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# A note on $p$-adic Rankin-Selberg $L$-functions

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Published:2017-09-14

• David Loeffler,
Mathematics Institute, Zeeman Building, University of Warwick, Coventry CV4 7AL, UK
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## Abstract

We prove an interpolation formula for the values of certain $p$-adic Rankin-Selberg $L$-functions associated to non-ordinary modular forms.
 Keywords: $p$-adic $L$-function, Iwasawa theory
 MSC Classifications: 11F85 - $p$-adic theory, local fields [See also 14G20, 22E50] 11F67 - Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols 11G40 - $L$-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture [See also 14G10] 14G35 - Modular and Shimura varieties [See also 11F41, 11F46, 11G18]

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