2 papers
math.NT2025
Explicit zero-free regions for automorphic -functions
Steven Creech, Alia Hamieh, Simran Khunger +3
Let be the -function associated with a newform of even weight , squarefree level and trivial nebentypus. In this paper, we establish a new explicit zero-free…
math.NT2025
Sub-Weyl bound for via trivial delta
Roman Holowinsky, Ritabrata Munshi, Prahlad Sharma +1
For a form , we obtain the sub-Weyl bound \begin{equation*} L(1/2+it,f)\ll_{f,\varepsilon} t^{1/3-δ+\varepsilon}, \end{equation*} where , thereby c…