紧化黎曼曲面上的Selberg函数是素数

IF 0.6 4区数学 Q3 MATHEMATICS

Revista De La Union Matematica Argentina Pub Date : 2021-06-04 DOI:10.33044/REVUMA.1729

R. Garunkštis

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引用次数: 0

摘要

设Z（s）是与紧致黎曼曲面相关联的Selbergζ函数。我们考虑分解Z（s）=f（h（s）），其中f和h是亚纯函数，并证明这种分解只能是平凡的。

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Selberg zeta-function associated to compact Riemann surface is prime

. Let Z ( s ) be the Selberg zeta-function associated to a compact Riemann surface. We consider decompositions Z ( s ) = f ( h ( s )), where f and h are meromorphic functions, and show that such decompositions can only be trivial.

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来源期刊

Revista De La Union Matematica Argentina MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Revista de la Unión Matemática Argentina is an open access journal, free of charge for both authors and readers. We publish original research articles in all areas of pure and applied mathematics.