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Exact Moments and CM Periods of Reciprocal Quadratic Mellin Integrals
We study exact moments and algebraic sampling of a reciprocal quadratic Mellin integral. A finite elementary formula determines every nonzero rational-weight first moment with specified branches. For $|b|<2\sqrt{c}$, mixed half-weight moments admit a dilogarithmic formula, and all even half-weight m
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