On Zeros of Certain Cusp Forms of Integral Weight for Full Modular Group

被引：0

作者：

Manickam, Murugesan ^{[1
]}

Sandeep, E. M. ^{[1
]}

机构：

[1] Kerala Sch Math, Kozhikode 673571, Kerala, India

来源：

GEOMETRY, ALGEBRA, NUMBER THEORY, AND THEIR INFORMATION TECHNOLOGY APPLICATIONS | 2018年 / 251卷

关键词：

Cusp forms; Zeros; Integral weight; Full modular group;

D O I：

10.1007/978-3-319-97379-1_12

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the cusp form Sigma' (c(1)z + d(1))(-(k-sigma)) (c(2)z + d(2))(-sigma) of weight k >= 280 for the full modular group, where the sum is taken over the nonzero pairs of integers (c(j), d(j)) for j = 1, 2 with c(2)d(1) not equal c(1)d(2), and 55/4 < sigma < k/20, has at least left perpendicular k-2 sigma/6 sigma right perpendicular - 2 zeros on the arc A = {e(i theta) vertical bar pi/2 < theta < 2 pi/3}.

引用

页码：267 / 271

页数：5

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