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Umbral moonshine information


In mathematics, umbral moonshine is a mysterious connection between Niemeier lattices and Ramanujan's mock theta functions. It is a generalization of the Mathieu moonshine phenomenon connecting representations of the Mathieu group M24 with K3 surfaces.

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Umbral moonshine

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In mathematics, umbral moonshine is a mysterious connection between Niemeier lattices and Ramanujan's mock theta functions. It is a generalization of the...

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Umbral

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"prove" them Umbral moonshine, a mysterious connection between Niemeier lattices and Ramanujan's mock theta functions Francisco Umbral (1932–2007), Spanish...

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Miranda Cheng

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professor at the University of Amsterdam. She is known for formulating the umbral moonshine conjectures and for her work on the connections between K3 surfaces...

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Monstrous moonshine

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In mathematics, monstrous moonshine, or moonshine theory, is the unexpected connection between the monster group M and modular functions, in particular...

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Ken Ono

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in number theory, especially in integer partitions, modular forms, umbral moonshine, the Riemann Hypothesis and the fields of interest to Srinivasa Ramanujan...

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String theory

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Jeffrey A. Harvey proposed a generalization of this moonshine phenomenon called umbral moonshine, and their conjecture was proved mathematically by Duncan...

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List of unsolved problems in mathematics

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conjecture (Iwase, 1997) Erdős discrepancy problem (Terence Tao, 2015) Umbral moonshine conjecture (John F. R. Duncan, Michael J. Griffin, Ken Ono, 2015) Anderson...

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Mock modular form

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continuous spectrum. Mock theta functions appear in the theory of umbral moonshine. Atish Dabholkar, Sameer Murthy, and Don Zagier showed that mock modular...

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Niemeier lattice

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lattice II25,1, where the Niemeier lattice corresponding to w is w⊥/w. Umbral moonshine Smith Minkowski Siegel mass formula#Dimension n = 24 Chenevier, Gaëtan;...

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List of women in mathematics

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Taiwanese-Dutch mathematician and theoretical physicist, formulated umbral moonshine Yingda Cheng (born 1983), Chinese-American applied mathematician, expert...

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Mathieu group M24

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small cubicuboctahedron (which also has 24 vertices). The theory of umbral moonshine is a partly conjectural relationship between K3 surfaces and M24. The...

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