p-adic families of d-th Shintani liftings

In this note we give a detailed construction of a $Λ$-adic $\mathfrak{d}$-th Shintani lifting. We derive a $Λ$-adic version of Kohnen's formula relating Fourier coefficients of half-integral weight modular forms and special values of twisted L-series. As a by-product, we derive a mild generalization of such classical formulae, and also point out a relation between Fourier coefficients of $Λ$-adic $\d$-th Shintani liftings and Stark--Heegner points.

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