Edray H Goins

Last updated on November 22, 2016.

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Refereed Publications

  1. With Mel Currie, On the Distribution of Fractional Parts.
    Internal publication of the National Security Agency. (1997).
  2. With Mel Currie, The Fractional Parts of n/k.
    Council for African-American Researchers in the Mathematical Sciences, Vol. III; Contemp. Math. 275 (2001), pgs. 13 - 31.
    [PDF]
  3. Artin's Conjecture and Elliptic Curves.
    Council for African-American Researchers in the Mathematical Sciences, Vol. III; Contemp. Math. 275 (2001), pgs. 39 - 51.
    [arXiv] | [PDF]
  4. A Ternary Algebra with Applications to Binary Quadratic Forms.
    Council for African-American Researchers in the Mathematical Sciences, Vol. IV; Contemp. Math. 284 (2001), pgs. 7 - 12.
    [arXiv] | [PDF]
  5. Icosahedral Q-curve Extensions.
    Mathematical Research Letters, 10 (2003), no. 2-3, pgs. 205-217.
    [Journal] | [PDF]
  6. With Davin Maddox, Heron Triangles via Elliptic Curves.
    Rocky Mountain Journal of Mathematics, Vol. 36; (2005), no. 5, pgs. 1511 - 1526.
    [Journal] | [PDF]
  7. With Alain Togbe, On Pythagorean Quadruplets.
    International Journal of Pure and Applied Mathematics, Vol. 35 (2007), no. 3, pgs. 363 - 372.
    [Journal] | [PDF]
  8. With Florian Luca and Alain Togbe, On the Diophantine Equation x2 + 2α 5β 13γ = yn.
    Algorithmic Number Theory Seminar (ANTS-VIII); LCNS 5011 (2008), pgs. 430-442.
    [PDF]
  9. Palindromes in Different Bases: A Conjecture of J. Ernest Wilkins.
    INTEGERS: The Electronic Journal of Combinatorial Number Theory, Vol. 9 (2009), pgs. 725-734.
    [arXiv] | [PDF]
  10. With Talitha Washington, A Tasty Combination: Multivariable Calculus and Differential Forms.
    The Pentagon: The Journal of Kappa Mu Epsilon, Fall 2009, pgs. 11-28.
    [arXiv] | [Journal] | [PDF]
  11. With Talitha Washington, Sphere-of-Influence Graphs.
    Wolfram Demonstrations Project. (February 4, 2010)
    [Mathematica CDF]
  12. Semi-Magic Squares and Elliptic Curves.
    Missouri Journal of Mathematical Sciences, Vol. 22 (2010), no. 2, pgs. 102 - 107.
    [arXiv] | [Journal] | [PDF]
  13. With Kevin Mugo, Points on Hyperbolas at Rational Distance.
    International Journal of Number Theory, Vol. 8, No. 4 (2012), pgs. 911-922.
    [arXiv] | [Journal] | [PDF]
  14. With Talitha Washington, The Area of the Surface Generated by Revolving a Graph About Any Line.
    PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, Vol. 23, Issue 2 (2013), pgs. 121-132.
    [arXiv] | [Journal] | [PDF]
  15. With Jing Ma, Susan Margulies, and Illya V. Hicks, Branch Decomposition Heuristics for Linear Matroids.
    Journal of Discrete Optimization. Vol. 10, Issue 2 (May 2013), pgs. 102-119.
    [Journal] | [PDF]
  16. With Alejandra Alvarado, Arithmetic Progressions on Conic Sections.
    International Journal of Number Theory, Vol. 9, No. 6 (2013), pgs. 1379-1393.
    [arXiv] | [PDF]
  17. With Talitha Washington, On the Generalized Climbing Stairs Problem.
    Ars Combinatoria, Vol. CXVII (October 2014), pgs. 183-190.
    [arXiv] | [PDF]
  18. With Asamoah Nkwanta, Riordan Matrix Representations of Euler's Constant γ and Euler's Number e.
    International Journal of Combinatorics, Volume 2016 (2016), Article ID 8324150, 9 pgs.
    [arXiv] | [Journal] | [PDF]


Publications In Press


    Publications Submitted

    1. With Alejandra Alvarado and Luis Melara. Numerical Approximation of Coefficients of Belyi Maps.
      [PDF]. Submitted 2016.
    2. Explicit Descent via 4-Isogeny on an Elliptic Curve, 20 pp.
      [arXiv] | [PDF]. Submitted 2016.


    Publications In Progress

    1. With Lloyd Kilford, Counting Mod l Solutions via Modular Forms.
      [PDF]
    2. Extending the Serre-Faltings Method for Q-Curves, 15 pp.
      [PDF]
    3. With Garikai Campbell, Heron Triangles, Diophantine Problems, and Elliptic Curves, 15 pp.
      [PDF]


    Books and Monographs

    1. Editor with Donald King, Gaston N'Guerekata, and Alfred Noel. Council for African American Researchers in the Mathematical Sciences, Vol. V; Contemp. Math. 467 (2008), 152 pgs.
      [PDF]


    Miscellaneous Lecture Notes and Publications