Topic in group theory and harmonic analysis (Niemeier lattice-mock theta connection)
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.
In mathematics, umbralmoonshine is a mysterious connection between Niemeier lattices and Ramanujan's mock theta functions. It is a generalization of the...
"prove" them Umbralmoonshine, a mysterious connection between Niemeier lattices and Ramanujan's mock theta functions Francisco Umbral (1932–2007), Spanish...
professor at the University of Amsterdam. She is known for formulating the umbralmoonshine conjectures and for her work on the connections between K3 surfaces...
In mathematics, monstrous moonshine, or moonshine theory, is the unexpected connection between the monster group M and modular functions, in particular...
in number theory, especially in integer partitions, modular forms, umbralmoonshine, the Riemann Hypothesis and the fields of interest to Srinivasa Ramanujan...
Jeffrey A. Harvey proposed a generalization of this moonshine phenomenon called umbralmoonshine, and their conjecture was proved mathematically by Duncan...
conjecture (Iwase, 1997) Erdős discrepancy problem (Terence Tao, 2015) Umbralmoonshine conjecture (John F. R. Duncan, Michael J. Griffin, Ken Ono, 2015) Anderson...
continuous spectrum. Mock theta functions appear in the theory of umbralmoonshine. Atish Dabholkar, Sameer Murthy, and Don Zagier showed that mock modular...
lattice II25,1, where the Niemeier lattice corresponding to w is w⊥/w. Umbralmoonshine Smith Minkowski Siegel mass formula#Dimension n = 24 Chenevier, Gaëtan;...
small cubicuboctahedron (which also has 24 vertices). The theory of umbralmoonshine is a partly conjectural relationship between K3 surfaces and M24. The...