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math.NT2026
Moments and Non-Vanishing of Maass Form Symmetric Square L-Functions in Short Intervals
Olga Balkanova, Dmitry Frolenkov
Recently, Li obtained a mean Lindelöf estimate for the cubic moment of the central values of Maass form symmetric square -functions over short intervals of length $…
math.NT2026
Non-vanishing of symmetric square -functions in the weight aspect
Olga Balkanova, Dmitry Frolenkov
We prove a new asymptotic formula for the second moment of symmetric square L-functions in the weight aspect on average. This result implies that the associated L-function is non-v…