3 papers
math.NT2023
Semi-galois Categories IV: A deformed reciprocity law for Siegel modular functions
Takeo Uramoto
This paper is a sequel to our previous work, where we proved the ``modularity theorem'' for algebraic Witt vectors over imaginary quadratic fields. This theorem states that, in the…
math.NT2020
Semi-galois Categories III: Witt vectors by deformations of modular functions
Takeo Uramoto
Based on our previous work on an arithmetic analogue of Christol's theorem, this paper studies in more detail the structure of the lambda-ring $E_K = K \otimes W_{O_K}^a (O_{\bar{K…
math.NT2017
Semi-galois Categories II: An arithmetic analogue of Christol's theorem
Takeo Uramoto
In connection with our previous work on semi-galois categories, this paper proves an arithmetic analogue of Christol's theorem concerning an automata-theoretic characterization of…