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A product formula for the higher rank Drinfeld discriminant function.
- Source :
-
Journal of Number Theory . Sep2017, Vol. 178, p190-200. 11p. - Publication Year :
- 2017
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 178
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 122911986
- Full Text :
- https://doi.org/10.1016/j.jnt.2017.02.010