A product formula for the higher rank Drinfeld discriminant function

JOURNAL OF NUMBER THEORY

卷:178

Article

Basson, Dirk¹ 

[1] Stellenbosch Univ, Dept Math Sci, Private Bag X1, ZA-7602 Stellenbosch, South Africa

关键词: Drinfeld modular forms;    Product expansion;    Drinfeld discriminant function;    Higher rank;   

DOI  :  10.1016/j.jnt.2017.02.010

来源: Elsevier

【 摘 要 】

We give a product expansion for the Drinfeld discriminant function in arbitrary rank r, which generalises the formula obtained by Gekeler for the rank 2 Drinfeld discriminant function. This enables one to compute the u-expansion of this function much more efficiently. The formula in this article uses an r - 1-dimensional parameter and as such provides a nice counterpoint to the formula previously obtained by Hamahata, which is written in terms of several 1-dimensional parameters. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free