42 citations · 142 across the 31 of their papers we have counts for
32 papers
Binomial coefficients with divisors avoiding an interval
Hung M. Bui, Slava Naprienko, Kyle Pratt +1
We solve a fifty-year-old conjecture of Erdős and Graham concerning whether the binomial coefficient with must always have a divisor $\le…
A note on the zeros of the derivatives of Hardy's function
Hung M. Bui, R. R. Hall
Using the twisted fourth moment of the Riemann zeta-function we study large gaps between consecutive zeros of the derivatives of Hardy's function , improving upon previous re…
A problem of Erdős-Graham-Granville-Selfridge on integral points on hyperelliptic curves
Hung M. Bui, Kyle Pratt, Alexandru Zaharescu
Erdős, Graham, and Selfridge considered, for each positive integer , the least value of so that the integers contain a subset the product of whos…
Power savings for counting solutions to polynomial-factorial equations
Hung M. Bui, Kyle Pratt, Alexandru Zaharescu
Let be a polynomial with integer coefficients and degree at least two. We prove an upper bound on the number of integer solutions to which yields a power…
Weighted central limit theorems for central values of -functions
Hung M. Bui, Natalie Evans, Stephen Lester +1
We establish a central limit theorem for the central values of Dirichlet -functions with respect to a weighted measure on the set of primitive characters modulo as $q \right…
The Ratios Conjecture and upper bounds for negative moments of -functions over function fields
Hung M. Bui, Alexandra Florea, Jonathan P. Keating
We prove special cases of the Ratios Conjecture for the family of quadratic Dirichlet --functions over function fields. More specifically, we study the average of $L(1/2+α,χ_D)/…