Experimenting with the Garsia-Milne Involution Principle
In 1981, Adriano Garsia and Steve Milne found the first bijective proof of the celebrated Rogers-Ramanujan identities. To achieve this feat, they invented a versatile tool that they called the Involution Principle. In this note, we revisit this useful principle from a very general perspective, indep...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2025 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2025
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/212876 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Experimenting with the Garsia-Milne Involution Principle. Shalosh B. Ekhad and Doron Zeilberger. SIGMA 21 (2025), 015, 6 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862745740458065920 |
|---|---|
| author | Ekhad, Shalosh B. Zeilberger, Doron |
| author_facet | Ekhad, Shalosh B. Zeilberger, Doron |
| citation_txt | Experimenting with the Garsia-Milne Involution Principle. Shalosh B. Ekhad and Doron Zeilberger. SIGMA 21 (2025), 015, 6 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In 1981, Adriano Garsia and Steve Milne found the first bijective proof of the celebrated Rogers-Ramanujan identities. To achieve this feat, they invented a versatile tool that they called the Involution Principle. In this note, we revisit this useful principle from a very general perspective, independent of its application to specific combinatorial identities, and explore its complexity.
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| first_indexed | 2026-03-21T18:31:05Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212876 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T18:31:05Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ekhad, Shalosh B. Zeilberger, Doron 2026-02-13T13:49:26Z 2025 Experimenting with the Garsia-Milne Involution Principle. Shalosh B. Ekhad and Doron Zeilberger. SIGMA 21 (2025), 015, 6 pages 1815-0659 2020 Mathematics Subject Classification: 05A19 arXiv:2501.18061 https://nasplib.isofts.kiev.ua/handle/123456789/212876 https://doi.org/10.3842/SIGMA.2025.015 In 1981, Adriano Garsia and Steve Milne found the first bijective proof of the celebrated Rogers-Ramanujan identities. To achieve this feat, they invented a versatile tool that they called the Involution Principle. In this note, we revisit this useful principle from a very general perspective, independent of its application to specific combinatorial identities, and explore its complexity. Many thanks to Svante Janson for helpful probability guidance. Also, many thanks to anonymous referees for corrections and insightful comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Experimenting with the Garsia-Milne Involution Principle Article published earlier |
| spellingShingle | Experimenting with the Garsia-Milne Involution Principle Ekhad, Shalosh B. Zeilberger, Doron |
| title | Experimenting with the Garsia-Milne Involution Principle |
| title_full | Experimenting with the Garsia-Milne Involution Principle |
| title_fullStr | Experimenting with the Garsia-Milne Involution Principle |
| title_full_unstemmed | Experimenting with the Garsia-Milne Involution Principle |
| title_short | Experimenting with the Garsia-Milne Involution Principle |
| title_sort | experimenting with the garsia-milne involution principle |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212876 |
| work_keys_str_mv | AT ekhadshaloshb experimentingwiththegarsiamilneinvolutionprinciple AT zeilbergerdoron experimentingwiththegarsiamilneinvolutionprinciple |