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arXiv · 1905.08779

Higher Hida theory and p-adic L-functions for GSp(4)

David Loeffler·Vincent Pilloni·Christopher Skinner·Sarah Livia Zerbes
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Abstract

We use the "higher Hida theory" recently introduced by the second author to p-adically interpolate periods of non-holomorphic automorphic forms for GSp(4), contributing to coherent cohomology of Siegel threefolds in positive degrees. We apply this new method to construct p-adic L-functions associated to the degree 4 (spin) L-function of automorphic representations of GSp(4), and the degree 8 L-function of GSp(4) x GL(2).

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David Loeffler, Vincent Pilloni, Christopher Skinner, Sarah Livia Zerbes. 2019-05-21. Higher Hida theory and p-adic L-functions for GSp(4). https://doi.org/10.1215/00127094-2021-0049

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