Positive proportion of central L-values L(1/2,χ_c) are nonzero for all fixed orders ℓ≥3 in the Kummer function field setting.
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Nonvanishing of $L$--functions associated to fixed order characters over function fields
Positive proportion of central L-values L(1/2,χ_c) are nonzero for all fixed orders ℓ≥3 in the Kummer function field setting.