3 papers
math.NT2022
A formal power series over a noncommutative Hecke ring and the rationality of the Hecke series for
Fumitake Hyodo
The present paper studies Hecke rings derived by the automorphism groups of certain algebras over the ring of -adic integers. Our previous work considered the case where $…
math.NT2021
Global properties of a Hecke ring associated with the Heisenberg Lie algebra
Fumitake Hyodo
This study concerns (not necessarily commutative) Hecke rings associated with certain algebras and describes a formal Dirichlet series with coefficients in the Hecke rings, which c…
math.NT2021
A note on a Hecke ring associated with the Heisenberg Lie algebra
Fumitake Hyodo
This paper focuses on the theory of the Hecke rings associated with the general linear groups originally studied by Hecke and Shimura et al., and moreover generalizes its notions t…