Connor Lane

collaborators

3 papers

math.NT2024

AGM aquariums and elliptic curves over arbitrary finite fields

June Kayath, Connor Lane, Ben Neifeld +2

In this paper, we define a version of the arithmetic-geometric mean (AGM) function for arbitrary finite fields $F_{q}$ , and study the resulting AGM graph with points $(a,b)…

math.NT2024

Subspaces spanned by eigenforms with nonvanishing twisted central $L$ -values

June Kayath, Connor Lane, Ben Neifeld +2

In this paper, we construct explicit spanning sets for two spaces. One is the subspace generated by integral-weight Hecke eigenforms with nonvanishing quadratic twisted central $L$ …

math.NT2023

Asymptotic Distribution of Residues in Pascal's Triangle mod $p$

Connor Lane

Fix a prime $p$ and define $T_{p} (n)$ to be the number of nonzero residues in the $n$ th row of pascal's triangle mod $p$ , and define $ϕ_{p} (n)$ to be the number of nonzero residues in…

AGM aquariums and elliptic curves over arbitrary finite fields

Subspaces spanned by eigenforms with nonvanishing twisted central L-values

Asymptotic Distribution of Residues in Pascal's Triangle mod p

Subspaces spanned by eigenforms with nonvanishing twisted central $L$ -values

Asymptotic Distribution of Residues in Pascal's Triangle mod $p$