David W. Farmer

1.1k total citations
34 papers, 410 citations indexed

About

David W. Farmer is a scholar working on Algebra and Number Theory, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, David W. Farmer has authored 34 papers receiving a total of 410 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Algebra and Number Theory, 18 papers in Mathematical Physics and 12 papers in Geometry and Topology. Recurrent topics in David W. Farmer's work include Analytic Number Theory Research (25 papers), Advanced Algebra and Geometry (14 papers) and Algebraic Geometry and Number Theory (8 papers). David W. Farmer is often cited by papers focused on Analytic Number Theory Research (25 papers), Advanced Algebra and Geometry (14 papers) and Algebraic Geometry and Number Theory (8 papers). David W. Farmer collaborates with scholars based in United States, United Kingdom and Canada. David W. Farmer's co-authors include J. Brian Conrey, Martin R. Zirnbauer, Brian Conrey, S. M. Gonek, C. P. Hughes, William Duke, Robert C. Rhoades, Kevin James, Özlem Imamoğlu and N. C. Snaith and has published in prestigious journals such as Mathematics of Computation, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

David W. Farmer

34 papers receiving 377 citations

Peers

David W. Farmer
Comparison fields: 5 of 44
  • Algebra and Number Theory 321
  • Mathematical Physics 237
  • Geometry and Topology 146
  • Discrete Mathematics and Combinatorics 74
  • Applied Mathematics 54
Florin P. Boca United States
Brian Conrey United States
Nicholas Katz United States
Glenn Stevens United States
Wenzhi Luo United States
Robert C. Rhoades United States
Akio Fujii Japan
Paul Jolissaint Switzerland
Winfried Scharlau Germany
Yasuo Watatani Japan
Florin P. Boca United States View profile →
Citations per field, relative to David W. Farmer
David W. Farmer · 1×
Citations per year, relative to David W. Farmer
David W. Farmer · 1×

Countries citing papers authored by David W. Farmer

Since Specialization
Citations

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

Fields of papers citing papers by David W. Farmer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by David W. Farmer. 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 David W. Farmer. The network helps show where David W. Farmer may publish in the future.

Co-authorship network of co-authors of David W. Farmer

This figure shows the co-authorship network connecting the top 25 collaborators of David W. Farmer. A scholar is included among the top collaborators of David W. Farmer 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 David W. Farmer. David W. Farmer 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 Jensen polynomials are not a plausible route to proving the Riemann Hypothesis Advances in Mathematics David W. Farmer 2
2 The highest lowest zero of general L-functions Journal of Number Theory J. Brian Conrey, David W. Farmer et al. 4
3 Evaluating -functions with few known coefficients LMS Journal of Computation and Mathematics David W. Farmer et al. 1
4 Pair correlation of the zeros of the derivative of the Riemann ξ-function Journal of the London Mathematical Society David W. Farmer, S. M. Gonek et al. 5
5 The Nontrivial Zeros of Period Polynomials of Modular Forms Lie on the Unit Circle Repository for Publications and Research Data (ETH Zurich) Özlem Imamoğlu, J. Brian Conrey et al. 15
6 Survey Article: Characterizations of the Saito-Kurokawa lifting Rocky Mountain Journal of Mathematics David W. Farmer, Ameya Pitale et al. 5
7 MEAN VALUES OF  '/ (s), CORRELATIONS OF ZEROS AND THE DISTRIBUTION OF ALMOST PRIMES The Quarterly Journal of Mathematics David W. Farmer, S. M. Gonek et al. 9
8 Landau–Siegel zeros and zeros of the derivative of the Riemann zeta function Advances in Mathematics David W. Farmer et al. 4
9 Testing the functional equation of a high-degree Euler product Pacific Journal of Mathematics David W. Farmer, Ralf Schmidt et al. 2
10 Autocorrelation of ratios of $L$-functions Bristol Research (University of Bristol) Brian Conrey, David W. Farmer et al. 58
11 Lower order terms in the full moment conjecture for the Riemann zeta function Journal of Number Theory J. Brian Conrey, David W. Farmer et al. 17
12 A converse theorem for Γ0(13) Journal of Number Theory J. Brian Conrey, David W. Farmer et al. 3
13 Differentiation evens out zero spacings Transactions of the American Mathematical Society David W. Farmer, Robert C. Rhoades 18
14 Transition Mean Values of Real Characters Journal of Number Theory J. Brian Conrey, David W. Farmer et al. 6
15 The distribution of the eigenvalues of Hecke operators Acta Arithmetica J. Brian Conrey, William Duke et al. 34
16 Knots and Surfaces David W. Farmer, Theodore Stanford 1
17 Groups and Symmetry: A Guide to Discovering Mathematics David W. Farmer 6
18 Groups and symmetry CERN Document Server (European Organization for Nuclear Research) David W. Farmer 3
19 Mean Value of Dirichlet Series Associated with Holomorphic Cusp Forms Journal of Number Theory David W. Farmer 7
20 Counting distinct zeros of the Riemann zeta-function The Electronic Journal of Combinatorics David W. Farmer 14

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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