p-adic families of d-th Shintani liftings
In this note we give a detailed construction of a $\Lambda$-adic $\mathfrak{d}$-th Shintani lifting. We derive a $\Lambda$-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 mi...
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Zusammenfassung: | In this note we give a detailed construction of a $\Lambda$-adic
$\mathfrak{d}$-th Shintani lifting. We derive a $\Lambda$-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 $\Lambda$-adic $\d$-th Shintani liftings and
Stark--Heegner points. |
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DOI: | 10.48550/arxiv.1912.05655 |