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On the Expansion of a Product Formula Related with the Drinfeld Discriminant Function

✍ Scribed by Bartolomé López; Bodo Wack

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
109 KB
Volume
74
Category
Article
ISSN
0022-314X

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✦ Synopsis

In this work, we study the expansion of a product function U related to the Drinfeld discriminant 2(z); U is the analogue of the classical '-function. The main result is the formula given in Theorem 3.1. From this formula, we derive the fact that the expansion of U is lacunary for q>2 (Theorem 3.3) and the expansion (up to a certain bound) of U valid for any q, as in [Gekeler, Invent. Math. 93 (1988), 667 700].

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