Published March 9, 2026
| Version v1
Preprint
Open
Asymmetry of Generalized $\zeta$ Functions under the Rotation Number Hypothesis
Authors/Creators
- 1. Université des Sciences et de la Technologie Houari Boumediene Faculté des Mathématiques
Description
In this manuscript, we prove that the Riemann zeta function satisfies $\big(\zeta(s),\zeta(1-\overline{s})\big)\neq(0,0)$ for any $s$ in the critical strip, even when the fractional part function is replaced by a function satisfying a specific \textit{Rotation Number Hypothesis}.
Files
Oukil.pdf
Files
(242.8 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:a04d6e905e467d17fa4f42dd885f46ca
|
242.8 kB | Preview Download |