2 citations · 2 across the 3 of their papers we have counts for
4 papers
On the minimal number of small elements generating prime field
Marc Munsch
In this note, we give an upper bound for the number of elements from the interval necessary to generate the finite field with an odd pri…
Square-full primitive roots
Marc Munsch, Tim Trudgian
We use character sum estimates to give a bound on the least square-full primitive root modulo a prime. Specifically, we show that there is a square-full primitive root mod less…
Upper and lower bounds for higher moments of theta functions
Marc Munsch, Igor E. Shparlinski
We obtain optimal lower bounds for moments of theta functions. On the other hand, we also get new upper bounds on individual theta values and moments of theta functions on average…
Distribution of factorials modulo p
Oleksiy Klurman, Marc Munsch
We prove that the sequence occupies at least residue classes in the short interval and improving prev…