Joseph Arkin

Joseph Arkin
Born	May 25, 1923
Died	August 5, 2002 (aged 79)
Citizenship	United States
Fields	Mathematics
Institutions	United States Military Academy
Known for	Number theory

Joseph Arkin (May 25, 1923 – August 5, 2002) was a mathematician, lecturer and professor at the West Point military academy.^[1][2]

Originally from Brooklyn, New York, Professor Arkin worked at the Department of Mathematical Sciences at the United States Military Academy since 1986, until he retired from the faculty on September 23, 1994.^[1]

He was also a member of the American Mathematical Society since 1964,^[2] and member of the Fibonacci Association since 1965.^[1]

Most of his contributions and collaborative academic research was in the branch of number theory.^[1][3] He authored and co-authored publications, alongside notable mathematicians like Paul Erdős, Ronald Graham, E.G. Straus, Richard Pollack, Vern Hoggatt, Paul Smith, V.E. Smith, Gerald Bergum, and Stefan Burr, among others.^[4][4][5][6]

Many of his studies have appeared in several publications such as the Mathematics Magazine, Fibonacci Quarterly, SIAM Review, Duke Mathematical Journal, Journal of Recreational Mathematics, and in Notices of the American Mathematical Society.^[1]

Arkin also published papers in the Canadian Journal of Mathematics, the Pacific Journal of Mathematics, and the Mathematics and Computer Education Journal.^[1]

Academic research

• Arkin, Joseph; Hoggatt, V. E.; Straus, E. G. (1979). "On Euler's Solution to a Problem of Diophantus" (PDF). The Fibonacci Quarterly 17: 333–339.

• Arkin, Joseph (1966). "A note on a theorem of Jacobi" (PDF). Fibonacci Quarterly 4: 359–62.

• Arkin, Joseph (1969). "Convergence of the Coefficients in a Recurring Power Series" (PDF). Fibonacci Quarterly 7: 41–55.

• Arkin, Joseph; Pollack, Richard (1970). "Recurrence Formulas" (PDF). Fibonacci Quarterly 8: 4–5.

• Arkin, Joseph (1970). "An Extension of Fibonacci Numbers" (PDF). Fibonacci Quarterly 8: 199–216.

• Arkin, Joseph (1970). "An extension of a theorem of Euler" (PDF). Fibonacci Quarterly 8: 421–27.

• Arkin, Joseph (1970). "Certain Arithmetical Properties of )" (PDF). Fibonacci Quarterly 8 (5): 531–37.

• Arkin, Joseph (1973). "Convergence of the Coefficients in the kth Power of a Power Series" (PDF). Fibonacci Quarterly 11 (1): 15–24.

• Arkin, Joseph (1973). "The First Solution of the Classical Eulerian Magic Cube Problem of Order Ten" (PDF). Fibonacci Quarterly 11 (2): 174–78.

• Arkin, Joseph (1973). "A solution to the classical problem of finding systems of three mutually orthogonal issues in a cube formed by three superimposed 10 x 10 x 10 cubes" (PDF). Fibonacci Quarterly 11 (5): 480–84.

• Arkin, Joseph (1974). "A solution of orthogonal triples in four superimposed 10 x 10 x 10 Latin cubes" (PDF). Fibonacci Quarterly 12 (2): 133–40.

• Arkin, Joseph; Strauss, E. G. (1974). "Latin k-Cubes" (PDF). Fibonacci Quarterly 12 (3): 288–91.

• Arkin, Joseph; Hoggatt, Jr., V. E. (1975). "The Generalized Fibonacci Issue and Its Relation to Wilson's Theorem" (PDF). Fibonacci Quarterly 13 (2): 107–09.

• Arkin, Joseph; Smith, Paul (1976). "Trebly-magic systems in a Latin 3-cube of order eight" (PDF). Fibonacci Quarterly 14 (2): 167–70.

• Arkin, Joseph; Singh, K. (1981). "A new type magic latin 3-cube of order ten" (PDF). Fibonacci Quarterly 19 (1): 76–82.

• Arkin, Joseph; Straus, E. G. (1981). "Orthogonal Latin Systems" (PDF). Fibonacci Quarterly 19 (4): 289–92.

• Arkin, Joseph; Arney, D.C.; Bergum, G .E.; Burr, Stephan A.; Porter, B. J. (1989). "Unique Fibonacci Formulas" (PDF). Fibonacci Quarterly 27 (4): 296–302.

• Arkin, Joseph; Arney, D.C.; Bergum, G.E.; Vurr, S.A.; Porter, B. J (1989). "Recurring-Sequence Tiling" (PDF). Fibonacci Quarterly 27 (4): 323–332.

• Arkin, Joseph; Arney, D.C.; Bergum, G .E.; Burr, Stephan A.; Porter, B. J. (1990). "Tiling the kth power of a power series" (PDF). Quarterly 28 (3): 266–272.

• Arkin, Joseph (1965). "An Extension of the Fibonacci Numbers". American Mathematical Monthly 72 (3): 275–79. doi:10.2307/2313696.

• Arkin, Joseph (1965). "Ladder Network Analysis using Polynomials" (PDF). Fibonacci Quarterly 3 (2): 139–42.

References

1. David C. Arney (1994). "Biography of Joseph Arkin An American Ramanujan". Retrieved October 2012.
2. "Inside the AMS" (PDF). Notices of the American Mathematical Society 49 (10): 1276. 2002.
3. "Publications of Joseph Arkin". U.S. Military Academy. 2002.
4. Arkin, Joseph; Arney, D.C.; Bergum, G .E.; Burr, Stephan A.; Porter, B. J. (1989). "Unique Fibonacci Formulas" (PDF). Fibonacci Quarterly 27 (4): 296–302.
5. Arkin, Joseph; Hoggatt, V. E.; Straus, E. G. (1979). "On Euler's Solution to a Problem of Diophantus" (PDF). The Fibonacci Quarterly 17: 333–339.
6. Arkin, Joseph; Smith, Paul (1976). "Trebly-magic systems in a Latin 3-cube of order eight" (PDF). Fibonacci Quarterly 14 (2): 167–70.