8 citations · 20 across the 12 of their papers we have counts for
10 papers · 1 filter
Linnik problem for Maass--Hecke cuspforms and effective multiplicity one theorem
Junehyuk Jung, Min Lee
We investigate two related problems concerning the dimension of joint eigenspaces of the Laplace--Beltrami operator and a finite set of Hecke operators on $\mathbb{X}=\mathrm{PGL}_…
Non-vanishing of symmetric cube -functions
Jeff Hoffstein, Junehyuk Jung, Min Lee
We prove that there are infinitely many Maass--Hecke cuspforms over the field such that the corresponding symmetric cube -series does not vanish at the c…
Intersecting geodesics on the modular surface
Junehyuk Jung, Naser Talebizadeh Sardari
We introduce the \textit{modular intersection kernel}, and we use it to study how geodesics intersect on the full modular surface $\mathbb{X}=PSL_2\left(\mathbb{Z}\right) \backslas…
Embedding closed totally geodesic surfaces in Bianchi orbifolds
Junehyuk Jung, Alan W. Reid
We study embedding of closed totally geodesic hyperbolic 2-orbifolds in the Bianchi orbifolds . Our main result shows that there is a constant $c…
Asymptotic trace formula for the Hecke operators
Junehyuk Jung, Simon Marshall, Naser T. Sardari
Given integers , and , we give an explicit formula with an optimal error term (with square root cancelation) for the Petersson trace formula involving the -th and -…
On the growth of the number of totally geodesic surfaces in some hyperbolic -manifolds
Junehyuk Jung
Let be a positive square-free integer such that there is no invariant of the ideal class group which is divisible by $4…
Sign changes of the Eisenstein series on the critical line
Junehyuk Jung, Matthew P. Young
We prove a quantitative lower bound on the number of nodal domains of the real-analytic Eisenstein series. The main tool in the proof is a quantitative restricted QUE theorem where…
Quantitative quantum ergodicity and the nodal domains of Maass-Hecke cusp forms
Junehyuk Jung
We prove a quantitative statement of the quantum ergodicity for Hecke--Maass cusp forms on the modular surface. As an application of our result, along a density subsequence of…
On sparsity of positive-definite automorphic forms within a family
Junehyuk Jung
It is known due to Baker and Montgomery that almost all Fekete polynomials under certain ordering have at least one zero on the interval (0, 1). In terms of the positive-definitene…
Pretentiously detecting power cancellation
Junehyuk Jung, Robert J. Lemke Oliver
Granville and Soundararajan have recently introduced the notion of pretentiousness in the study of multiplicative functions of modulus bounded by 1, essentially the idea that two f…