Toric Periods and 𝑝-adic Families of Modular Forms of Half-Integral Weight

Forms of half-integer weight; nonholomorphic modular forms (11F37) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Modular and automorphic functions (11F03) Theta series; Weil representation; theta correspondences (11F27) (p)-adic theory, local fields (11F85)

Cites Work

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On a generalization of Gross's formula
Explicit Gross-Zagier and Waldspurger formulae
Some remarks on metaplectic cusp forms and the correspondences of Shimura and Waldspurger
Fourier coefficients and modular forms of half-integral weight
Eisenstein series on the metaplectic group and nonvanishing theorems for automorphic L-functions and their derivatives
Heegner points and derivatives of $L$-series
Modular forms in characteristic $\ell$ and special values of their $L$-functions
Automorphic forms on covering groups of GL(2)
Sur les coefficients de Fourier des formes modulaires de poids demi-entier
Test vectors for linear forms
Shimura and Shintani correspondences
On cohomology groups attached to towers of algebraic curves
Residually reducible representations and modular forms
Generalized Heegner cycles and $p$-adic Rankin $L$-series. With an appendix by Brian Conrad
Canonical periods and congruence formulae
The weight in a Serre-type conjecture for tame $n$-dimensional Galois representations
$p$-adic $L$-functions and $p$-adic periods of modular forms
Central value of automorphic $L$-functions
Test vectors and central $L$-values for $\mathrm{GL}(2)$
$p$-adic interpolation of square roots of central $L$-values of modular forms
$PGL_ 2$ over the p-adics: its representations, spherical functions, and Fourier analysis
On some results of Atkin and Lehner
The restriction of a representation of GL$_2(k)$ to GL$_0(0)$
On modular forms of half integral weight
Multiplicity formula for restriction of representations of $\widetilde {GL_{2}}(F)$ to $\widetilde {SL_{2}}(F)$
Control theorems for Selmer groups of nearly ordinary deformations
Waldspurger's period integral for newforms
Stark–Heegner points and the Shimura correspondence
Complex Representations of 𝐺𝐿(2,𝐾) for Finite Fields 𝐾
Local Orders, Root Numbers, and Modular Curves
Newforms of half-integral weight.
On construction of holomorphic cusp forms of half integral weight
On Λ-adic forms of half integral weight for SL(2)/ℚ
On the p-adic Eichler-Shimura isomorphism for Λ-adic cusp forms.
Correspondances de Shimura et quaternions
On the two-variable Iwasawa main conjecture
Central L-Values and Toric Periods for GL(2)
Modular Forms

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