S. W. Graham

1.1k total citations · 1 hit paper
23 papers, 501 citations indexed

About

S. W. Graham is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, S. W. Graham has authored 23 papers receiving a total of 501 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Algebra and Number Theory, 7 papers in Geometry and Topology and 4 papers in Mathematical Physics. Recurrent topics in S. W. Graham's work include Analytic Number Theory Research (14 papers), Advanced Mathematical Identities (7 papers) and History and Theory of Mathematics (4 papers). S. W. Graham is often cited by papers focused on Analytic Number Theory Research (14 papers), Advanced Mathematical Identities (7 papers) and History and Theory of Mathematics (4 papers). S. W. Graham collaborates with scholars based in United States, Hungary and Türkiye. S. W. Graham's co-authors include Grigori Kolesnik, Jeffrey D. Vaaler, J. Pintz, C. Y. Yıldırım, D. A. Goldston, Donald L. Kreher, Frank Gerth, Igor E. Shparlinski, S. M. Gonek and Michael Filaseta and has published in prestigious journals such as IEEE Transactions on Computers, SIAM Review and Transactions of the American Mathematical Society.

In The Last Decade

S. W. Graham

22 papers receiving 428 citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Van der Corput's Method of Exponential Sums

1991 275 citations S. W. Graham, Grigori Kolesnik Cambridge University Press eBooks profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
S. W. Graham United States	10	385	161	154	113	93	23	501
Todd Cochrane United States	13	386 1.0×	160 1.0×	163 1.1×	124 1.1×	36 0.4×	59	490
Antal Balog Hungary	13	298 0.8×	158 1.0×	284 1.8×	85 0.8×	45 0.5×	54	464
Pieter Moree Germany	11	362 0.9×	250 1.6×	118 0.8×	108 1.0×	44 0.5×	87	500
Harold G. Diamond United States	15	429 1.1×	241 1.5×	122 0.8×	229 2.0×	119 1.3×	63	695
Α. I. Kostrikin Russia	9	266 0.7×	285 1.8×	157 1.0×	165 1.5×	24 0.3×	24	488
Glyn Harman United Kingdom	13	508 1.3×	309 1.9×	183 1.2×	237 2.1×	46 0.5×	67	602
Gregory A. Freiman Israel	12	103 0.3×	143 0.9×	266 1.7×	75 0.7×	37 0.4×	51	448
M. Ram Murty Canada	12	292 0.8×	334 2.1×	104 0.7×	131 1.2×	40 0.4×	41	483
Javier Cilleruelo Spain	11	199 0.5×	180 1.1×	228 1.5×	89 0.8×	33 0.4×	74	422
Mei-Chu Chang United States	15	245 0.6×	360 2.2×	315 2.0×	174 1.5×	54 0.6×	75	621

Countries citing papers authored by S. W. Graham

Since Specialization

Citations

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

Fields of papers citing papers by S. W. Graham

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of S. W. Graham

This figure shows the co-authorship network connecting the top 25 collaborators of S. W. Graham. A scholar is included among the top collaborators of S. W. Graham 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 S. W. Graham. S. W. Graham is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Gonek, S. M., et al.. (2020). The Lindelöf hypothesis for primes is equivalent to the Riemann hypothesis. Proceedings of the American Mathematical Society. 148(7). 2863–2875. 4 indexed citations

2.

Goldston, D. A., et al.. (2020). Small gaps between almost primes, the parity problem, and some conjectures of Erdős on consecutive integers II. Journal of Number Theory. 221. 222–231. 1 indexed citations

3.

Filaseta, Michael, et al.. (2015). Starting with gaps between k-free numbers. International Journal of Number Theory. 11(5). 1411–1435. 1 indexed citations

4.

Goldston, D. A., S. W. Graham, J. Pintz, & C. Y. Yıldırım. (2009). Small gaps between primes or almost primes. Transactions of the American Mathematical Society. 361(10). 5285–5285. 12 indexed citations

5.

Graham, S. W. & Igor E. Shparlinski. (2008). On RSA moduli with almost half of the bits prescribed. Discrete Applied Mathematics. 156(16). 3150–3154. 5 indexed citations

6.

Goldston, D. A., S. W. Graham, J. Pintz, & C. Y. Yıldırım. (2008). Small gaps between products of two primes. Proceedings of the London Mathematical Society. 98(3). 741–774. 19 indexed citations

7.

Graham, S. W., et al.. (2004). Explicit Estimates for the Riemann Zeta Function. Rocky Mountain Journal of Mathematics. 34(4). 17 indexed citations

8.

Graham, S. W., et al.. (1995). Large sets of 3‐designs from psl(2, q), with block sizes 4 and 5. Journal of Combinatorial Designs. 3(2). 147–160. 11 indexed citations

9.

Graham, S. W.. (1993). Moments of Gaps Between k-Free Numbers. Journal of Number Theory. 44(1). 105–117.

10.

Filaseta, Michael & S. W. Graham. (1993). An estimate for the number of reducible Bessel polynomials of bounded degree. Colloquium Mathematicum. 65(1). 65–68. 2 indexed citations

11.

Graham, S. W. & Grigori Kolesnik. (1991). Van der Corput's Method of Exponential Sums. Cambridge University Press eBooks. 275 indexed citations breakdown →

12.

Graham, S. W.. (1989). Unitary Perfect Numbers with Squarefree Odd Part. The Fibonacci quarterly. 27(4). 317–322. 2 indexed citations

13.

Graham, S. W. & J. Pintz. (1989). The distribution ofr-free numbers. Acta Mathematica Academiae Scientiarum Hungaricae. 53(1-2). 213–236. 8 indexed citations

14.

Graham, S. W. & Grigori Kolesnik. (1988). On the difference between consecutive squarefree integers. Acta Arithmetica. 49(5). 435–447. 8 indexed citations

15.

Graham, S. W., et al.. (1987). Conjectured Trigonometrical Identities (M. Henkel and J. Lacki). SIAM Review. 29(1). 132–135. 4 indexed citations

16.

Graham, S. W.. (1986). An Algorithm for Computing Optimal Exponent Pairs. Journal of the London Mathematical Society. s2-33(2). 203–218. 13 indexed citations

17.

Gerth, Frank & S. W. Graham. (1984). Application of a character sum estimate to a 2-class number density. Journal of Number Theory. 19(2). 239–247. 6 indexed citations

18.

Graham, S. W. & Jeffrey D. Vaaler. (1981). A class of extremal functions for the Fourier transform. Transactions of the American Mathematical Society. 265(1). 283–283. 33 indexed citations

19.

Graham, S. W.. (1981). On Linnik's constant. Acta Arithmetica. 39(2). 163–179. 18 indexed citations

20.

Graham, S. W.. (1981). The Greatest Prime Factor of the Integers in an Interval. Journal of the London Mathematical Society. s2-24(3). 427–440. 8 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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