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 — A (Enhanced Table)

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

Name	h						Papers	Cites
David W. Farmer United States	13	321	237	146	74	54	34	410
Florin P. Boca United States	12	243 0.8×	257 1.1×	118 0.8×	59 0.8×	58 1.1×	38	382
Brian Conrey United States	10	248 0.8×	120 0.5×	113 0.8×	74 1.0×	53 1.0×	21	293
Nicholas Katz United States	2	171 0.5×	153 0.6×	91 0.6×	54 0.7×	31 0.6×	3	250
Glenn Stevens United States	13	252 0.8×	506 2.1×	539 3.7×	93 1.3×	35 0.6×	23	628
Wenzhi Luo United States	13	554 1.7×	528 2.2×	258 1.8×	118 1.6×	47 0.9×	38	673
Robert C. Rhoades United States	12	380 1.2×	221 0.9×	109 0.7×	189 2.6×	53 1.0×	33	447
Akio Fujii Japan	11	289 0.9×	143 0.6×	102 0.7×	51 0.7×	106 2.0×	64	334
Paul Jolissaint Switzerland	12	283 0.9×	502 2.1×	271 1.9×	29 0.4×	79 1.5×	30	535
Winfried Scharlau Germany	12	134 0.4×	174 0.7×	251 1.7×	60 0.8×	32 0.6×	43	381
Yasuo Watatani Japan	14	452 1.4×	568 2.4×	228 1.6×	32 0.4×	109 2.0×	73	631

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

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20 of 20 papers shown

Farmer, David W.. (2022). Jensen polynomials are not a plausible route to proving the Riemann Hypothesis. Advances in Mathematics. 411. 108781–108781. 2 indexed citations

Conrey, J. Brian, David W. Farmer, Akio Fujii, et al.. (2014). The highest lowest zero of general L-functions. Journal of Number Theory. 147. 364–373. 4 indexed citations

Farmer, David W., et al.. (2014). Evaluating -functions with few known coefficients. LMS Journal of Computation and Mathematics. 17(1). 245–258. 1 indexed citations

Farmer, David W., et al.. (2014). Pair correlation of the zeros of the derivative of the Riemann ξ-function. Journal of the London Mathematical Society. 90(1). 241–269. 5 indexed citations

Imamoğlu, Özlem, J. Brian Conrey, & David W. Farmer. (2013). The Nontrivial Zeros of Period Polynomials of Modular Forms Lie on the Unit Circle. Repository for Publications and Research Data (ETH Zurich). 15 indexed citations

Farmer, David W., et al.. (2013). Survey Article: Characterizations of the Saito-Kurokawa lifting. Rocky Mountain Journal of Mathematics. 43(6). 5 indexed citations

Farmer, David W., et al.. (2013). MEAN VALUES OF '/ (s), CORRELATIONS OF ZEROS AND THE DISTRIBUTION OF ALMOST PRIMES. The Quarterly Journal of Mathematics. 64(4). 1057–1089. 9 indexed citations

Farmer, David W., et al.. (2012). Landau–Siegel zeros and zeros of the derivative of the Riemann zeta function. Advances in Mathematics. 230(4-6). 2048–2064. 4 indexed citations

Farmer, David W., et al.. (2011). Testing the functional equation of a high-degree Euler product. Pacific Journal of Mathematics. 253(2). 349–366. 2 indexed citations

10.

Conrey, Brian, David W. Farmer, & Martin R. Zirnbauer. (2008). Autocorrelation of ratios of $L$-functions. Bristol Research (University of Bristol). 2(3). 593–636. 58 indexed citations

11.

Conrey, J. Brian, David W. Farmer, Jonathan P. Keating, Michael Rubinstein, & N. C. Snaith. (2007). Lower order terms in the full moment conjecture for the Riemann zeta function. Journal of Number Theory. 128(6). 1516–1554. 17 indexed citations

12.

Conrey, J. Brian, et al.. (2006). A converse theorem for Γ0(13). Journal of Number Theory. 122(2). 314–323. 3 indexed citations

13.

Farmer, David W. & Robert C. Rhoades. (2005). Differentiation evens out zero spacings. Transactions of the American Mathematical Society. 357(9). 3789–3811. 18 indexed citations

14.

Conrey, J. Brian, David W. Farmer, & K. Soundararajan. (2000). Transition Mean Values of Real Characters. Journal of Number Theory. 82(1). 109–120. 6 indexed citations

15.

Conrey, J. Brian, William Duke, & David W. Farmer. (1997). The distribution of the eigenvalues of Hecke operators. Acta Arithmetica. 78(4). 405–409. 34 indexed citations

16.

Farmer, David W. & Theodore Stanford. (1995). Knots and Surfaces. 1 indexed citations

17.

Farmer, David W.. (1995). Groups and Symmetry: A Guide to Discovering Mathematics. 6 indexed citations

18.

Farmer, David W.. (1995). Groups and symmetry. CERN Document Server (European Organization for Nuclear Research). 3 indexed citations

19.

Farmer, David W.. (1994). Mean Value of Dirichlet Series Associated with Holomorphic Cusp Forms. Journal of Number Theory. 49(2). 209–245. 7 indexed citations

20.

Farmer, David W.. (1994). Counting distinct zeros of the Riemann zeta-function. The Electronic Journal of Combinatorics. 2(1). 14 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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