4 papers
Cotype zeta functions enumerating subalgebras of -algebras
Seok Hyeong Lee, Seungjai Lee
We introduce and study subalgebra cotype zeta functions, multivariate zeta functions enumerating fixed-index subalgebras of -algebras of a given cotype. This generalizes and uni…
Zeta functions of quadratic lattices of a hyperbolic plane
Daejun Kim, Seok Hyeong Lee, Seungjai Lee
In this paper, we study the Dirichlet series that enumerates proper equivalence classes of full-rank sublattices of a given quadratic lattice in a hyperbolic plane -- that is, a no…
Zeta functions enumerating subforms of quadratic forms
Daejun Kim, Seok Hyeong Lee, Seungjai Lee
In this paper, we introduce and study the Dirichlet series enumerating (proper) equivalence classes of full rank subforms/sublattices of a given quadratic form/lattice, focusing on…
Universality lifting from a general base field
Vitezslav Kala, Daejun Kim, Seok Hyeong Lee
Given a totally real number field , we show that there are only finitely many totally real extensions of of a fixed degree that admit a universal quadratic form defined over…