From the Carlitz Exponential to Drinfeld Modular Forms

被引：4
作者：
Pellarin, Federico [1 ]
机构：
[1] Inst Camille Jordan, UMR 5208, Site St Etienne, St Etienne, France
来源：
ARITHMETIC AND GEOMETRY OVER LOCAL FIELDS, VIASM 2018 | 2021年 / 2275卷
关键词：
CLASS FIELD-THEORY; VALUES; SERIES;
D O I：
10.1007/978-3-030-66249-3_4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper contains the written notes of a course the author gave at the VIASMof Hanoi in the Summer 2018. It provides an elementary introduction to the analytic naive theory of Drinfeld modular forms for the simplest `Drinfeld modular group' GL(2)(F-q [theta]) also providing some perspectives of development, notably in the direction of the theory of vector modular forms with values in certain ultrametric Banach algebras.
引用
收藏
页码：93 / 177
页数：85
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