Modular covariance, PCT, spin and statistics
Daniele Guido (1995)
Annales de l'I.H.P. Physique théorique
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Daniele Guido (1995)
Annales de l'I.H.P. Physique théorique
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H. J. Borchers (1995)
Annales de l'I.H.P. Physique théorique
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Bertozzini, Paolo, Conti, Roberto, Lewkeeratiyutkul, Wicharn (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Stephen J. Summers (1996)
Annales de l'I.H.P. Physique théorique
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D. Choi (2006)
Acta Arithmetica
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Hidegoro Nakano (1968)
Studia Mathematica
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(2013)
Acta Arithmetica
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The classical modular equations involve bivariate polynomials that can be seen to be univariate in the modular invariant j with integer coefficients. Kiepert found modular equations relating some η-quotients and the Weber functions γ₂ and γ₃. In the present work, we extend this idea to double η-quotients and characterize all the parameters leading to this kind of equation. We give some properties of these equations, explain how to compute them and give numerical examples.
Elaine Beltaos (2013)
Publications de l'Institut Mathématique
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Heima Hayashi (2006)
Acta Arithmetica
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Longo, Roberto (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Besser, Amnon (1997)
Documenta Mathematica
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Nobuhiko Ishida, Noburo Ishii (2002)
Acta Arithmetica
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