6 papers
Lower order terms in the shape of cubic fields
Robert Hough, Eun Hye Lee
We demonstrate equidistribution of the lattice shape of cubic fields when ordered by discriminant, giving an estimate in the Eisenstein series spectrum with a lower order main term…
Subconvexity of twisted Shintani zeta functions
Robert Hough, Eun Hye Lee
Previously the authors proved subconvexity of Shintani's zeta function enumerating class numbers of binary cubic forms. Here we return to prove subconvexity of the Maass form twist…
Subconvexity of Shintani's zeta function
Robert Hough, Eun Hye Lee
Enumerating integral orbits in prehomogeneous vector spaces plays an important role in arithmetic statistics. We describe a method of proving subconvexity of the zeta function enum…
Eisenstein series twisted Shintani zeta function
Robert Hough, Eun Hye Lee
We introduce the zeta function of the prehomogenous vector space of binary cubic forms, twisted by the real analytic Eisenstein series. We prove the meromorphic continuation of thi…
On certain multiple Dirichlet series
Eun Hye Lee, Ramin Takloo-Bighash
In this paper we study the analytic properties of a multiple Dirichlet series associated to the prehomogeneous vector space of binary cubic forms.
Periodicity of Multidimensional Continued Fractions
Eun Hye Lee
It is known that the continued fraction expansion of a real number is periodic if and only if the number is a quadratic irrational. In an attempt to generalize this phenomenon to o…