Odd-Weight Zeta Values from a Single Normalized Kernel via an Euler–Sum Operator

This is a preliminary preprint (work in progress).It presents a compact kernel–operator framework for isolating odd-weight Riemann zeta values from a single normalized rational kernel via an Euler–sum transformation.All analytic steps are classical; the contribution lies in the explicit conjugation-derived normalization and reusable operator workflow.Further numerical validation and extensions are in progress.Readers are encouraged to treat this version as exploratory and subject to revision in future updates.For feedback email [email protected]

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-10-28
DOI
https://doi.org/10.5281/zenodo.17467427
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
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article

Odd-Weight Zeta Values from a Single Normalized Kernel via an Euler–Sum Operator

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
article

Odd-Weight Zeta Values from a Single Normalized Kernel via an Euler–Sum Operator

article en

Abstract

This is a preliminary preprint (work in progress).It presents a compact kernel–operator framework for isolating odd-weight Riemann zeta values from a single normalized rational kernel via an Euler–sum transformation.All analytic steps are classical; the contribution lies in the explicit conjugation-derived normalization and reusable operator workflow.Further numerical validation and extensions are in progress.Readers are encouraged to treat this version as exploratory and subject to revision in future updates.For feedback email [email protected]

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 31%
Analytic Number Theory Research
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Odd-Weight Zeta Values from a Single Normalized Kernel via an Euler–Sum Operator · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS