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math.NT2018
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 -…
math.SP2018
Boundedness of the number of nodal domains for eigenfunctions of generic Kaluza-Klein -folds
Junehyuk Jung, Steve Zelditch
This article concerns the number of nodal domains of eigenfunctions of the Laplacian on special Riemannian -manifolds, namely nontrivial principal bundles over R…
math.NT2018
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…