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The doubling Archimedean zeta integrals for p-adic interpolation

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arxiv 1904.07121 v1 pith:HKFEAPQV submitted 2019-04-15 math.NT

Zheng Liu This is my paper · ORCID
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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  1. Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation

    math.NT 2019-08 conditional novelty 8.0 of 10

    For ordinary automorphic forms on unitary groups U(r,s) over totally real fields, it proves that a rank-zero Selmer group forces the central L-value to be nonzero.

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