Publications (78)
Asymmetries in the Shanks-Renyi Prime Number Race
Greg Martin
It has been well-observed that an inequality of the type is more likely to hold if is a non-square modulo and is a square modulo (the so-cal…
Continuous Ramsey Theory and Sidon Sets
Greg Martin, Kevin O'Bryant
A symmetric subset of the reals is one that remains invariant under some reflection x --> c-x. Given 0 < x < 1, there exists a real number D(x) with the following property: if 0 <…
Simultaneous inequalities among values of the Euler phi-function
Greg Martin
This paper concerns the values of the Euler phi-function evaluated simultaneously on k arithmetic progressions a_1 n + b_1, a_2 n + b_2, ..., a_k n + b_k. Assuming the necessary co…
Restoring Fairness to Dukego
Greg Martin
In this paper we correct an analysis of the two-player perfect-information game Dukego given in Berlekamp, Conway, and Guy's Winning Ways for your Mathematical Plays (Chapter 19).…
A heuristic for discrete mean values of the derivative of the Riemann zeta function
Christopher Hughes, Greg Martin, Andrew Pearce-Crump
Shanks conjectured that , where ranges over non-trivial zeros of the Riemann zeta function, is real and positive in the mean. We present a history of this problem, i…
Addressing the underrepresentation of women in mathematics conferences
Greg Martin
Despite significant improvements over the last few generations, the discipline of mathematics still counts a disproportionately small number of women among its practitioners. These…