Some formulas for the coefficients of Drinfeld modular forms

被引：4

作者：

Choi, SY ^{[1
]}

机构：

[1] Korea Adv Inst Sci & Technol, Dept Math, Taejon 305701, South Korea

来源：

JOURNAL OF NUMBER THEORY | 2006年 / 116卷 / 01期

关键词：

Drinfeld modular form; Drinfeld modular invariant;

D O I：

10.1016/j.jnt.2005.04.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain some formulas for t-expansion coefficients of meromorphic Drinfeld modular forms for GL(2)(F-q[T]). Let j(z) be the Drinfeld modular invariant. As an application we show that the values of j(z) at points in the divisor of Drinfeld. modular forms for GL(2)(F-q[T]) are algebraic over F-q(T). (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：159 / 167

页数：9

共 50 条

[31] Hecke characters associated to Drinfeld modular forms
Boeckle, Gebhard
Centeleghe, Tommaso
COMPOSITIO MATHEMATICA, 2015, 151 (11) : 2006 - 2058
[32] On certain Drinfeld modular forms of higher rank
Basson, Dirk
Breuer, Florian
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2017, 29 (03): : 827 - 843
[33] On Drinfeld modular forms of higher rank II
Gekeler, Ernst-Ulrich
JOURNAL OF NUMBER THEORY, 2022, 232 : 4 - 32
[34] On the action of Hecke operators on Drinfeld modular forms
Joshi, Kirti
Petrov, Aleksandar
JOURNAL OF NUMBER THEORY, 2014, 137 : 186 - 200
[35] From the Carlitz Exponential to Drinfeld Modular Forms
Pellarin, Federico
ARITHMETIC AND GEOMETRY OVER LOCAL FIELDS, VIASM 2018, 2021, 2275 : 93 - 177
[36] COEFFICIENTS OF MODULAR FORMS
BRANGES, LD
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 45 (02) : 300 - 323
[37] Duality of Drinfeld modules and p-adic properties of Drinfeld modular forms
Hattori, Shin
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2021, 103 (01): : 35 - 70
[38] On the typical size and cancellations among the coefficients of some modular forms
Luca, Florian
Radziwill, Maksym
Shparlinski, Igor E.
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2019, 166 (01) : 173 - 189
[39] Vectorial Drinfeld modular forms over Tate algebras
Pellarin, Federico
Perkins, Rudolph B.
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2018, 14 (06) : 1729 - 1783
[40] Representation theory of Drinfeld modular forms of level T
Roldan, Enrico Varela
JOURNAL OF NUMBER THEORY, 2017, 172 : 63 - 92

← 1 2 3 4 5 →