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
Comparison fields: 5 of 42
  • Algebra and Number Theory 95
  • Discrete Mathematics and Combinatorics 94
  • Geometry and Topology 43
  • Mathematical Physics 36
  • Computational Theory and Mathematics 23
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 View profile →
Citations per field, relative to Cristina Ballantine
Cristina Ballantine · 1×
Citations per year, relative to Cristina Ballantine
Cristina Ballantine · 1×

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

20 of 20 papers shown
# Title Journal Authors Indexed citations
1 Partitions and elementary symmetric polynomials: an experimental approach The Ramanujan Journal Cristina Ballantine, George R. Beck et al. 0
2 Combinatorial proofs of inequalities involving the number of partitions with parts separated by parity The Ramanujan Journal Cristina Ballantine et al. 0
3 Generalizations of POD and PED partitions Discrete Mathematics Cristina Ballantine et al. 1
4 Truncated theta series related to the Jacobi Triple Product identity Discrete Mathematics Cristina Ballantine et al. 3
5 Elementary Symmetric Partitions Annals of Combinatorics Cristina Ballantine, George R. Beck et al. 2
6 Hook length and symplectic content in partitions Journal of Combinatorial Theory Series A Tewodros Amdeberhan, George E. Andrews et al. 0
7 Congruences modulo 4 for the number of 3 -regular partitions Comptes Rendus Mathématique Cristina Ballantine, Mircea Merca 0
8 Beck-type companion identities for Franklin's identity Contributions to Discrete Mathematics Cristina Ballantine et al. 1
9 PED and POD partitions: Combinatorial proofs of recurrence relations Discrete Mathematics Cristina Ballantine et al. 2
10 Almost partition identities Proceedings of the National Academy of Sciences George E. Andrews, Cristina Ballantine 5
11 A family of lacunary recurrences for Fibonacci numbers Miskolc mathematical notes/Mathematical notes Cristina Ballantine, Mircea Merca 1
12 Combinatorial proofs of two theorems related to the number of even parts in all partitions of n into distinct parts The Ramanujan Journal Cristina Ballantine, Mircea Merca 2
13 On identities of Watson type Ars Mathematica Contemporanea Cristina Ballantine, Mircea Merca 2
14 Combinatorial proofs of two truncated theta series theorems Journal of Combinatorial Theory Series A Cristina Ballantine, Mircea Merca et al. 18
15 Finite differences of Euler's zeta function Miskolc mathematical notes/Mathematical notes Cristina Ballantine, Mircea Merca 1
16 Parity of sums of partition numbers and squares in arithmetic progressions The Ramanujan Journal Cristina Ballantine, Mircea Merca 7
17 On the Kronecker Product s (n-p,p) * s λ . The Electronic Journal of Combinatorics Cristina Ballantine, Rosa Orellana 6
18 A combinatorial interpretation for the coefficients in the Kronecker product . Cristina Ballantine, Rosa Orellana 1
19 A Simple Proof of Rolle's Theorem for Finite Fields American Mathematical Monthly Cristina Ballantine et al. 6
20 Ramanujan Type Buildings Canadian Journal of Mathematics Cristina Ballantine 7

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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