Geodesic
COMMON SOURCE OF NUMEROUS THETA FUNCTION IDENTITIES
Glasgow mathematical journal, Tome 49 (2007) no. 1, pp. 61-79

Voir la notice de l'article provenant de la source Cambridge University Press

Motivated by the recent work due to Warnaar (2005), two new and elementary proofs are presented for a very useful q-difference equation on eight shifted factorials of infinite order. As the common source of theta function identities, this q-difference equation is systematically explored to review old and establish new identities on Ramanujan's partition functions. Most of the identities obtained can be interpreted in terms of theorems on classical partitions.
DOI : 10.1017/S0017089507003424
Mots-clés : Primary 05A30, Secondary 14K25 
WENCHANG, CHU. COMMON SOURCE OF NUMEROUS THETA FUNCTION IDENTITIES. Glasgow mathematical journal, Tome 49 (2007) no. 1, pp. 61-79. doi: 10.1017/S0017089507003424
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