2 citations · 2 across the 8 of their papers we have counts for
8 papers
Bernoulli determinants and cuspidal subgroups
François Brunault
We give an explicit formula for the order of the rational cuspidal class group of the modular curve for an arbitrary integer . The proof relies on results of Streng on…
Elements in and regulator maps of Fermat curves
François Brunault, David T. -B. G. Lilienfeldt, Yusuke Nemoto
We construct explicit elements in the group of the Fermat curves for all . The construction, which is uniform in , uses polylogarithmic complexe…
of families of elliptic curves over non-Abelian cubic and quartic fields
François Brunault, Rob de Jeu, Hang Liu +1
We give two constructions of families of elliptic curves over cubic or quartic fields with three, respectively four, `integral' elements in the kernel of the tame symbol on the cur…
On the Mahler measure of
François Brunault
We prove a conjecture of Boyd and Rodriguez Villegas relating the Mahler measure of the polynomial and the value at of the -function of an elliptic curve of…
On the group of modular curves
François Brunault
We construct elements in the group of modular curves using the polylogarithmic complexes of weight 3 defined by Goncharov and De Jeu. The construction is uniform in the level…
Note on Fourier expansions at cusps
François Brunault, Michael Neururer
This was originally an appendix to our paper `Fourier expansions at cusps' [arXiv:1807.00391]. The purpose of this note is to give a proof of a theorem of Shimura on the action of…
On the modularity of endomorphism algebras
François Brunault
We use the adelic language to show that any homomorphism between Jacobians of modular curves arises from a linear combination of Hecke modular correspondences. The proof is based o…
On Zagier's conjecture for base extensions of elliptic curves
François Brunault
Let E be an elliptic curve over Q, and let F be a finite abelian extension of Q. Using Beilinson's theorem on a suitable modular curve, we prove a weak version of Zagier's conjectu…