F. Brunault

activity

20122026

K_{4}

group of modular curves

2 citations · 2 across the 8 of their papers we have counts for

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math.NT2026

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 $X_{1} (N)$ for an arbitrary integer $N$ . The proof relies on results of Streng on…

math.NT2026

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

François 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…

Bernoulli determinants and cuspidal subgroups

Elements in K4​ and regulator maps of Fermat curves

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