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- W4297899347 abstract "Borel's rank theorem identifies the ranks of algebraic $K$-groups of the ring of integers of a number field with the orders of vanishing of the Dedekind zeta function attached to the field. Following the work of Gross, we establish a version of this theorem for Artin $L$-functions by considering equivariant algebraic $K$-groups of number fields with coefficients in rational Galois representations. This construction involves twisting algebraic $K$-theory spectra with rational equivariant Moore spectra. We further discuss integral equivariant Moore spectra attached to Galois representations and their potential applications in $L$-functions." @default.
- W4297899347 created "2022-10-01" @default.
- W4297899347 creator A5032586657 @default.
- W4297899347 date "2022-09-20" @default.
- W4297899347 modified "2023-10-16" @default.
- W4297899347 title "Borel's rank theorem for Artin $L$-functions" @default.
- W4297899347 doi "https://doi.org/10.48550/arxiv.2209.10044" @default.
- W4297899347 hasPublicationYear "2022" @default.
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