A Minimum Property for Cuboidal Lattice Sums
We analyse a family of lattices considered by Conway and Sloane and show that the corresponding Epstein zeta function attains a local minimum for the body-centred cubic lattice.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2025 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2025
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212872 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A Minimum Property for Cuboidal Lattice Sums. Shaun Cooper and Peter Schwerdtfeger. SIGMA 21 (2025), 019, 7 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862738475222040576 |
|---|---|
| author | Cooper, Shaun Schwerdtfeger, Peter |
| author_facet | Cooper, Shaun Schwerdtfeger, Peter |
| citation_txt | A Minimum Property for Cuboidal Lattice Sums. Shaun Cooper and Peter Schwerdtfeger. SIGMA 21 (2025), 019, 7 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We analyse a family of lattices considered by Conway and Sloane and show that the corresponding Epstein zeta function attains a local minimum for the body-centred cubic lattice.
|
| first_indexed | 2026-03-21T18:30:48Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212872 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T18:30:48Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Cooper, Shaun Schwerdtfeger, Peter 2026-02-13T13:48:58Z 2025 A Minimum Property for Cuboidal Lattice Sums. Shaun Cooper and Peter Schwerdtfeger. SIGMA 21 (2025), 019, 7 pages 1815-0659 2020 Mathematics Subject Classification: 11E45; 11H31 arXiv:2501.05746 https://nasplib.isofts.kiev.ua/handle/123456789/212872 https://doi.org/10.3842/SIGMA.2025.019 We analyse a family of lattices considered by Conway and Sloane and show that the corresponding Epstein zeta function attains a local minimum for the body-centred cubic lattice. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Minimum Property for Cuboidal Lattice Sums Article published earlier |
| spellingShingle | A Minimum Property for Cuboidal Lattice Sums Cooper, Shaun Schwerdtfeger, Peter |
| title | A Minimum Property for Cuboidal Lattice Sums |
| title_full | A Minimum Property for Cuboidal Lattice Sums |
| title_fullStr | A Minimum Property for Cuboidal Lattice Sums |
| title_full_unstemmed | A Minimum Property for Cuboidal Lattice Sums |
| title_short | A Minimum Property for Cuboidal Lattice Sums |
| title_sort | minimum property for cuboidal lattice sums |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212872 |
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