For all sufficiently large primes q, the lowest non-trivial zero of Dirichlet L-functions modulo q has height below 1075 times the average spacing, with a positive proportion having even smaller first zeros.
Zhao.The positivity technique and low-lying zeros of DirichletL-functions
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.NT 2years
2025 2verdicts
UNVERDICTED 2representative citing papers
Establishes two unconditional upper bounds on gaps between consecutive non-trivial zeros of general L-functions and identifies regime-dependent superiority between Hall-Hayman and Siegel approaches.
citing papers explorer
-
Unconditional estimates on the argument of Dirichlet $L$-functions with applications to low-lying zeros
For all sufficiently large primes q, the lowest non-trivial zero of Dirichlet L-functions modulo q has height below 1075 times the average spacing, with a positive proportion having even smaller first zeros.
-
Upper bounds on gaps between zeros of $L$-functions
Establishes two unconditional upper bounds on gaps between consecutive non-trivial zeros of general L-functions and identifies regime-dependent superiority between Hall-Hayman and Siegel approaches.