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arXiv · 2509.21603

Partitions and Hecke images

Florian Breuer·Fabien Pazuki
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Abstract

We obtain a new family of relations satisfied by the partition function. In contrast with most partition relations, these involve non-trivial roots of unity. We present two proofs, one using the fact that the discriminant modular form is a multiplicative Hecke eigenform, and one direct proof using q-series.

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Florian Breuer, Fabien Pazuki. 2025-09-25. Partitions and Hecke images. https://arxiv.org/abs/2509.21603

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