Cristina Ballantine

428 total citations
48 papers, 187 citations indexed

About

Cristina Ballantine is a scholar working on Discrete Mathematics and Combinatorics, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Cristina Ballantine has authored 48 papers receiving a total of 187 indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Discrete Mathematics and Combinatorics, 36 papers in Algebra and Number Theory and 11 papers in Mathematical Physics. Recurrent topics in Cristina Ballantine's work include Advanced Mathematical Identities (34 papers), Advanced Combinatorial Mathematics (34 papers) and Analytic Number Theory Research (22 papers). Cristina Ballantine is often cited by papers focused on Advanced Mathematical Identities (34 papers), Advanced Combinatorial Mathematics (34 papers) and Analytic Number Theory Research (22 papers). Cristina Ballantine collaborates with scholars based in United States, Romania and Canada. Cristina Ballantine's co-authors include Mircea Merca, Rosa Orellana, Ae Ja Yee, George E. Andrews, George R. Beck, Amanda Folsom, William Craig, John B. Little, Bruce E. Sagan and John A. Rhodes and has published in prestigious journals such as Proceedings of the National Academy of Sciences, American Mathematical Monthly and Proceedings of the American Mathematical Society.

In The Last Decade

Cristina Ballantine

40 papers receiving 179 citations

Peers

Cristina Ballantine

ANT

DMC

GT

MP

CTM

Raman Sanyal Germany

Mark Wildon United Kingdom

Lenny Fukshansky United States

A. V. Mikhalev Russia

Botong Wang United States

Frazer Jarvis United Kingdom

Kevin Broughan New Zealand

Bahman Saffari France

Boris Venkov Russia

Shaofang Hong China

Raman Sanyal Germany

Cristina Ballantine

37 ×0.4

ANT

87 ×0.9

DMC

50 ×1.2

GT

30 ×0.8

MP

75 ×3.3

CTM

Citations per year, relative to Cristina Ballantine Cristina Ballantine (= 1×) peers Raman Sanyal

Countries citing papers authored by Cristina Ballantine

Since Specialization

Citations

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

Fields of papers citing papers by Cristina Ballantine

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Cristina Ballantine

This figure shows the co-authorship network connecting the top 25 collaborators of Cristina Ballantine. A scholar is included among the top collaborators of Cristina Ballantine 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 Cristina Ballantine. Cristina Ballantine 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.

Ballantine, Cristina, George R. Beck, & Mircea Merca. (2025). Partitions and elementary symmetric polynomials: an experimental approach. The Ramanujan Journal. 66(2).

2.

Ballantine, Cristina, et al.. (2025). Combinatorial proofs of inequalities involving the number of partitions with parts separated by parity. The Ramanujan Journal. 67(3).

3.

Ballantine, Cristina, et al.. (2024). Generalizations of POD and PED partitions. Discrete Mathematics. 347(11). 114150–114150. 1 indexed citations

4.

Ballantine, Cristina, et al.. (2024). Truncated theta series related to the Jacobi Triple Product identity. Discrete Mathematics. 348(2). 114319–114319. 3 indexed citations

5.

Ballantine, Cristina, George R. Beck, Mircea Merca, & Bruce E. Sagan. (2024). Elementary Symmetric Partitions. Annals of Combinatorics. 30(1). 155–176. 2 indexed citations

6.

Amdeberhan, Tewodros, George E. Andrews, & Cristina Ballantine. (2023). Hook length and symplectic content in partitions. Journal of Combinatorial Theory Series A. 200. 105794–105794.

7.

Ballantine, Cristina & Mircea Merca. (2023). Congruences modulo 4 for the number of 3 -regular partitions. Comptes Rendus Mathématique. 361(G9). 1577–1583.

8.

Ballantine, Cristina, et al.. (2023). Beck-type companion identities for Franklin's identity. Contributions to Discrete Mathematics. 18(1). 53–65. 1 indexed citations

9.

Ballantine, Cristina, et al.. (2022). PED and POD partitions: Combinatorial proofs of recurrence relations. Discrete Mathematics. 346(3). 113259–113259. 2 indexed citations

10.

Andrews, George E. & Cristina Ballantine. (2019). Almost partition identities. Proceedings of the National Academy of Sciences. 116(12). 5428–5436. 5 indexed citations

11.

Ballantine, Cristina & Mircea Merca. (2019). A family of lacunary recurrences for Fibonacci numbers. Miskolc mathematical notes/Mathematical notes. 20(2). 767–767. 1 indexed citations

12.

Ballantine, Cristina & Mircea Merca. (2019). Combinatorial proofs of two theorems related to the number of even parts in all partitions of n into distinct parts. The Ramanujan Journal. 54(1). 107–112. 2 indexed citations

13.

Ballantine, Cristina & Mircea Merca. (2019). On identities of Watson type. Ars Mathematica Contemporanea. 17(1). 277–290. 2 indexed citations

14.

Ballantine, Cristina, et al.. (2018). Combinatorial proofs of two truncated theta series theorems. Journal of Combinatorial Theory Series A. 160. 168–185. 18 indexed citations

15.

Ballantine, Cristina & Mircea Merca. (2017). Finite differences of Euler's zeta function. Miskolc mathematical notes/Mathematical notes. 18(2). 639–639. 1 indexed citations

16.

Ballantine, Cristina & Mircea Merca. (2016). Parity of sums of partition numbers and squares in arithmetic progressions. The Ramanujan Journal. 44(3). 617–630. 7 indexed citations

17.

Ballantine, Cristina & Rosa Orellana. (2005). On the Kronecker Product s (n-p,p) * s λ .. The Electronic Journal of Combinatorics. 12. 6 indexed citations

18.

Ballantine, Cristina & Rosa Orellana. (2005). A combinatorial interpretation for the coefficients in the Kronecker product .. 1 indexed citations

19.

Ballantine, Cristina, et al.. (2002). A Simple Proof of Rolle's Theorem for Finite Fields. American Mathematical Monthly. 109(1). 72–74. 6 indexed citations

20.

Ballantine, Cristina. (2000). Ramanujan Type Buildings. Canadian Journal of Mathematics. 52(6). 1121–1148. 7 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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