4 papers
Counting sign changes of partial sums of random multiplicative functions
Nick Geis, Ghaith Hiary
Let be a Rademacher random multiplicative function. Let be the partial sum of . Let denote the number of sign changes of u…
A Generalization of Lehman's Method
Jonathon Hales, Ghaith Hiary
A new deterministic algorithm for finding square divisors, and finding -power divisors in general, is presented. This algorithm is based on Lehman's method for integer factoriza…
Calculations of the invariant measure for Hurwitz Continued Fractions
Ghaith Hiary, Joseph Vandehey
We study the density of the invariant measure of the Hurwitz complex continued fraction from a computational perspective. It is known that this density is piece-wise real-analytic…
Asymptotics and formulas for cubic exponential sums
Ghaith A. Hiary
Several asymptotic expansions and formulas for cubic exponential sums are derived. The expansions are most useful when the cubic coefficient is in a restricted range. This generali…