Equality of twisted local gamma factors up to GL_l identifies generic supercuspidal representations of quasi-split non-split SO_{2l} up to the outer automorphism, proved directly via partial Bessel functions.
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A local converse theorem for quasi-split even special orthogonal groups
Equality of twisted local gamma factors up to GL_l identifies generic supercuspidal representations of quasi-split non-split SO_{2l} up to the outer automorphism, proved directly via partial Bessel functions.