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- W4300532504 abstract "In this paper, we provide combinatorial proofs for certain partition identities which arise naturally in the context of Langlands' beyond endoscopy proposal. These partition identities motivate an explicit plethysm expansion of $mathrm{Sym}^j(mathrm{Sym}^kV)$ for $mathrm{GL}_2$ in the case $k=3$. We compute the plethysm explicitly for the cases $k=3, 4$. Moreover, we use these expansions to explicitly compute the basic function attached to the symmetric power $L$-function of $mathrm{GL}_2$ for these two cases." @default.
- W4300532504 created "2022-10-03" @default.
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- W4300532504 date "2017-06-09" @default.
- W4300532504 modified "2023-09-27" @default.
- W4300532504 title "From partition identities to a combinatorial approach to explicit Satake inversion" @default.
- W4300532504 doi "https://doi.org/10.48550/arxiv.1706.03166" @default.
- W4300532504 hasPublicationYear "2017" @default.
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