Gauss-Riemann Spectral Calculus: Riemann-Original Integral and Series Interfaces

This four-preprint package develops the Riemann-original integral and series interface branch of Gauss-Riemann Spectral Calculus (GRSC). The papers organize Riemann-original measure-relation grammar, observation remainders, finite integral readings, spectral-tail bridges, Lean and numerical interfaces, terminal benchmark tables, and a float-error audit. The package is presented as a public route and benchmark artifact, not as a complete Riemann integration theory or theorem-level analytic closure.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-09
DOI
https://doi.org/10.5281/zenodo.20612746
Primary Topic
Advanced Algebra and Geometry
Type
preprint
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preprint

Gauss-Riemann Spectral Calculus: Riemann-Original Integral and Series Interfaces

Wangyue
Zenodo (CERN European Organization for Nuclear Research)
Advanced Algebra and Geometry
preprint

Gauss-Riemann Spectral Calculus: Riemann-Original Integral and Series Interfaces

Wangyue
preprint en

Abstract

This four-preprint package develops the Riemann-original integral and series interface branch of Gauss-Riemann Spectral Calculus (GRSC). The papers organize Riemann-original measure-relation grammar, observation remainders, finite integral readings, spectral-tail bridges, Lean and numerical interfaces, terminal benchmark tables, and a float-error audit. The package is presented as a public route and benchmark artifact, not as a complete Riemann integration theory or theorem-level analytic closure.

Zenodo (CERN European Organization for Nuclear Research)
Quality Education
Advanced Algebra and Geometry
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Gauss-Riemann Spectral Calculus: Riemann-Original Integral and Series Interfaces — Wangyue · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS