Distibution of values of higher derivatives of $L'(s,χ)/L(s,χ)$
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Accesso online: | |
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| _version_ | 1866917190901432320 |
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| author | Ghosh, Samprit |
| author_facet | Ghosh, Samprit |
| contents | In this article we study the value distribution theory for the first derivative of the logarithmic derivative of Dirichlet $L$-functions, generalizing certain results of Ihara, Matsumoto et. al. related to ``$M$-functions" for $σ= $ Re$(s) > 1$. We then discuss how things evolve for higher derivatives. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_05189 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Distibution of values of higher derivatives of $L'(s,χ)/L(s,χ)$ Ghosh, Samprit Number Theory In this article we study the value distribution theory for the first derivative of the logarithmic derivative of Dirichlet $L$-functions, generalizing certain results of Ihara, Matsumoto et. al. related to ``$M$-functions" for $σ= $ Re$(s) > 1$. We then discuss how things evolve for higher derivatives. |
| title | Distibution of values of higher derivatives of $L'(s,χ)/L(s,χ)$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2601.05189 |