Lower bounds for $$\zeta (1+it)$$ and GL(3)
Abstract We develop a soft method for deriving lower bounds for the Riemann zeta function on $$\operatorname {Re}(s)=1$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>Re</mml:mo> <mml:mo>(</mml:mo> <mml:mi>s</mml:mi> <mml:mo>)</mml:mo> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> using the theory of GL (3) Eisenstein series.
Authors
- Xiaoqing Li (ORCID: https://orcid.org/0000-0002-0360-2547)
Institutions
- University at Buffalo, State University of New York (US)
Publication Details
- Journal
- The Ramanujan Journal
- Published
- 2025-08-30
- DOI
- https://doi.org/10.1007/s11139-025-01202-7
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00