A construction of $p$-adic Asai $L$-functions for ${\rm GL}_2$ over CM fields

DOI10.1007/S00229-021-01341-3arXiv1912.07251MaRDI QIDQ6331174

Kenichi Namikawa

Publication date: 16 December 2019

Abstract: We give a construction of $p$-adic Asai $L$-functions for cohomological cuspidal automorphic representations of ${mGL}_2$ over CM fields. If the base field is imaginary quadratic, Loeffler-Williams recently constructed the $p$-adic Asai $L$-functions. We generalize their construction to the case that the base fields are general CM fields.

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Iwasawa theory (11R23) Cohomology of arithmetic groups (11F75)

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