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We compute the Archimedean doubling zeta integrals which appear in theinterpolation formulas for the p-adic L-functions of Siegel modular forms, andverify that they agree with the modified Archimedean Euler factors for p-adicinterpolation conjectured by Coates--Perrin-Riou.

The doubling Archimedean zeta integrals for p-adic interpolation