Florian Breuer

collaborators

3 papers

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.NT2024

Drinfeld modular polynomials of level $T$

Florian Breuer, Mahefason Heriniaina Razafinjatovo

We investigate Drinfeld modular polynomials parametrizing $T$ -isogenies between Drinfeld $F_{q} [T]$ -modules of rank $r \geq 2$ . By providing an explicit classification of suc…

math.NT2024

Heights of Drinfeld modular polynomials and Hecke images

Florian Breuer, Fabien Pazuki, Zhenlin Ran

We obtain explicit upper and lower bounds on the size of the coefficients of the Drinfeld modular polynomials $Φ_{N}$ for any monic $N \in F_{q} [t]$ . These polynomials vanish at…

Partitions and Hecke images

Drinfeld modular polynomials of level T

Heights of Drinfeld modular polynomials and Hecke images

Drinfeld modular polynomials of level $T$