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A parallelogram height inequality for Drinfeld modules
Liam Baker, Richard Griffon, Fabien Pazuki
We prove an inequality relating the Taguchi heights of four Drinfeld modules arranged in a ``parallelogram of isogenies''. This inequality is the analogue for Drinfeld modules of t…
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,…
Variation of height in an isogeny class over a function field
Richard Griffon, Samuel Le Fourn, Fabien Pazuki
We give optimal estimates on the variation of the differential and modular heights within an isogeny class of abelian varieties defined over the function field of a curve (in any c…
On Diophantine properties for values of Dedekind zeta functions
Jerson Caro, Fabien Pazuki, Riccardo Pengo
We study the Northcott and Bogomolov property for special values of Dedekind -functions at real values . We prove, in particular, that the Bogomolov property is…