M. Muller

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20242026

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math.NT2026

Linear independence of theta series of positive-definite, unimodular even lattices

Manuel K. -H. MÃ¼ller

We show that the minimal $g$ for which the degree $g$ theta series of positive-definite, unimodular even lattices of rank $m \geq 24$ are linearly independent is bounded between $\fr…

math.NT2024

The invariants of the Weil representation of $SL_{2} (Z)$

Manuel K. -H. MÃ¼ller, Nils R. Scheithauer

The transformation behaviour of the vector valued theta function of a positive-definite even lattice under the metaplectic group $Mp_{2} (Z)$ is described by the Wei…

math.NT2024

The basis problem for modular forms for the Weil representation

Manuel K. -H. MÃ¼ller

The vector valued theta series of a positive-definite even lattice is a modular form for the Weil representation of $SL_{2} (Z)$ . We show that the space of cusp form…

math.NT2024

Modular forms for the Weil representation induced from isotropic subgroups

Manuel K. -H. MÃ¼ller

For an isotropic subgroup $H$ of a discriminant form $D$ there exists a lift from modular forms for the Weil representation of the discriminant form $H^{⊥} / H$ to modular forms for…

Linear independence of theta series of positive-definite, unimodular even lattices

The invariants of the Weil representation of SL2​(Z)

The basis problem for modular forms for the Weil representation

Modular forms for the Weil representation induced from isotropic subgroups

The invariants of the Weil representation of $SL_{2} (Z)$