Arthur Gill

1.3k total citations · 1 hit paper
33 papers, 757 citations indexed

About

Arthur Gill is a scholar working on Computational Theory and Mathematics, Artificial Intelligence and Hardware and Architecture. According to data from OpenAlex, Arthur Gill has authored 33 papers receiving a total of 757 indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Computational Theory and Mathematics, 13 papers in Artificial Intelligence and 7 papers in Hardware and Architecture. Recurrent topics in Arthur Gill's work include semigroups and automata theory (7 papers), Embedded Systems Design Techniques (7 papers) and DNA and Biological Computing (5 papers). Arthur Gill is often cited by papers focused on semigroups and automata theory (7 papers), Embedded Systems Design Techniques (7 papers) and DNA and Biological Computing (5 papers). Arthur Gill collaborates with scholars based in United States, Brazil and Mexico. Arthur Gill's co-authors include J. E. Mezei, Robert L. Constable, Lawrence T. Kou, Paulo A. S. Veloso and Edward S. Corwin and has published in prestigious journals such as Communications of the ACM, Mathematics of Computation and Journal of the ACM.

In The Last Decade

Arthur Gill

33 papers receiving 644 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.

Introduction to the Theory of Finite-State Machines

1964 350 citations J. E. Mezei, Arthur Gill Mathematics of Computation profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Arthur Gill United States	11	345	302	165	136	114	33	757
S. Seshu United States	12	266 0.8×	184 0.6×	156 0.9×	356 2.6×	101 0.9×	22	912
Akers United States	6	586 1.7×	289 1.0×	301 1.8×	436 3.2×	145 1.3×	8	1.3k
Robert P. Kurshan United States	15	740 2.1×	290 1.0×	356 2.2×	256 1.9×	115 1.0×	51	984
Michael G. Thomason United States	16	164 0.5×	334 1.1×	288 1.7×	85 0.6×	324 2.8×	53	1.0k
Brigitte Plateau France	12	390 1.1×	76 0.3×	86 0.5×	179 1.3×	273 2.4×	27	712
Andreas Abel Germany	18	448 1.3×	566 1.9×	53 0.3×	67 0.5×	166 1.5×	70	976
Lambert Meertens Netherlands	12	243 0.7×	394 1.3×	58 0.4×	113 0.8×	156 1.4×	48	612
K. A. Bush United States	8	126 0.4×	176 0.6×	62 0.4×	68 0.5×	47 0.4×	22	608
A. J. Bernstein United States	12	163 0.5×	226 0.7×	35 0.2×	246 1.8×	432 3.8×	39	748
Shuzo Yajima Japan	18	816 2.4×	377 1.2×	216 1.3×	493 3.6×	143 1.3×	80	1.3k

Countries citing papers authored by Arthur Gill

Since Specialization

Citations

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

Fields of papers citing papers by Arthur Gill

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Arthur Gill

This figure shows the co-authorship network connecting the top 25 collaborators of Arthur Gill. A scholar is included among the top collaborators of Arthur Gill 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 Arthur Gill. Arthur Gill 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.

Gill, Arthur, et al.. (1990). CNC Technology and programming. McGraw-Hill eBooks. 8 indexed citations

2.

Gill, Arthur, et al.. (1987). Assembly language programming for the 68000. 3 indexed citations

3.

Gill, Arthur. (1978). Machine and assembly language programming of the PDP-11. Medical Entomology and Zoology. 6 indexed citations

4.

Constable, Robert L. & Arthur Gill. (1977). Applied Algebra for the Computer Sciences.. Mathematics of Computation. 31(138). 612–612. 46 indexed citations

5.

Gill, Arthur & Lawrence T. Kou. (1974). Multiple-entry finite automata. Journal of Computer and System Sciences. 9(1). 1–19. 23 indexed citations

6.

Gill, Arthur, et al.. (1974). The identification of a set by successive intersections. Information and Control. 24(1). 20–35. 10 indexed citations

7.

Gill, Arthur, et al.. (1972). Decomposition of linear sequential circuits over residue class rings. Journal of the Franklin Institute. 294(3). 167–180. 5 indexed citations

8.

Gill, Arthur. (1966). Linear sequential circuits : analysis, synthesis, and applications. Defense Technical Information Center (DTIC). 32 indexed citations

9.

Gill, Arthur. (1966). On the Series-to-Parallel Transformation of Linear Sequential Circuits. IEEE Transactions on Electronic Computers. EC-15(1). 107–108. 8 indexed citations

10.

Gill, Arthur. (1966). Linear sequential circuits. 90 indexed citations

11.

Gill, Arthur. (1966). Graphs of affine transformations, with applications to sequential circuits. 127–135. 9 indexed citations

12.

Gill, Arthur, et al.. (1966). On a mapping polynomial for Galois fields. Quarterly of Applied Mathematics. 24(1). 57–62. 2 indexed citations

13.

Gill, Arthur. (1965). On the Bound to the Memory of a Sequential Machine. IEEE Transactions on Electronic Computers. EC-14(3). 464–466. 11 indexed citations

14.

Mezei, J. E. & Arthur Gill. (1964). Introduction to the Theory of Finite-State Machines. Mathematics of Computation. 18(85). 174–174. 350 indexed citations breakdown →

15.

Gill, Arthur. (1963). On a Weight Distribution Problem, with Application to the Design of Stochastic Generators. Journal of the ACM. 10(1). 110–121. 10 indexed citations

16.

Gill, Arthur. (1963). Time-varying sequential machines. Journal of the Franklin Institute. 276(6). 519–539. 11 indexed citations

17.

Gill, Arthur. (1962). A Theorem Concerning Compact and Cyclic Sequences. 1 indexed citations

18.

Gill, Arthur. (1961). Cascaded Finite-State Machines. IEEE Transactions on Electronic Computers. EC-10(3). 366–370. 10 indexed citations

19.

Gill, Arthur. (1960). The Optimal Organization of Serial Memory Transfers. IEEE Transactions on Electronic Computers. EC-9(1). 12–15. 3 indexed citations

20.

Gill, Arthur. (1959). Systematic Scaling for Digital Differential Analyzers. IEEE Transactions on Electronic Computers. EC-8(4). 486–489. 4 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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