From the 1 of 6 linked papers with an AI index.
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Spectral fourth moments of Hecke--Maaà cusp forms
Edgar Assing, Peter Humphries
The paper proves near‑optimal bounds for the fourth spectral moment of Hecke–Maaß cusp forms evaluated at Heegner points and uses these bounds for shifted convolution sums involvin…
A density theorem for Borel-Type Congruence subgroups and arithmetic applications
Edgar Assing
We use a (pre)-Kuznetsov type formula to prove a density result for the Borel-type congruence subgroup of GLn. This has some arithmetic applications to optimal lifting and counting…
Unipotent mixing for general moduli
Edgar Assing
In this note we prove a joint equidistribution result for discrete low lying horocycles. This generalizes previous work of Blomer and Michel, where it was crucially assumed that th…
Isogenies of CM Elliptic Curves
Edgar Assing, Yingkun Li, Tian Wang +1
Given two CM elliptic curves over a number field and a natural number , we establish a polynomial lower bound (in terms of ) for the number of rational primes such that t…
New bounds for fundamental Fourier coefficients of Siegel modular forms
Edgar Assing
We prove new bounds for the Fourier coefficients of Jacobi forms using a method of Iwaniec. In view of the Fourier-Jacobi expansion of degree two Siegel modular forms, we can use t…
A note on Sarnak's density hypothesis for
Edgar Assing
In this note we prove Sarnak's (spherical) density hypothesis for the full discrete spectrum of the quotients , where $Î_{…