{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T11:07:05Z","timestamp":1774264025931,"version":"3.50.1"},"reference-count":25,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2019,7,11]],"date-time":"2019-07-11T00:00:00Z","timestamp":1562803200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>It is common lore that the canonical gravitational partition function    Z    associated with the classical Boltzmann-Gibbs (BG) exponential distribution cannot be built up because of mathematical pitfalls. The integral needed for writing up    Z    diverges. We review here how to avoid this pitfall and obtain a (classical) statistical mechanics of Newton\u2019s gravitation. This is done using (1) the analytical extension treatment obtained of Gradshteyn and Rizhik and (2) the well known dimensional regularization technique.<\/jats:p>","DOI":"10.3390\/e21070677","type":"journal-article","created":{"date-parts":[[2019,7,11]],"date-time":"2019-07-11T11:28:28Z","timestamp":1562844508000},"page":"677","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["A Review of the Classical Canonical Ensemble Treatment of Newton\u2019s Gravitation"],"prefix":"10.3390","volume":"21","author":[{"given":"Flavia","family":"Pennini","sequence":"first","affiliation":[{"name":"Fac. de C. Exactas-National University La Pampa, Peru y Uruguay, Santa Rosa, La Pampa 6300, Argentina"},{"name":"Consejo Nacional de Investigaciones Cient\u00edficas y Tecnol\u00f3gicas, (IFLP-CCT-CONICET)-C. C. 727, 1900 La Plata, Argentina"},{"name":"Departamento de F\u00edsica, Universidad Cat\u00f3lica del Norte, Av. Angamos 0610, Antofagasta 2340000, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5934-2783","authenticated-orcid":false,"given":"Angel","family":"Plastino","sequence":"additional","affiliation":[{"name":"Consejo Nacional de Investigaciones Cient\u00edficas y Tecnol\u00f3gicas, (IFLP-CCT-CONICET)-C. C. 727, 1900 La Plata, Argentina"},{"name":"Departamento de F\u00edsica, Universidad Nacional de La Plata, La Plata 1900, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mario","family":"Rocca","sequence":"additional","affiliation":[{"name":"Consejo Nacional de Investigaciones Cient\u00edficas y Tecnol\u00f3gicas, (IFLP-CCT-CONICET)-C. C. 727, 1900 La Plata, Argentina"},{"name":"Departamento de F\u00edsica, Universidad Nacional de La Plata, La Plata 1900, Argentina"},{"name":"Departamento de Matem\u00e1tica, Universidad Nacional de La Plata, La Plata 1900, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gustavo","family":"Ferri","sequence":"additional","affiliation":[{"name":"Fac. de C. Exactas-National University La Pampa, Peru y Uruguay, Santa Rosa, La Pampa 6300, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,7,11]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1093\/mnras\/181.3.405","article-title":"On the negative specific heat paradox","volume":"181","year":"1977","journal-title":"Mon. Not. R. Astron. 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