The fifth virial coefficient of hard spheres: complete proofs and computations

This is the technical companion to The fifth virial coefficient of hard spheres. It gives the complete proofs and computations: the contact reduction, lens-volume functionals, far-triple measure, curve identifications, and numerical comparisons. Together these arguments establish the representation stated in the companion paper. MSC2020: 82B21; 52A20, 33C75, 14H52, 65D30. Version 1.0.0, 15 October 2026. Main paper DOI 10.5281/zenodo.23364646; complete proofs and computations DOI 10.5281/zenodo.23364648; supplementary material DOI 10.5281/zenodo.23364650.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-15
DOI
https://doi.org/10.5281/zenodo.23364647
Primary Topic
Point processes and geometric inequalities
Type
preprint
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preprint

The fifth virial coefficient of hard spheres: complete proofs and computations

Sungsoo Na
Zenodo (CERN European Organization for Nuclear Research)
Point processes and geometric inequalities
preprint

The fifth virial coefficient of hard spheres: complete proofs and computations

Sungsoo Na
preprint en

Abstract

This is the technical companion to The fifth virial coefficient of hard spheres. It gives the complete proofs and computations: the contact reduction, lens-volume functionals, far-triple measure, curve identifications, and numerical comparisons. Together these arguments establish the representation stated in the companion paper. MSC2020: 82B21; 52A20, 33C75, 14H52, 65D30. Version 1.0.0, 15 October 2026. Main paper DOI 10.5281/zenodo.23364646; complete proofs and computations DOI 10.5281/zenodo.23364648; supplementary material DOI 10.5281/zenodo.23364650.

Zenodo (CERN European Organization for Nuclear Research)
Point processes and geometric inequalities
DOIOpen Access PDFOpenAlex
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