The study constructs a p-adic L-function for Hida families and proves an interpolation formula, suggesting new insights in number theory.
We construct a four-variable p -adic L -function for cuspidal Hida families on GSp ( 4 ) × GL ( 2 ) and prove a complete interpolation formula for it. The Archimedean zeta integrals are computed by using a partial interpolation formula for the four-variable p -adic L -function, combined with Yoshida lifts and some previously constructed p -adic L -functions—specifically Kubota–Leopoldt p -adic L -functions, Rankin–Selberg p -adic L -functions, and p -adic (standard) L -functions for Sp ( 4 ) .
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Zheng Liu (2026) studied this question.
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