Autor:	Zudilin, Wadim
Rok vydání:	2024
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Combinatorics Mathematics - Number Theory Mathematics - Representation Theory Primary 11P84 Secondary 05A15 11F03 11N37
Druh dokumentu:	Working Paper
Popis:	The product sides of the Rogers--Ramanujan identities and alike often appear to be "transparently modular" (functions). The old work by Rogers (1894) and recent work by Rosengren make use (somewhat implicitly) of this fact for proving the identities with the help of underlying modular equations$-$the main challenge is verifying the latter for the sum sides. Here we speculate on the potentials of using the asymptotics of such $q$-identities or their finite versions for proving them. Comment: 7 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.11100 Zobrazit plný text záznamu View this record from Arxiv