INTERLACING OF ZEROS OF EISENSTEIN SERIES

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2021-01-01 DOI:10.2206/kyushujm.75.249

Trevor Griffin, Nathan Kenshur, Abigail Price, Bradshaw Vandenberg-Daves, Hui Xue, Daozhou Zhu

引用次数: 2

Abstract

. Let E k ( z ) be the normalized Eisenstein series of weight k for the full modular group SL ( 2 , Z ) . Let a > 0 be an even integer. In this paper we completely determine when the zeros of E k interlace with the zeros of E k + a . This generalizes a result of Nozaki on the interlacing of zeros of E k and E k + 12 .

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爱森斯坦级数零的交错

．设ek (z)为全模群SL (2, z)的权k的归一化爱森斯坦级数。设b>0是一个偶数。本文完全确定了ek的零点与ek + a的零点相交的时间。这推广了Nozaki关于ek和ek + 12的零相交的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.