Experimenting with the Garsia-Milne Involution Principle

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Ekhad, Shalosh B., Zeilberger, Doron
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212876
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Experimenting with the Garsia-Milne Involution Principle. Shalosh B. Ekhad and Doron Zeilberger. SIGMA 21 (2025), 015, 6 pages

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...