A Stunning Result for a Difference between Series involving the Eta Function of Even Numbers

This paper shows how, in a stunning way, a closed form can be obtained for the difference between series involving the Dirichlet Eta function of even numbers. At page 12 is explained why this is the case.

Publication Details

Journal
Figshare
Published
2025-01-01
DOI
https://doi.org/10.6084/m9.figshare.29605640.v1
Primary Topic
Meromorphic and Entire Functions
Type
article
Field-Weighted Citation Impact
0.00
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article

A Stunning Result for a Difference between Series involving the Eta Function of Even Numbers

Figshare
Meromorphic and Entire Functions
article

A Stunning Result for a Difference between Series involving the Eta Function of Even Numbers

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Abstract

This paper shows how, in a stunning way, a closed form can be obtained for the difference between series involving the Dirichlet Eta function of even numbers. At page 12 is explained why this is the case.

Figshare
Openalex Percentile: Top 45%
Meromorphic and Entire Functions
DOISourceOpenAlex
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A Stunning Result for a Difference between Series involving the Eta Function of Even Numbers · Figshare (2025) | TGRS Research Map | TGRS