3 papers
math.NT2026
On a relation between Deninger's foliated dynamical systems and Connes-Consani's adelic spaces
Masanori Morishita
We give a relation between Deninger's foliated dynamical systems associated to abelian number fields and Connes-Consani's adelic spaces. It fits with the analogy between knots and…
math.NT2024
Triple symbols in arithmetic
Dohyeong Kim, Masanori Morishita
Triple symbols are arithmetic analogues of the mod triple linking number in topology, where is an integer. In this paper, we introduce a cohomological formulation of a…
math.DS2024
Regularized determinant formulas for the zeta functions of 3-dimensional Riemannian foliated dynamical systems
Jesús A. Ãlvarez López, Junhyeong Kim, Masanori Morishita
We prove a regularized determinant formula for the zeta functions of certain 3-dimensional Riemannian foliated dynamical systems, in terms of the infinitesimal operator induced by…