques. 169. 102992–102992. 1 indexed citations

7.

Liu, Ji-Cai. (2020). Some supercongruences arising from symbolic summation. Journal of Mathematical Analysis and Applications. 488(1). 124062–124062. 4 indexed citations

8.

Liu, Ji-Cai & Fedor Petrov. (2020). Congruences on sums of q-binomial coefficients. Advances in Applied Mathematics. 116. 102003–102003. 71 indexed citations breakdown →

9.

Liu, Ji-Cai. (2020). A supercongruence relation among Ap. Colloquium Mathematicum. 163(2). 333–340. 1 indexed citations

10.

Liu, Ji-Cai. (2020). On two congruences involving Franel numbers. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 114(4). 2 indexed citations

11.

Guo, Victor J. W. & Ji-Cai Liu. (2019). Some congruences related to a congruence of Van Hamme. Integral Transforms and Special Functions. 31(3). 221–231. 25 indexed citations

12.

Guo, Victor J. W. & Ji-Cai Liu. (2018). q-Analogues of two Ramanujan-type formulas for 1/π. The Journal of Difference Equations and Applications. 24(8). 1368–1373. 44 indexed citations

13.

Liu, Ji-Cai, et al.. (2018). CONGRUENCES FOR THE TH APÉRY NUMBER. Bulletin of the Australian Mathematical Society. 99(3). 362–368. 6 indexed citations

14.

Liu, Ji-Cai. (2018). A generalized supercongruence of Kimoto and Wakayama. Journal of Mathematical Analysis and Applications. 467(1). 15–25. 7 indexed citations

15.

Liu, Ji-Cai. (2018). On Van Hamme's (A.2) and (H.2) supercongruences. Journal of Mathematical Analysis and Applications. 471(1-2). 613–622. 28 indexed citations

16.

Liu, Ji-Cai, et al.. (2018). Some congruences on Delannoy numbers and Schröder numbers. International Journal of Number Theory. 14(7). 2035–2041. 4 indexed citations

17.

Liu, Ji-Cai. (2018). Semi-automated proof of supercongruences on partial sums of hypergeometric series. Journal of Symbolic Computation. 93. 221–229. 19 indexed citations

18.

Liu, Ji-Cai. (2017). CONGRUENCES FOR TRUNCATED HYPERGEOMETRIC SERIES. Bulletin of the Australian Mathematical Society. 96(1). 14–23. 15 indexed citations

19.

Liu, Ji-Cai. (2016). A supercongruence involving Delannoy numbers and Schröder numbers. Journal of Number Theory. 168. 117–127. 15 indexed citations

20.

Guo, Victor J. W. & Ji-Cai Liu. (2015). Proof of a conjecture of Z.-W. Sun on the divisibility of a triple sum. Journal of Number Theory. 156. 154–160.

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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