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arXiv · 1409.8391

On higher regulators of Siegel threefolds II: the connection to the special value

Francesco Lemma
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Abstract

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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Francesco Lemma. 2014-09-30. On higher regulators of Siegel threefolds II: the connection to the special value. https://doi.org/10.1112/s0010437x16008320

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