2 problems

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Umbral shadow conjecture for McKay–Thompson series
For each Niemeier root system $X$ and each element $g\in G^X$ , let $H_g^X$ be the associated vector-valued mock modular form of weight $1/2$ , and let $S_g^X$ be a vector-valued cus…
Conjectureopenmock-modular-forms niemeier-lattices umbral-moonshinearXiv posted 2 days ago
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Montague's conjecture on the twisted construction of the Niemeier lattice with root system $D_{24}$
Let $C$ be a self-dual ternary code of length $24$ containing the all-one vector. The twisted construction associates to $C$ the unimodular neighbor … where … and…
Conjectureopenniemeier-lattices self-dual-codes unimodular-latticesarXiv posted 2 days ago

Umbral shadow conjecture for McKay–Thompson series