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math.NT2026
Intertwining periods, L-functions and local-global principles for distinction of automorphic representations
Nadir Matringe, Omer Offen, Chang Yang
We provide a criterion for non-vanishing of period integrals on automorphic representations of a general linear group over a division algebra. We consider three different periods:…
math.NT2025
Epsilon dichotomy via root numbers of intertwining periods
Nadir Matringe
We give a new proof of the epsilon dichotomy conjecture, stated by Prasad and Takloo-Bighash, for non Archimedean local fields of characteristic zero, when the twisting character i…