3 citations · 5 across the 2 of their papers we have counts for
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Voronoï summation for half-integral weight automorphic forms
Edgar Assing, Andrew Corbett
A general Voronoï summation formula for the (metaplectic) double cover of is derived via the representation theoretic framework à la Ichino--Templier. The identity is…
Uniform Titchmarsh divisor problems
Edgar Assing, Valentin Blomer, Junxian Li
Asymptotic formulae for Titchmarsh-type divisor sums are obtained with strong error terms that are uniform in the shift parameter. This applies to more general arithmetic functions…
Voronoï summation via switching cusps
Edgar Assing, Andrew Corbett
We consider the Fourier expansion of a Hecke (resp.\ Hecke--Maaß) cusp form of general level at the various cusps of $Γ_{0}(N)\bs\Hb$. We explain how to compute these coefficie…
Adelic Voronoi Summation and Subconvexity for GL(2) L-Functions in the depth Aspect
Edgar Assing
In this paper we establish a very flexible and explicit Voronoi summation formula. This is then used to prove an almost Weyl strength subconvexity result for automorphic -functi…
On sup-norm bounds part I: ramified Maaß newforms over number fields
Edgar Assing
We prove new upper bounds for the sup-norm of Hecke Maaß newforms on over a number field. Our newforms are more general than those considered in a recent paper by Blomer, H…