A basis for the space of weakly holomorphic Drinfeld modular forms for GL(2)(A)

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초록

We construct a canonical basis for the space of weakly holomorphic Drinfeld modular forms. And we find that the basis elements satisfy a generating function and the duality among coefficients of the basis elements. Moreover we obtain the congruence properties of t-expansion coefficients of these functions under some conditions. (c) 2019 Elsevier Inc. All rights reserved.

키워드

Weakly holomorphic Drinfeld&nbspmodular formsCongruencesGenerating functionsCOEFFICIENTSZEROS
제목
A basis for the space of weakly holomorphic Drinfeld modular forms for GL(2)(A)
저자
Choi, SoYoung
DOI
10.1016/j.jnt.2019.03.020
발행일
2022-03
유형
Article
저널명
Journal of Number Theory
232
페이지
101 ~ 117