49 citations · 92 across the 22 of their papers we have counts for
21 papers · 1 filter
The South Caicos Factoring Algorithm
Michael O. Rubinstein
Let , where are integers, with , and . We describe a probabilistic algorithm for factoring using bit operations.
Some multidimensional integrals in number theory and connections with the Painlevé V equation
Estelle Basor, Fan Ge, Michael O. Rubinstein
We study piecewise polynomial functions that appear in the asymptotics of averages of the divisor sum in short intervals. Specifically, we express these polynomials as the…
Moments of zeta functions associated to hyperelliptic curves over finite fields
Michael O. Rubinstein, Kaiyu Wu
Let be an odd prime power, and denote the set of square-free monic polynomials of degree . Katz and Sarnak showed that the moments, over $H_{d,q}…
Elliptic curves of high rank and the Riemann zeta function on the one line
Michael O. Rubinstein
We describe some experiments that show a connection between elliptic curves of high rank and the Riemann zeta function on the one line. We also discuss a couple of statistics invol…
The highest lowest zero of general L-functions
Jonathan Bober, J. Brian Conrey, David W. Farmer +5
Stephen D. Miller showed that, assuming the generalized Riemann Hypothesis, every entire -function of real archimedian type has a zero in the interval with $-t_0 <…
Identities for the Hurwitz zeta function, Gamma function, and L-functions
Michael O. Rubinstein
We derive several identities for the Hurwitz and Riemann zeta functions, the Gamma function, and Dirichlet -functions. They involve a sequence of polynomials whose stud…