18 citations · 105 across the 29 of their papers we have counts for
28 papers · 1 filter
The density Hypothesis for irreducible lattices in
Dubi Kelmer
We prove the density hypothesis for congruence subgroups of an irreducible uniform lattice in , extending previous results on the spherical density hy…
Sign changes along geodesics of modular forms
Dubi Kelmer, Alex Kontorovich, Christopher Lutsko
Given a compact segment, , of a cuspidal geodesic on the modular surface, we study the number of sign changes of cusp forms and Eisenstein series along . We prove uncondition…
Effective density of values of indefinite ternary inhomogeneous quadratic forms
Dubi Kelmer
Given an inhomogeneous quadratic form with an indefinite -isotropic rational ternary form and irrational, we prove an effective…
Counting rational points on the sphere with bounded denominator
Dubi Kelmer
We give an optimal bound for the remainder when counting the number of rational points on the -dimensional sphere with bounded denominator for any .
Norm bounds on Eisenstein series
Dubi Kelmer, Alex Kontorovich, Christopher Lutsko
We study the sup-norm and mean-square-norm problems for Eisenstein series on certain arithmetic hyperbolic orbifolds, producing sharp exponents for the modular surface and Picard 3…
Second moment of the light-cone Siegel transform and applications
Dubi Kelmer, Shucheng Yu
We study the light-cone Siegel transform, transforming functions on the light cone of a rational indefinite quadratic form to a function on the homogenous space $\text{SO}^+_Q(…