Yusuke Nemoto

activity

20232026

collaborators

3 papers

math.NT2026

On the syntomic regulator of the Hesse cubic curves and $p$ -adic hypergeometric functions

Yusuke Nemoto

We introduce a new type of $p$ -adic hypergeometric function, which satisfies congruence relations similar to Dwork's $p$ -adic hypergeometric function. Also, we prove that the synto…

math.AG2024

Non-torsion algebraic cycles on the Jacobians of Fermat quotients

Yusuke Nemoto

We study the Abel-Jacobi image of the Ceresa cycle $W_{k, e} - W_{k, e}^{-}$ , where $W_{k, e}$ is the image of the $k$ th symmetric product of a curve $X$ with a base point $e$ on its J…

math.NT2023

$L$ -function of CM elliptic curves and generalized hypergeometric functions

Yusuke Nemoto

In this paper, we express special values of the $L$ -functions of certain CM elliptic curves which are related to Fermat curves in terms of the special values of generalized hyperge…

On the syntomic regulator of the Hesse cubic curves and p-adic hypergeometric functions

Non-torsion algebraic cycles on the Jacobians of Fermat quotients

L-function of CM elliptic curves and generalized hypergeometric functions

On the syntomic regulator of the Hesse cubic curves and $p$ -adic hypergeometric functions

$L$ -function of CM elliptic curves and generalized hypergeometric functions