An inequality for the Selberg zeta-function, associated to the compact Riemann surface

IF 0.8 4区数学 Q2 MATHEMATICS

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2019-12-01 DOI:10.2478/auom-2019-0032

I. Belovas

引用次数: 2

Abstract

Abstract We consider the absolute values of the Selberg zeta-function, associated to the compact Riemann surface, at places symmetric with respect to the line ℛ(s) = 1/2. We prove an inequality for the Selberg zeta-function, extending the result of R. Garunkštis and A. Grigutis.

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塞尔伯格函数的不等式，与紧致黎曼曲面有关

摘要我们考虑紧致黎曼曲面上的Selberg ζ函数在相对于直线g = 1/2对称的位置上的绝对值。我们证明了Selberg ζ函数的一个不等式，推广了R. Garunkštis和A. Grigutis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

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is founded by Mirela Stefanescu and Silviu Sburlan in 1993 and is devoted to pure and applied mathematics. Published by Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania.