F. Brunault

works on

bernoulli polynomials 1 cuspidal class groups 1 determinant formulas 1 modular curves 1 modular units 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.NT2026

Bernoulli determinants and cuspidal subgroups

FranÃ§ois Brunault

The paper derives an explicit formula for the size of the rational cuspidal class group of the modular curve X₁(N) using a determinant involving the second Bernoulli polynomial, an…

math.NT2026

Elements in $K_{4}$ and regulator maps of Fermat curves

FranÃ§ois Brunault, David T. -B. G. Lilienfeldt, Yusuke Nemoto

We construct explicit elements in the group $K_{4}^{(3)}$ of the Fermat curves $x^{N} + y^{N} = 1$ for all $N \geq 3$ . The construction, which is uniform in $N$ , uses polylogarithmic complexe…

math.NT2025

On the $K_{4}$ group of modular curves

FranÃ§ois Brunault

We construct elements in the $K_{4}$ group of modular curves using the polylogarithmic complexes of weight 3 defined by Goncharov and De Jeu. The construction is uniform in the level…

Bernoulli determinants and cuspidal subgroups

Elements in K4​ and regulator maps of Fermat curves

On the K4​ group of modular curves

Elements in $K_{4}$ and regulator maps of Fermat curves

On the $K_{4}$ group of modular curves