1 citations · 1 across the 6 of their papers we have counts for
6 papers
An Iwasawa-type asymptotic formula for multiple -coverings of graphs
Takenori Kataoka
For a possibly ramified -covering of connected graphs, we establish an Iwasawa-type asymptotic formula for the growth of the -adic valuations of the complexities…
Construction of graph coverings with prescribed Iwasawa invariants
Takenori Kataoka
For a -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 - and $…
Construction of a -extension of number fields whose unit group has prescribed Galois module structure
Takenori Kataoka, Manabu Ozaki
Let be a finite -group. We construct a -extension of number fields such that the -adic completion of the unit group of has a prescribed -mod…
Iwasawa-type asymptotic formula for Taelman class groups of Drinfeld modules
Takenori Kataoka, Yoshiaki Okumura
The Taelman class groups associated to Drinfeld modules over function fields serve as an analogue of ideal class groups of number fields. In this paper, we establish an analogue of…
Kida's formula for graphs with ramifications
Takenori Kataoka
Recently Iwasawa theory for graphs is developing. A significant achievement includes an analogue of Iwasawa class number formula, which describes the asymptotic growth of the numbe…
Kida's formula via Selmer complexes
Takenori Kataoka
In Iwasawa theory, the , -invariants of various arithmetic modules are fundamental invariants that measure the size of the modules. Concerning the minus components of the unr…