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arXiv · 1912.07251

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

Kenichi Namikawa
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Abstract

We give a construction of $p$-adic Asai $L$-functions for cohomological cuspidal automorphic representations of ${\rm GL}_2$ 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.

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Kenichi Namikawa. 2019-12-16. A construction of $p$-adic Asai $L$-functions for ${\rm GL}_2$ over CM fields. https://arxiv.org/abs/1912.07251

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