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math.NT2025
Orthogonality relations for Poincaré series
Sonja Žunar
Let be a connected semisimple Lie group with finite center. We prove a formula for the inner product of two cuspidal automorphic forms on that are given by Poincaré ser…
math.NT2022
On a family of Siegel Poincaré series
Sonja Žunar
Let be a congruence subgroup of . Using Poincaré series of -finite matrix coefficients of integrable discrete series representations of $ \…
math.NT2017★ 2 cited
On Poincaré series of half-integral weight
Sonja Žunar
We use Poincaré series of -finite matrix coefficients of genuine integrable representations of the metaplectic cover of to construct a spanning se…