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arxiv: 1904.07121 · v1 · submitted 2019-04-15 · 🧮 math.NT

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The doubling Archimedean zeta integrals for p-adic interpolation

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classification 🧮 math.NT
keywords archimedeaninterpolationp-adicdoublingintegralszetaagreeappear
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We compute the Archimedean doubling zeta integrals which appear in the interpolation formulas for the p-adic L-functions of Siegel modular forms, and verify that they agree with the modified Archimedean Euler factors for p-adic interpolation conjectured by Coates--Perrin-Riou.

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