Monotonicity of the imaginary part of the Riemann $ξ$ function in the region $S$
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915312073441280 |
|---|---|
| author | Liu, Jun |
| author_facet | Liu, Jun |
| contents | This paper proves that the imaginary part of the Riemann $ξ$ function is strictly monotonic with $b$ in the region $S = \{t|t=a+bi,\ 0\leq a \leq 9.508,\ -1/2<b<1/2\}$. That leads to Im($ξ$)=0 being true only when $b=0$ in $S$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_15210 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Monotonicity of the imaginary part of the Riemann $ξ$ function in the region $S$ Liu, Jun Classical Analysis and ODEs This paper proves that the imaginary part of the Riemann $ξ$ function is strictly monotonic with $b$ in the region $S = \{t|t=a+bi,\ 0\leq a \leq 9.508,\ -1/2<b<1/2\}$. That leads to Im($ξ$)=0 being true only when $b=0$ in $S$. |
| title | Monotonicity of the imaginary part of the Riemann $ξ$ function in the region $S$ |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2310.15210 |