On higher regulators of Siegel threefolds II: the connection to the special value
classification
🧮 math.NT
keywords
connectionfunctionsiegelspecialautomorphicclassescohomologycomputation
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We establish a connection between motivic cohomology classes over the Siegel threefold and special values of the degree four $L$-function of some cuspidal automorphic representations of $\mathrm{GSp}(4)$. Our computation relies on our previous work [Le15] and on an integral representation of the $L$-function due to Piatetski-Shapiro.
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