Florian Breuer

activity

20232025

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2 papers · 1 filter

math.NT2025

Partitions and Hecke images

Florian Breuer, Fabien Pazuki

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,…

math.NT2025

Divisibility of the coefficients of modular polynomials

Florian Breuer

Let $N > 1$ and let $Φ_{N} (X, Y) \in Z [X, Y]$ be the modular polynomial which vanishes precisely at pairs of $j$ -invariants of elliptic curves linked by a cyclic isogeny of degree…