Transcendence of zeros of Jacobi forms

被引：0

作者：

Choie, YoungJu ^{[1
]}

Kohnen, Winfried ^{[2
]}

机构：

[1] Pohang Inst Sci & Technol, Dept Math, POSTECH, Pohang 790784, South Korea

[2] Heidelberg Univ, Mathemat Inst, INF 288, D-69120 Heidelberg, Germany

来源：

RAMANUJAN JOURNAL | 2016年 / 41卷 / 1-3期

关键词：

Jacobi forms; Zeros; Transcendency; DIVISORS; VALUES;

D O I：

10.1007/s11139-016-9797-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A special case of a fundamental theorem of Schneider asserts that if is algebraic (where j is the classical modular invariant), then any zero z not in of the Weierstrass function attached to the lattice is transcendental. In this note we generalize this result to holomorphic Jacobi forms of weight k and index with algebraic Fourier coefficients.

引用

页码：319 / 322

页数：4

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