Gaps between zeros of zeta and L-functions of high degree
Document Type
Lecture
Publication Date
4-25-2023
Abstract
There is a great deal of evidence, both theoretical and experimental, that the distribution of zeros of zeta and L-functions can be modeled using statistics of eigenvalues of random matrices from classical compact groups. In particular, we expect that there are arbitrarily large and small normalized gaps between the ordinates of (high) zeros zeta and L-functions. Previous results are known for zeta and L-functions of degrees 1 and 2. We discuss some new results for higher degrees, including Dedekind zeta-functions associated to Galois extensions of $\mathbb{Q}$ and principal automorphic L-functions. This is joint work with Micah Milinovich.
Relational Format
presentation
Recommended Citation
Hernandez-Palacios, Jaime, "Gaps between zeros of zeta and L-functions of high degree" (2023). Algebra/Number Theory Seminar. 3.
https://egrove.olemiss.edu/math_algebra_number_theory/3
