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P-adic Rankin-Selberg L-functions in universal deformation families and functional equations

P-adic Rankin-Selberg L-functions in universal deformation families and functional equations

We construct a $p$-adic Rankin-Selberg $L$-function associated to the product of two families of modular forms, where the first is an ordinary (Hida) family, and the second an arbitrary universal-deformation family (without any ordinarity condition at $p$). This gives a function on a 4-dimensional base space - strictly larger than …