13 citations · 40 across the 18 of their papers we have counts for
22 papers
Explicit bounds on the coefficients of modular polynomials for the elliptic -invariant
Florian Breuer, Fabien Pazuki
We obtain an explicit upper bound on the size of the coefficients of the elliptic modular polynomials for any . These polynomials vanish at pairs of -invariants of…
Multiplicative orders of Gauss periods and the arithmetic of real quadratic fields
Florian Breuer
We obtain divisibility conditions on the multiplicative orders of elements of the form in a finite field by exploiting a link to the arithmetic of real quadratic fields…
The generic monodromy of Drinfeld modular varieties in special characteristic
Gebhard Böckle, Florian Breuer
By combining theorems of Drinfeld and Strauch, we show that the monodromy representation on the special fibre of a Drinfeld modular variety, with level not divisible by the charact…
Lower bounds for periods of Ducci sequences
Florian Breuer, Igor E. Shparlinski
A Ducci sequence is a sequence of integer -tuples obtained by iterating the map \[ D : (a_1, a_2, \ldots, a_n) \mapsto \big(|a_1-a_2|,|a_2-a_3|,\ldots,|a_n-a_1|\big). \] Such a…
Heights and isogenies of Drinfeld modules
Florian Breuer, Fabien Pazuki, Mahefason Heriniaina Razafinjatovo
We provide explicit bounds on the difference of heights of isogenous Drinfeld modules. We derive a finiteness result in isogeny classes. In the rank 2 case, we also obtain an expli…
Drinfeld modular forms of arbitrary rank, Part III: Examples
Dirk Basson, Florian Breuer, Richard Pink
This is the third part of a series of articles providing a foundation for the theory of Drinfeld modular forms of arbitrary rank. In the present article we construct and study some…