Co-period integrals of GL(2) forms with two cubic exceptional theta series are locally one-dimensional, and an explicit unramified identity matches them to the central symmetric cube L-factor ratio.
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Co-periods and central symmetric cube L-values
Co-period integrals of GL(2) forms with two cubic exceptional theta series are locally one-dimensional, and an explicit unramified identity matches them to the central symmetric cube L-factor ratio.