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On the Drinfeld discriminant function

✍ Scribed by ERNST-ULRICH GEKELER

Book ID
111522885
Publisher
Cambridge University Press
Year
1997
Tongue
English
Weight
246 KB
Volume
106
Category
Article
ISSN
0010-437X

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πŸ“œ SIMILAR VOLUMES

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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)

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Let \(k\) be a global function field with constant field \(\mathbb{F}_{q}\). Let \(\infty\) be a place of \(k\) and let \(\mathbb{c}_{k}\) be the ring of functions regular outside of \(\propto\). Once a sign function has been chosen, one can define a discriminant function on the set of rank 1 Drinfe