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Casimir effects on Riemann surfaces
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In the citing paper
“This zeta function is negative at s = -1 2 as a consequence of the Selberg trace formula (see Corollary 3.4 in [80]).”
From Casimir energy and modularity in higher-dimensional conformal field theories (2023) · cites this paper as [80]
Citations
Cites
No references could be resolved yet.
Research works printed but not linked: 12
- Blau, 1988, Zeta functions and the Casimir energy, Nuclear Physics, B310, 163, 10.1016/0550-3213(88)90059-4 · DOI
- D'Hoker, 1986, On determinants of Laplacians on Riemann surfaces, Comm. Math. Phys., 104, 537, 10.1007/BF01211063 · DOI
- Gangolli, 1968, Asymptotic behaviour of spectra of compact quotient of certain symmetric spaces, Acta Math., 121, 151, 10.1007/BF02391912 · DOI
- Gangolli, 1977, Zeta functions of Selberg's type for compact space forms of symmetric spaces of rank one, Illinois J. Math., 21, 1, 10.1215/ijm/1256049498 · DOI
- Kurokawa, 1989, Special values of Selberg zeta functions, Contemporary Math., 83, 133, 10.1090/conm/083/991979 · DOI
- Lamoreaux, 1997, Demonstration of the Casimir force in the 0.6 to 6 μm range, Phys. Rev. Lett., 78, 5, 10.1103/PhysRevLett.78.5 · DOI
- McKean, 1972, Selberg's trace formula as applied to a compact Riemann surface, Comm. Pure Appl. Math., 25, 225, 10.1002/cpa.3160250302 · DOI
- Plunien, 1986, The Casimir effect. Physics Reports, Rev. Sect. Phys. Lett., 134, 87
- Sarnak, 1987, Determinants of Laplacians, Comm. Math. Phys., 110, 113, 10.1007/BF01209019 · DOI
- Selberg, 1956, Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series, J. Indian Math. Soc. B., 20, 47
- Takhtajan, 1991, A local index theorem for families of g9-operators on punctured Riemann surfaces and a new Kähler metric on their moduli spaces, Comm. Math, Phys., 137, 399, 10.1007/BF02431886 · DOI
- Wakayama, 1985, Zeta functions of Selberg's type associated with homogeneous vector bundles, Hiroshima Math. J., 15, 235, 10.32917/hmj/1206130772 · DOI
Cited by
Casimir energy and modularity in higher-dimensional conformal field theories
Luo, C., & Wang, Y. (2023) · Journal of High Energy Physics · doi:10.1007/jhep07(2023)028 · Cited by 27
Metadata
- Authors
- Kurokawa, N., & Wakayama, M.
- Venue
- Indagationes Mathematicae
- Publisher
- Elsevier BV
- Published
- 2002-03
- Volume
- 13
- Issue
- 1
- Pages
- 63-75
- ISSN
- 0019-3577
- Cited by
- 9
- References
- 0
- Language
- en
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.