Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions
Hock, Alexander; Shadrin, Sergey;Wulkenhaar, Raimar
Forschungsartikel in Online-Sammlung | Preprint | Peer reviewedZusammenfassung
We prove that meromorphic differentials ω(0)n(z1,...,zn) which are recursively generated by an involution identity are symmetric in all their arguments z1,...,zn. The proof involves an intriguing combinatorial identity between integer partitions into given number of parts.
Details zur Publikation
Name des Repositoriums: arXiv
Artikelnummer: 2501.00082
Status: eingereicht / in Begutachtung
Veröffentlichungsjahr: 2025
Sprache, in der die Publikation verfasst ist: Englisch
Link zum Volltext: https://doi.org/10.48550/arXiv.2501.00082
Stichwörter: Meromorphic forms on Riemann surfaces; Residue calculus; Involution; Integer partitions.
Autor*innen der Universität Münster
| Wulkenhaar, Raimar | Professur für Reine Mathematik (Prof. Wulkenhaar) |