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For pure gravity in AdS_3, Witten has given a recipe for the construction of holomorphically factorizable partition functions of pure gravity theories with central charge c=24k.
Hans Petersson, “Über die Entwicklungskoeffizienten der automorphen Formen,” Acta Mathematica
1932
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Hans Rademacher, “The Fourier Coefficients of the Modular Invariant j ( τ ) j(\tau) ,” American Journal of Mathematics
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Hans Rademacher, “The Fourier Coefficients and the Functional Equation of the Absolute Modular Invariant j ( τ ) j(\tau) ,” American Journal of Mathematics
1939
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Modular Functions and Dirichlet Series in Number Theory
T. M. Apostol, · 1976
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Notices of the Amer. Math. Soc
I. Knopp, Marvin, “Rademacher on j ( τ ) j(\tau) , Poincaré series of Nonpositive Weights and the Eichler Cohomology,” · 1990
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Some applications of modular forms
Peter Sarnak, · 1990
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E. Witten, “Three-Dimensional Gravity Revisited,” arXiv:0706.3359 [hep-th]
Cited in the paper.
R. Dijkgraaf, J. M. Maldacena, G. W. Moore and E. P. Verlinde, “A black hole farey tail,” arXiv:hep-th/0005003
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D. Gaiotto, A. Strominger and X. Yin, “The M5-brane elliptic genus: Modularity and BPS states,” arXiv:hep-th/0607010
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F. Denef and G. W. Moore, “Split states, entropy enigmas, holes and halos,” arXiv:hep-th/0702146
Cited in the paper.
J. M. Maldacena and A. Strominger, “AdS(3) black holes and a stringy exclusion principle,” JHEP 9812
1998
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J. de Boer, M. C. N. Cheng, R. Dijkgraaf, J. Manschot and E. Verlinde, “A farey tail for attractor black holes,” JHEP 0611
2006
Later among the works it cites.
P. Kraus and F. Larsen, “Partition functions and elliptic genera from supergravity,” JHEP 0701
2007
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