A Contemporary Conjecture for the Riemann Hypothesis

We will present two new results for the ''Dirichlet eta'' function \(S(s) =\sum\limits\limits_{n\geq 1}\frac{(-1)^{n}}{n^{s}}\) which would lead us to announce a new conjecture equivalent to that of the Rieman Hypothesis.

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Publication Details

Journal
Journal of Informatics and Mathematical Sciences
Published
2024-12-31
DOI
https://doi.org/10.26713/jims.v16i1.3092
Primary Topic
Analytic Number Theory Research
Type
article
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article

A Contemporary Conjecture for the Riemann Hypothesis

Aziz Arbai
Journal of Informatics and Mathematical Sciences
Analytic Number Theory Research
article

A Contemporary Conjecture for the Riemann Hypothesis

Aziz Arbai
article en

Abstract

We will present two new results for the ''Dirichlet eta'' function \(S(s) =\sum\limits\limits_{n\geq 1}\frac{(-1)^{n}}{n^{s}}\) which would lead us to announce a new conjecture equivalent to that of the Rieman Hypothesis.

Journal of Informatics and Mathematical SciencesVol. 16(1)
École Nationale de Commerce et de Gestion de Tanger (MA)
Openalex Percentile: Top 55%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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A Contemporary Conjecture for the Riemann Hypothesis — Aziz Arbai · Journal of Informatics and Mathematical Sciences (2024) | TGRS Research Map | TGRS