I. Borosh

679 total citations
27 papers, 403 citations indexed

About

I. Borosh is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, I. Borosh has authored 27 papers receiving a total of 403 indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Geometry and Topology, 10 papers in Algebra and Number Theory and 7 papers in Mathematical Physics. Recurrent topics in I. Borosh's work include Algebraic Geometry and Number Theory (6 papers), Commutative Algebra and Its Applications (5 papers) and Analytic Number Theory Research (4 papers). I. Borosh is often cited by papers focused on Algebraic Geometry and Number Theory (6 papers), Commutative Algebra and Its Applications (5 papers) and Analytic Number Theory Research (4 papers). I. Borosh collaborates with scholars based in United States, Israel and Austria. I. Borosh's co-authors include L. B. Treybig, Aviezri S. Fraenkel, Hovav Talpaz, G. R. Blakley, Harald Niederreiter, Mary Flahive, Charles K. Chui, David S. Rubin, Philip W. Smith and Horaçio Porta and has published in prestigious journals such as Mathematics of Computation, Computer Physics Communications and American Journal of Agricultural Economics.

In The Last Decade

I. Borosh

24 papers receiving 334 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
I. Borosh United States	11	198	119	68	60	42	27	403
B. David Saunders United States	13	320 1.6×	134 1.1×	42 0.6×	60 1.0×	19 0.5×	42	418
Rüdiger Loos Germany	9	334 1.7×	185 1.6×	49 0.7×	69 1.1×	17 0.4×	21	492
D. Yu. Grigor'ev Russia	6	298 1.5×	103 0.9×	69 1.0×	64 1.1×	23 0.5×	15	383
J. W. Wrench Malaysia	6	101 0.5×	122 1.0×	23 0.3×	20 0.3×	41 1.0×	7	369
M. F. Janowitz United States	14	332 1.7×	150 1.3×	98 1.4×	63 1.1×	21 0.5×	73	610
Dima Grigoriev France	12	377 1.9×	228 1.9×	53 0.8×	69 1.1×	31 0.7×	71	564
Wojciech A. Trybulec	13	322 1.6×	89 0.7×	114 1.7×	188 3.1×	31 0.7×	18	605
Y. N. Lakshman United States	11	296 1.5×	97 0.8×	26 0.4×	20 0.3×	27 0.6×	17	392
Hans Riesel Sweden	9	105 0.5×	146 1.2×	205 3.0×	131 2.2×	54 1.3×	40	447
Nicolai Vorobjov United Kingdom	10	327 1.7×	90 0.8×	96 1.4×	118 2.0×	26 0.6×	27	434

Countries citing papers authored by I. Borosh

Since Specialization

Citations

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

Fields of papers citing papers by I. Borosh

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of I. Borosh

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

Fulling, S. A., et al.. (1998). Cataloguing general graphs by point and line spectra. Computer Physics Communications. 115(2-3). 93–112. 3 indexed citations

Borosh, I. & L. B. Treybig. (1992). A Sharp Bound on Positive Solutions of Linear Diophantine Equations. SIAM Journal on Matrix Analysis and Applications. 13(2). 454–458. 3 indexed citations

Borosh, I., et al.. (1989). A sharp bound for solutions of linear Diophantine equations. Proceedings of the American Mathematical Society. 105(4). 844–844. 17 indexed citations

Borosh, I., et al.. (1986). Small solutions of linear Diophantine equations. Discrete Mathematics. 58(3). 215–220. 17 indexed citations

Blakley, G. R. & I. Borosh. (1983). Modular arithmetic of iterated powers. Computers & Mathematics with Applications. 9(4). 567–581. 1 indexed citations

Blakley, G. R. & I. Borosh. (1979). Knuth's iterated powers. Advances in Mathematics. 34(2). 109–136. 4 indexed citations

Blakley, G. R. & I. Borosh. (1979). Rivest-Shamir-Adleman public key cryptosystems do not always conceal messages. Computers & Mathematics with Applications. 5(3). 169–178. 36 indexed citations

Borosh, I. & L. B. Treybig. (1979). Bounds on Positive Integral Solutions of Linear Diophantine Equations II. Canadian Mathematical Bulletin. 22(3). 357–361. 6 indexed citations

Borosh, I., Charles K. Chui, & Philip W. Smith. (1978). On approximation of X by incomplete polynomials. Journal of Approximation Theory. 24(3). 227–235. 5 indexed citations

10.

Borosh, I.. (1976). A sharp bound for positive solutions of homogeneous linear Diophantine equations. Proceedings of the American Mathematical Society. 60(1). 19–19. 11 indexed citations

11.

Borosh, I., et al.. (1976). Answers to questions posed by Richman and Schneider. Linear and Multilinear Algebra. 3(4). 255–258. 6 indexed citations

12.

Borosh, I. & L. B. Treybig. (1976). Bounds on positive integral solutions of linear Diophantine equations. Proceedings of the American Mathematical Society. 55(2). 299–304. 106 indexed citations

13.

Borosh, I.. (1975). More numerical evidence on the uniqueness of Markov Numbers. BIT Numerical Mathematics. 15(4). 351–357. 1 indexed citations

14.

Borosh, I. & Hovav Talpaz. (1975). Multi‐Frequency Cobweb Model: Decomposition of the Hog Cycle: Comment. American Journal of Agricultural Economics. 57(1). 132–133. 1 indexed citations

15.

Borosh, I., Carlos Moreno, & Horaçio Porta. (1975). Elliptic curves over finite fields. II. Mathematics of Computation. 29(131). 951–964. 8 indexed citations

16.

Fraenkel, Aviezri S. & I. Borosh. (1973). A generalization of Wythoff's game. Journal of Combinatorial Theory Series A. 15(2). 175–191. 19 indexed citations

17.

Borosh, I. & Aviezri S. Fraenkel. (1972). A generalization of jarnik's theorem on diophantine approximations. Indagationes Mathematicae (Proceedings). 75(3). 193–201. 11 indexed citations

18.

Fraenkel, Aviezri S. & I. Borosh. (1966). Fractional Dimension of a Set of Transcendental Numbers. Proceedings of the London Mathematical Society. s3-16(1). 192–192. 1 indexed citations

19.

Borosh, I. & Aviezri S. Fraenkel. (1966). Exact solutions of linear equations with rational coefficients by congruence techniques. Mathematics of Computation. 20(93). 107–112. 40 indexed citations

20.

Fraenkel, Aviezri S. & I. Borosh. (1965). Fractional Dimension of a Set of Transcendental Numbers. Proceedings of the London Mathematical Society. s3-15(1). 458–470.

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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