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An inequality for the Selberg zeta-function, associated to the compact Riemann surface
Analele Universitatii "Ovidius" Constanta - Seria Matematica ( IF 0.8 ) Pub Date : 2019-12-01 , DOI: 10.2478/auom-2019-0032
Igoris Belovas 1
Affiliation  

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.

中文翻译:

Selberg zeta 函数的不等式,与紧黎曼曲面相关

摘要 我们在关于线 ℛ(s) = 1/2 对称的地方考虑与紧黎曼曲面相关的 Selberg zeta 函数的绝对值。我们证明了 Selberg zeta 函数的不等式,扩展了 R. Garunkštis 和 A. Grigutis 的结果。
更新日期:2019-12-01
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