Itshak Borosh - Texas A&M University (TAMU) Scholar

HR job title

Retired U7844 - Senior Professor

selected publications

academic article
- Fulling, S. A., Borosh, I., & da Conturbia, A. (1998). Cataloguing general graphs by point and line spectra. Computer Physics Communications. 115(2-3), 93-112.
- Borosh, I., Flahive, M., Rubin, D., & Treybig, B. (1989). A sharp bound for solutions of linear Diophantine equations. Proceedings of the American Mathematical Society. 105(4), 844-844.
- Borosh, I., Flahive, M., & Treybig, B. (1986). Small solutions of linear Diophantine equations. Discrete Mathematics. 58(3), 215-220.
- Borosh, I., & Niederreiter, H. (1983). Optimal multipliers for pseudo-random number generation by the linear congruential method. BIT Numerical Mathematics. 23(1), 65-74.
- Blakley, G. R., & Borosh, I. (1983). Modular arithmetic of iterated powers. Computers & Mathematics with Applications. 9(4), 567-581.
- Blakley, G. R., & Borosh, I. (1979). Knuth's iterated powers. Advances in Mathematics. 34(2), 109-136.
- Blakley, G. R., & Borosh, I. (1979). Rivest-Shamir-Adleman public key cryptosystems do not always conceal messages. Computers & Mathematics with Applications. 5(3), 169-178.
- Borosh, I., Chui, C. K., & Smith, P. W. (1978). On approximation of XN by incomplete polynomials. Journal of Approximation Theory. 24(3), 227-235.
- Borosh, I., & Chui, C. K. (1978). Uniqueness of solutions to a two-dimensional mean problem. Journal of Approximation Theory. 23(3), 201-203.
- Borosh, I., Chui, C. K., & Erds, P. (1978). On chagnes of signs in infinite series. Analysis Mathematica. 4(1), 3-12.
- Blakley, G. R., Borosh, I., & Chui, C. K. (1978). A two-dimensional mean problem. Journal of Approximation Theory. 22(1), 11-26.
- Borosh, I., Chui, C. K., & Smith, P. W. (1977). Best uniform approximation from a collection of subspaces. Mathematische Zeitschrift. 156(1), 13-18.
- Borosh, I. (1976). A sharp bound for positive solutions of homogeneous linear Diophantine equations. Proceedings of the American Mathematical Society. 60(1), 19-19.
- Borosh, I., Hartfiel, D. J., & Maxon, C. J. (1976). Answers to questions posed by Richman and Schneider. Linear and Multilinear Algebra. 3(4), 255-258.
- Borosh, I., & Treybig, L. B. (1976). Bounds on positive integral solutions of linear Diophantine equations. Proceedings of the American Mathematical Society. 55(2), 299-304.
- Borosh, I. (1975). More numerical evidence on the uniqueness of Markov Numbers. BIT Numerical Mathematics. 15(4), 351-357.
- Borosh, I., Moreno, C. J., & Porta, H. (1975). Elliptic curves over finite fields. II. Mathematics of Computation. 29(131), 951-964.
- Borosh, I., & Talpaz, H. (1975). MultiFrequency Cobweb Model: Decomposition of the Hog Cycle: Comment. American Journal of Agricultural Economics. 57(1), 132-133.
- Borosh, I., & Fraenkel, A. S. (1975). A generalization of Jarnks theorem on Diophantine approximations to Ridout type numbers. Transactions of the American Mathematical Society. 211(0), 23-38.
- Talpaz, H., & Borosh, I. (1974). Strategy for Pesticide Use: Frequency and Applications. American Journal of Agricultural Economics. 56(4), 769-775.
- Borosh, I., & Talpaz, H. (1974). On the Timing and Application of Pesticides: Comment. American Journal of Agricultural Economics. 56(3), 642-643.
- Fraenkel, A. S., & Borosh, I. (1973). A generalization of Wythoff's game. Journal of Combinatorial Theory Series A. 15(2), 175-191.
- Borosh, I., & Fraenkel, A. S. (1972). A generalization of jarnik's theorem on diophantine approximations. Indagationes Mathematicae. 34(3), 193-201.
- Borosh, I., & Fraenkel, A. S. (1972). A generalization of jarnik's theorem on diophantine approximations. Indagationes Mathematicae (Proceedings). 75(3), 193-201.
- Borosh, I., & Fraenkel, A. S. (1966). Exact solutions of linear equations with rational coefficients by congruence techniques. Mathematics of Computation. 20(93), 107-112.
- Fraenkel, A. S., & Borosh, I. (1966). Fractional Dimension of a Set of Transcendental Numbers. Proceedings of the London Mathematical Society. s3-16(1), 192-192.
- Fraenkel, A. S., & Borosh, I. (1965). Fractional Dimension of a Set of Transcendental Numbers. Proceedings of the London Mathematical Society. s3-15(1), 458-470.
conference paper
- Blakley, G. R., Borosh, I., & Klappenecker, A. (2000). Construction and Categories of Codes. ADVANCED COMPUTING STRATEGIES FOR ENGINEERING, PT II. 266-277.
- Blakley, G. R., & Borosh, I. (1998). A general theory of codes, II: Paradigms and homomorphisms. ADVANCED COMPUTING STRATEGIES FOR ENGINEERING, PT II. 1-31.

teaching activities

MATH309 Linear Alg For Diff Eq Instructor
MATH311 Top In Applied Math I Instructor
MATH323 Hnr-linear Algebra Instructor

education and training

Ph.D. in Mathematics, Weizmann Institute of Science - (Rehovot, Israel) 1966
M.Sc. in Mathematics, Hebrew University of Jerusalem - (Jerusalem, Israel) 1961

first name

Itshak

has last name

Borosh

mailing address

Texas A&M University

Mathematics

3368 TAMU

College Station, TX 77843-3368

USA

email

borosh@tamu.edu

Borosh, Itshak Professor Emeritus

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