The second moment of the symmetric square $L$-functions

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Non‐vanishing of the symmetric square L‐function at the central point (2008, background): “r ℑ e(−1/8) X d|r2 1 √ d 1 X c,n,m≥1 φ(c2) c2 1 nm W( n K , md1 d2 K , K2c2 2 8πnmr ) (3.24) . The point here is the ‘completion of the square’ which we saw in (3.7). This feature also appears in [5] and [7]. Note that the condition r ≤ K1−ǫ of Lemma 3.3 is the real limitation to the length of our”