B. Mackall

collaborators

2 papers

math.NT2018

Lower-Order Biases Second Moments of Dirichlet Coefficients in Families of $L$ -Functions

Megumi Asada, Ryan Chen, Eva Fourakis +9

Let $E : y^{2} = x^{3} + A (T) x + B (T)$ be a nontrivial one-parameter family of elliptic curves over $Q (T)$ , with $A (T), B (T) \in Z (T)$ , and consider the $k$ \te…

math.NT2016

Some Results in the Theory of Low-lying Zeros: Determining the 1-level density, identifying the group symmetry and the arithmetic of moments of Satake parameters

Blake Mackall, Steven J. Miller, Christina Rapti +5

While Random Matrix Theory has successfully modeled many quantities of families of L-functions, it frequently cannot see the family's arithmetic. In some situations this requires a…

Lower-Order Biases Second Moments of Dirichlet Coefficients in Families of L-Functions

Some Results in the Theory of Low-lying Zeros: Determining the 1-level density, identifying the group symmetry and the arithmetic of moments of Satake parameters

Lower-Order Biases Second Moments of Dirichlet Coefficients in Families of $L$ -Functions