A new improved explicit estimate for $ζ\left( 1/2+it\right)$
Abstract
In this paper, we present an improved explicit subconvexity result for the Riemann zeta function $ζ\left( s\right)$ along the critical line $s=1/2+it$, given by Hiary, Patel and Yang in 2024. This new bound is derived by combining a refined, explicit version of the van der Corput method together with computational calculations.
Fields of Study & Subjects
Analytic Number Theory Research
Advanced Mathematical Identities
Mathematical Approximation and Integration
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 5 February 2026
- Document type
- Preprint