爱森斯坦级数的一个stieltjes零点分离性质

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2022-01-01 DOI:10.2206/kyushujm.76.407

William Frendreiss, Jennifer Gao, Austin Lei, A. Woodall, Hui Xue, Daozhou Zhu

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引用次数: 1

摘要

．对于k < (cid:96)，设ek (z)和E (cid:96) (z)分别为权k和权(cid:96)的Eisenstein级数，对于SL 2 (z)。证明了在π/ 2 < θ < 2 π/ 3区间上，在任意两个0之间存在一个0 E (cid:96) (E i θ)。

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A STIELTJES SEPARATION PROPERTY OF ZEROS OF EISENSTEIN SERIES

. For k < (cid:96) , let E k ( z ) and E (cid:96) ( z ) be Eisenstein series of weights k and (cid:96) , respectively, for SL 2 ( Z ) . We prove that between any two zeros of E k ( e i θ ) there is a zero of E (cid:96) ( e i θ ) on the interval π/ 2 < θ < 2 π/ 3.

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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.