Takenori Kataoka

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20242026

most citedKida's formula via Selmer complexes

1 citations · 1 across the 6 of their papers we have counts for

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math.NT2026

Construction of Galois modules describing ideal class groups and applications to Iwasawa theory

Takenori Kataoka

For a finite Galois extension of number fields, the ideal class groups of intermediate fields do not behave well under taking Galois coinvariants in general. In this paper, we cons…

math.CO2026

An Iwasawa-type asymptotic formula for multiple $Z_{p}$ -coverings of graphs

Takenori Kataoka

For a possibly ramified $Z_{p}^{d}$ -covering of connected graphs, we establish an Iwasawa-type asymptotic formula for the growth of the $p$ -adic valuations of the complexities…

math.CO2026

Construction of graph coverings with prescribed Iwasawa invariants

Takenori Kataoka

For a $Z_{p}$ -covering of connected graphs, an analogue of Iwasawa's class number formula describes the growth of the number of spanning trees in terms of Iwasawa $λ$ - and $…

math.NT2026

Construction of a $p$ -extension of number fields whose unit group has prescribed Galois module structure

Takenori Kataoka, Manabu Ozaki

Let $G$ be a finite $p$ -group. We construct a $G$ -extension $K / k$ of number fields such that the $p$ -adic completion of the unit group of $K$ has a prescribed $Z_{p} [G]$ -mod…

Construction of Galois modules describing ideal class groups and applications to Iwasawa theory

An Iwasawa-type asymptotic formula for multiple Zp​-coverings of graphs

Construction of graph coverings with prescribed Iwasawa invariants

Construction of a p-extension of number fields whose unit group has prescribed Galois module structure

An Iwasawa-type asymptotic formula for multiple $Z_{p}$ -coverings of graphs

Construction of a $p$ -extension of number fields whose unit group has prescribed Galois module structure