Akinari Hoshi

activity

20072026

most citedRationality problem for algebraic tori

19 citations · 81 across the 44 of their papers we have counts for

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3 papers · 1 filter

math.AG2026

Rationality problem for norm one tori of tensor products of étale algebras and Hasse norm principle

Mathieu Florence, Akinari Hoshi, Aiichi Yamasaki

Let $k$ be a field. Let $A = \prod_{i = 1}^{r} K_{i}$ and $B = \prod_{j = 1}^{s} E_{j}$ be étale $k$ -algebras where $K_{i}$ and $E_{j}$ are finite separable field extensions of $k$ with $[K_{i} : k] = m_{i}$ …

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 $L_{m} = Q (α)$ be the simplest cubic field with class number $h_{m}$ and conductor $f_{m}$ where $α$ is a root of $f_m(X)=X^3-mX^…

Rationality problem for norm one tori of tensor products of étale algebras and Hasse norm principle

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

Simplest cubic fields with small class number

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