Observed Errors in a Four-Term High-Precision Evaluation of Pi

This numerical note records observed absolute differences for one- through four-term evaluations of pi at specified multiple-precision settings. A four-term run at 2000 decimal working digits gives an observed difference of approximately 1.09 times ten to the minus 1389. The evaluation formula and implementation are not included, so this is a numerical result sheet rather than a reproducible algorithm paper.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-02
DOI
https://doi.org/10.5281/zenodo.23887938
Primary Topic
Numerical Methods and Algorithms
Type
article
Field-Weighted Citation Impact
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article

Observed Errors in a Four-Term High-Precision Evaluation of Pi

Ziping Guo
Zenodo (CERN European Organization for Nuclear Research)
Numerical Methods and Algorithms
article

Observed Errors in a Four-Term High-Precision Evaluation of Pi

Ziping Guo
article en

Abstract

This numerical note records observed absolute differences for one- through four-term evaluations of pi at specified multiple-precision settings. A four-term run at 2000 decimal working digits gives an observed difference of approximately 1.09 times ten to the minus 1389. The evaluation formula and implementation are not included, so this is a numerical result sheet rather than a reproducible algorithm paper.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 17%
Numerical Methods and Algorithms
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Observed Errors in a Four-Term High-Precision Evaluation of Pi — Ziping Guo · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS