14 citations · 32 across the 17 of their papers we have counts for
4 papers · 1 filter
Distribution of squarefree values of sequences associated with elliptic curves
Shabnam Akhtari, Chantal David, Heekyoung Hahn +1
Let E be a non-CM elliptic curve defined over Q. For each prime p of good reduction, E reduces to a curve E_p over the finite field F_p. For a given squarefree polynomial f(x,y), w…
Variations on a question concerning the degrees of divisors of x^n-1
Lola Thompson
In this paper, we examine a natural question concerning the divisors of the polynomial x^n-1: "How often does x^n-1 have a divisor of every degree between 1 and n?" In a previous p…
On the degrees of divisors of T^n-1
Paul Pollack, Lola Thompson
Fix a field . In this paper, we study the sets $\D_F(n) \subset [0,n]$ defined by [\D_F(n):= {0 \leq m \leq n: T^n-1\text{has a divisor of degree in} F[T]}.] When $\D_F(n)$…
Practical pretenders
Paul Pollack, Lola Thompson
Following Srinivasan, an integer n\geq 1 is called practical if every natural number in [1,n] can be written as a sum of distinct divisors of n. This motivates us to define f(n) as…