Remarks on the Patterson–Selberg zeta function, black hole vacua and extremal CFT partition functions

Remarks on the Patterson–Selberg zeta function, black hole vacua and extremal CFT partition functions
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DOI:
10.1088/1751-8113/45/37/374008
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发表时间:
2012-09
期刊:
Journal of Physics A: Mathematical and Theoretical
影响因子:
--
通讯作者:
F. Williams
F. Williams
中科院分区:
其他
文献类型:
--
作者:
F. Williams

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我们考虑 Patterson-Selberg zeta 函数在具有负宇宙学常数的 3D 引力中的一些应用(旧的和新的)。我们还考虑二维黑洞真空及其完整的抛物线发生器。本文是《物理学杂志 A:数学与理论》特刊的一部分,以纪念斯图尔特·道克 (Stuart Dowker) 75 岁生日,专门讨论“zeta 函数和其他谱函数在数学和物理中的应用”。
We consider some applications (old and new) of the Patterson–Selberg zeta function to 3D gravity with a negative cosmological constant. We also consider 2D black hole vacua with a parabolic generator of their holonomy. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical in honour of Stuart Dowker's 75th birthday devoted to ‘Applications of zeta functions and other spectral functions in mathematics and physics’.