1 citations · 2 across the 3 of their papers we have counts for
5 papers
Supercharacter theory and applications to Ramanujan sums over a finite Frobenius ring
Tung T. Nguyen, Nguyen Duy Tân, Enrique Treviño
The theory of Ramanujan sums has been playing a fundamental role in several subfields of mathematics. They appear in the theory of special values of zeta functions, spectral graph…
Generalizing parking functions with randomness
Melanie Tian, Enrique Treviño
Consider cars that want to park in a parking lot with parking spaces that appear in order. Each car has a parking preference $α_i \…
On the sum of -th powers in terms of earlier sums
Steven J. Miller, Enrique Treviño
For a positive integer let , i.e., is the sum of the first -th powers. Faulhaber conjectured (later proved by Jacobi) that for $k…
Resolving Grosswald's conjecture on GRH
Kevin McGown, Enrique Treviño, Tim Trudgian
In this paper we examine Grosswald's conjecture on , the least primitive root modulo . Assuming the Generalized Riemann Hypothesis (GRH), and building on previous work by…
The Burgess inequality and the least k-th power non-residue
Enrique Treviño
The Burgess inequality is the best upper bound we have for the character sum Until recently, no explicit estimates had been given for the inequ…