N. Kaplan

activity

20102024

most citedCounting Numerical Semigroups

31 citations · 208 across the 28 of their papers we have counts for

collaborators

Showing 2015 · math.NTShow all

3 papers · 2 filters

math.NT2015★ 14 cited

Elliptic curves over a finite field and the trace formula

Nathan Kaplan, Ian Petrow

We prove formulas for power moments for point counts of elliptic curves over a finite field $k$ such that the groups of $k$ -points of the curves contain a chosen subgroup. These fo…

math.NT2015★ 4 cited

Traces of Hecke Operators and Refined Weight Enumerators of Reed-Solomon Codes

Nathan Kaplan, Ian Petrow

We study the quadratic residue weight enumerators of the dual projective Reed-Solomon codes of dimensions $5$ and $q - 4$ over the finite field $F_{q}$ . Our main results are f…

math.NT2015

The distribution of $F_{q}$ -points on cyclic $ℓ$ -covers of genus $g$

Alina Bucur, Chantal David, Brooke Feigon +4

We study fluctuations in the number of points of $ℓ$ -cyclic covers of the projective line over the finite field $F_{q}$ when $q \equiv 1 mod ℓ$ is fixed and the genus…

Elliptic curves over a finite field and the trace formula

Traces of Hecke Operators and Refined Weight Enumerators of Reed-Solomon Codes

The distribution of Fq​-points on cyclic ℓ-covers of genus g

The distribution of $F_{q}$ -points on cyclic $ℓ$ -covers of genus $g$