Extends one-level density support to (-8/3, 8/3) for the unitary family of Gamma_1(q) L-functions under GRH, verifying the Katz-Sarnak prediction and yielding a 62.5% central non-vanishing proportion.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.NT 2representative citing papers
citing papers explorer
-
One-level density of zeros of $\Gamma_1(q)$ $L$-functions
Extends one-level density support to (-8/3, 8/3) for the unitary family of Gamma_1(q) L-functions under GRH, verifying the Katz-Sarnak prediction and yielding a 62.5% central non-vanishing proportion.
- Low-Lying Zeros on the Critical Line for Families of Dirichlet $L$-Functions