Paul Pollack

751 total citations
93 papers, 286 citations indexed

About

Paul Pollack is a scholar working on Algebra and Number Theory, Geometry and Topology and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Paul Pollack has authored 93 papers receiving a total of 286 indexed citations (citations by other indexed papers that have themselves been cited), including 76 papers in Algebra and Number Theory, 46 papers in Geometry and Topology and 25 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Paul Pollack's work include Analytic Number Theory Research (73 papers), Advanced Mathematical Identities (34 papers) and Algebraic Geometry and Number Theory (30 papers). Paul Pollack is often cited by papers focused on Analytic Number Theory Research (73 papers), Advanced Mathematical Identities (34 papers) and Algebraic Geometry and Number Theory (30 papers). Paul Pollack collaborates with scholars based in United States, Canada and United Kingdom. Paul Pollack's co-authors include Carl Pomerance, Pete L. Clark, Florian Luca, Vladimir Shevelev, Kevin Ford, Kevin James, Mitsuo KOBAYASHI, Greg Martin, B. F. Caviness and Roger C. Baker and has published in prestigious journals such as SHILAP Revista de lepidopterología, Mathematics of Computation and Inventiones mathematicae.

In The Last Decade

Paul Pollack

81 papers receiving 252 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Paul Pollack United States 9 239 154 75 61 47 93 286
Greg Martin Canada 10 177 0.7× 111 0.7× 82 1.1× 57 0.9× 67 1.4× 42 259
Francesco Pappalardi Italy 9 160 0.7× 114 0.7× 93 1.2× 69 1.1× 38 0.8× 42 244
Kurt Girstmair Austria 9 132 0.6× 140 0.9× 45 0.6× 38 0.6× 69 1.5× 58 221
Zhi-Hong Sun China 12 493 2.1× 135 0.9× 209 2.8× 40 0.7× 89 1.9× 61 529
Moubariz Z. Garaev Mexico 11 191 0.8× 78 0.5× 140 1.9× 88 1.4× 35 0.7× 26 252
Blair K. Spearman Canada 8 126 0.5× 196 1.3× 38 0.5× 50 0.8× 61 1.3× 74 249
Frank Gerth United States 9 139 0.6× 220 1.4× 75 1.0× 72 1.2× 121 2.6× 48 285
Olivier Ramaré France 11 346 1.4× 171 1.1× 161 2.1× 65 1.1× 84 1.8× 55 404
Grigori Kolesnik United States 9 378 1.6× 163 1.1× 158 2.1× 50 0.8× 141 3.0× 21 468
Georges Rhin France 11 172 0.7× 86 0.6× 46 0.6× 47 0.8× 72 1.5× 33 283

Countries citing papers authored by Paul Pollack

Since Specialization
Citations

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

Fields of papers citing papers by Paul Pollack

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Paul Pollack

This figure shows the co-authorship network connecting the top 25 collaborators of Paul Pollack. A scholar is included among the top collaborators of Paul Pollack 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 Paul Pollack. Paul Pollack 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.
Pollack, Paul, et al.. (2023). Intermediate prime factors in specified subsets. Monatshefte für Mathematik. 202(4). 837–855. 1 indexed citations
2.
Pollack, Paul, et al.. (2023). Distribution in coprime residue classes of polynomially-defined multiplicative functions. Mathematische Zeitschrift. 303(4). 1 indexed citations
3.
Pollack, Paul, et al.. (2023). Distribution mod p of Euler’s Totient and the Sum of Proper Divisors. The Michigan Mathematical Journal. 74(1). 2 indexed citations
4.
Clark, Pete L. & Paul Pollack. (2020). Reciprocity by resultant in $k[t]$. 65(1). 101–116.
5.
Clark, Pete L., et al.. (2018). A note on Golomb topologies. Quaestiones Mathematicae. 42(1). 73–86. 11 indexed citations
6.
Pollack, Paul. (2018). A remark on the number field analogue of Waring's constant. Mathematische Nachrichten. 291(11-12). 1893–1898. 1 indexed citations
7.
Pollack, Paul, et al.. (2017). Clustering of linear combinations of multiplicative functions. Journal of Number Theory. 180. 660–672.
8.
Pollack, Paul, et al.. (2017). Counting perfect polynomials. Finite Fields and Their Applications. 47. 242–255. 1 indexed citations
9.
Pollack, Paul. (2017). The least prime quadratic nonresidue in a prescribed residue class mod 4. Journal of Number Theory. 187. 403–414. 1 indexed citations
10.
Pollack, Paul & Carl Pomerance. (2016). Some problems of Erdős on the sum-of-divisors function. 3(1). 1–26. 6 indexed citations
11.
Pollack, Paul, et al.. (2015). Bounded gaps between primes in number fields and function fields. Proceedings of the American Mathematical Society. 143(7). 2841–2856. 10 indexed citations
12.
Pollack, Paul. (2014). The smallest prime that splits completely in an abelian number field. Proceedings of the American Mathematical Society. 142(6). 1925–1934. 4 indexed citations
13.
Pollack, Paul. (2013). Irreducible polynomials with several prescribed coefficients. Finite Fields and Their Applications. 22. 70–78. 16 indexed citations
14.
Pollack, Paul. (2012). Finiteness Theorems for Perfect Numbers and Their Kin. American Mathematical Monthly. 119(8). 670–681. 7 indexed citations
15.
Pollack, Paul & Carl Pomerance. (2012). Prime-Perfect Numbers. 12(6). 3 indexed citations
16.
Pollack, Paul. (2011). On Polynomial Rings with a Goldbach Property. American Mathematical Monthly. 118(1). 71–77. 1 indexed citations
17.
Pollack, Paul. (2010). Revisiting Gauss's analogue of the prime number theorem for polynomials over a finite field. Finite Fields and Their Applications. 16(4). 290–299. 5 indexed citations
18.
KOBAYASHI, Mitsuo, Paul Pollack, & Carl Pomerance. (2009). On the distribution of sociable numbers. Journal of Number Theory. 129(8). 1990–2009. 8 indexed citations
19.
Pollack, Paul. (2008). A polynomial analogue of the twin prime conjecture. Proceedings of the American Mathematical Society. 136(11). 3775–3784. 5 indexed citations
20.
Pollack, Paul, et al.. (2007). On a conjecture of Beard, O'Connell and West concerning perfect polynomials. Finite Fields and Their Applications. 14(1). 242–249. 5 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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