Akinari Hoshi

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20242026

most citedBirational classification for algebraic tori

1 citations · 1 across the 4 of their papers we have counts for

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math.NT2026

Multiplicative $f$ -ic forms on algebraic varieties arising from Thaine's generalized Jacobi sums

Akinari Hoshi, Kazuki Kanai

We study generalized Jacobi sums, cyclotomic numbers, and $d$ -compositions in Thaine's framework, and prove new multiplicative identities extending Davenport and Hasse's lifting th…

math.NT2026

Simplest cubic fields with small class number

Akinari Hoshi, Hiroaki Iida

Let $m \in Z$ be an integer and $L_{m} = Q (I^\pm)$ be the simplest cubic field with class number $h_{m}$ and conductor $f_{m}$ where $I^\pm$ is a root of $f_m(X)=X^3-m…

math.NT2025

Hasse norm principle for metacyclic extensions with trivial Schur multiplier

Akinari Hoshi, Aiichi Yamasaki

Let $k$ be a global field, $K / k$ be a finite separable field extension and $L / k$ be the Galois closure of $K / k$ with Galois groups $G = Gal (L / k)$ and $H = Gal (L / K) ⪇ G$ .…

math.NT2024

Norm one tori and Hasse norm principle, III: Degree $16$ case

Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki

Let $k$ be a field, $T$ be an algebraic $k$ -torus, $X$ be a smooth $k$ -compactification of $T$ and $Pic X$ be the Picard group of $\overline{X}=X\times_k\overline…

math.NT2024

Hasse norm principle for $M_{11}$ and $J_{1}$ extensions

Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki

We give a necessary and sufficient condition for the Hasse norm principle for field extensions $K / k$ when the Galois groups $Gal (L / k)$ of the Galois closure $L / k$ of $K / k$ ar…

Multiplicative f-ic forms on algebraic varieties arising from Thaine's generalized Jacobi sums

Simplest cubic fields with small class number

Hasse norm principle for metacyclic extensions with trivial Schur multiplier

Norm one tori and Hasse norm principle, III: Degree 16 case

Hasse norm principle for M11​ and J1​ extensions

Multiplicative $f$ -ic forms on algebraic varieties arising from Thaine's generalized Jacobi sums

Norm one tori and Hasse norm principle, III: Degree $16$ case

Hasse norm principle for $M_{11}$ and $J_{1}$ extensions