On the expansion of a product formula related with the Drinfeld discriminant function

Authors
Lopez, B Wack, B
Citation
B. Lopez et B. Wack, On the expansion of a product formula related with the Drinfeld discriminant function, J NUMBER TH, 74(2), 1999, pp. 298-306
Citations number
3
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF NUMBER THEORY
ISSN journal
0022314X → ACNP
Volume
74
Issue
2
Year of publication
1999
Pages
298 - 306
Database
ISI
SICI code
0022-314X(199902)74:2<298:OTEOAP>2.0.ZU;2-U
Abstract
In this work, we study the expansion of a product function U related to the Drinfeld discriminant Delta(z); U is the analogue of the classical eta-fun ction. The main result is the formula given in Theorem 3.1. From this formu la, we derive the fact that the expansion of U is lacunary for q > 2(Theore m 3.3) and the expansion (up to a certain bound) of U valid for any q, as i n [Gekeler, Invent. Math. 93 (1988), 667-700]. (C) 1999 Academic Press.