A. Corbett

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20182022

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math.NT2020

Voronoï summation for half-integral weight automorphic forms

Edgar Assing, Andrew Corbett

A general Voronoï summation formula for the (metaplectic) double cover of $GL_{2}$ is derived via the representation theoretic framework à la Ichino--Templier. The identity is…

math.NT2019

A symplectic restriction problem

Valentin Blomer, Andrew Corbett

We investigate the norm of a degree 2 Siegel modular form of asymptotically large weight whose argument is restricted to the 3-dimensional subspace of its imaginary part. On averag…

math.NT2019

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 $N$ at the various cusps of $Γ_{0}(N)\bs\Hb$. We explain how to compute these coefficie…

math.NT2018

Voronoi summation for $GL_{n}$ : collusion between level and modulus

Andrew Corbett

We investigate the Voronoi summation problem for $GL_{n}$ in the level aspect for $n \geq 2$ . Of particular interest are those primes at which the level and modulus are jointly…

Voronoï summation for half-integral weight automorphic forms

A symplectic restriction problem

Voronoï summation via switching cusps

Voronoi summation for GLn​: collusion between level and modulus

Voronoi summation for $GL_{n}$ : collusion between level and modulus