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On the Artin formalism for triple product $p$-adic $L$-functions
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abstract
Our main objective in the present article is to study the factorisation problem for triple-product $p$-adic $L$-functions, particularly in the scenarios when the defining properties of the $p$-adic $L$-functions involved have no bearing on this problem, although Artin formalism would suggest such a factorisation. Our analysis, which is guided by the ETNC philosophy, recasts this problem as a comparison of diagonal cycles, Beilinson--Kato elements, and Heegner cycles.
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Cited by 1 Pith paper
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Anticyclotomic diagonal classes and Beilinson--Flach elements
Anticyclotomic diagonal cycle classes are shown to match Beilinson-Flach elements up to explicit factors for a CM weight-one Eisenstein degeneration.
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