A new lower bound m(σ) ≥ 17/(26-28σ) holds for the supremum of m such that the m-th moment integral of |L(σ+it, sym²f)| grows at most like T^{1+ε} when 5/8 ≤ σ ≤ 52/73.
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Higher moments of the symmetric square $L$-function off the critical line
A new lower bound m(σ) ≥ 17/(26-28σ) holds for the supremum of m such that the m-th moment integral of |L(σ+it, sym²f)| grows at most like T^{1+ε} when 5/8 ≤ σ ≤ 52/73.