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math.NT2022
The mixing conjecture under GRH
Valentin Blomer, Farrell Brumley, Ilya Khayutin
We prove the Mixing Conjecture of Michel--Venkatesh for the class group action on Heegner points of large discriminant on compact arithmetic surfaces attached to maximal orders in…
math.NT2022★ 6 cited
Theta functions, fourth moments of eigenforms, and the sup-norm problem II
Ilya Khayutin, Paul D. Nelson, Raphael S. Steiner
For an -normalized holomorphic newform of weight on a hyperbolic surface of volume attached to an Eichler order of squarefree level in an indefinite quaternion alg…