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

Manuel K. -H. Müller

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arXiv · 2602.14746

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

Manuel K. -H. Müller

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Abstract

We show that the minimal $g$ for which the degree $g$ theta series of positive-definite, unimodular even lattices of rank $m\geq24$ are linearly independent is bounded between $\frac{m}{2}$ and $\frac{3m}{4}$.

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Manuel K. -H. Müller. 2026-02-16. Linear independence of theta series of positive-definite, unimodular even lattices. https://arxiv.org/abs/2602.14746

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