Yusuke Nemoto

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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…

math.NT2025

Regulators on some abelian coverings of $P^{1}$ minus $n + 2$ points

Yusuke Nemoto, Takuya Yamauchi

In this paper, we construct certain rational or integral elements in the motivic cohomology of superelliptic curves which are quotient curves of abelian coverings of $P^{1}$ …

math.NT2025

Mixed motives and linear forms in the Catalan constant

Payman Eskandari, Kumar Murty, Yusuke Nemoto

We first give a geometric construction of a 2-dimensional mixed motive over $Q$ with the Catalan constant $G = 1 - 1/ 3^{2} + 1/ 5^{2} - 1/ 7^{2} + \dots$ as a period. We then use…

Elements in K4​ and regulator maps of Fermat curves

Regulators on some abelian coverings of P1 minus n+2 points

Mixed motives and linear forms in the Catalan constant

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

Regulators on some abelian coverings of $P^{1}$ minus $n + 2$ points