N. Skoruppa

most citedReduction mod

ℓ

of Theta Series of Level

ℓ^{n}

5 citations · 7 across the 4 of their papers we have counts for

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math.NT2008★ 5 cited

Reduction mod $ℓ$ of Theta Series of Level $ℓ^{n}$

Nils-Peter Skoruppa

It is proved that the theta series of an even lattice whose level is a power of a prime $ℓ$ is congruent modulo $ℓ$ to an elliptic modular form of level~1. The proof uses ari…

math.NT2007★ 2 cited

Memorandum on Dimension Formulas for Spaces of Jacobi Forms

Nils-Peter Skoruppa

We state ready to compute dimension formulas for the spaces of Jacobi cusp forms of integral weight $k$ and integral scalar index $m$ on subgroups of $\SL$.

math.NT2007

Jacobi Forms of Degree One and Weil Representations

Nils-Peter Skoruppa

We discuss the notion of Jacobi forms of degree one with matrix index, we state dimension formulas, give explicit examples, and indicate how closely their theory is connected to th…

math.NT2007

Jacobi Forms of Critical Weight and Weil Representations

Nils-Peter Skoruppa

Jacobi forms can be considered as vector valued modular forms, and Jacobi forms of critical weight correspond to vector valued modular forms of weight $\frac{1}{2}$ . Since the only mod…

Reduction mod ℓ of Theta Series of Level ℓn

Memorandum on Dimension Formulas for Spaces of Jacobi Forms

Jacobi Forms of Degree One and Weil Representations

Jacobi Forms of Critical Weight and Weil Representations

Reduction mod $ℓ$ of Theta Series of Level $ℓ^{n}$