Geodesic
Two Modularity Lifting Conjectures for Families of Siegel Modular Forms
Matematičeskie zametki, Tome 88 (2010) no. 4, pp. 565-574

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For a prime $p$ and a positive integer $n$, using certain lifting procedures, we study some constructions of $p$-adic families of Siegel modular forms of genus $n$. Describing $L$-functions attached to Siegel modular forms and their analytic properties, we formulate two conjectures on the existence of the modularity liftings from $\operatorname{GSp}_{r}\times \operatorname{GSp}_{2m}$ to $\operatorname{GSp}_{r+2m}$ for some positive integers $r$ and $m$.
Keywords: $p$-adic families, Siegel modular forms, Hecke operators, Siegel–Eisenstein series, Ikeda–Miyawaki lift. 
A. A. Panchishkin. Two Modularity Lifting Conjectures for Families of Siegel Modular Forms. Matematičeskie zametki, Tome 88 (2010) no. 4, pp. 565-574. http://geodesic.mathdoc.fr/item/MZM_2010_88_4_a7/
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     title = {Two {Modularity} {Lifting} {Conjectures} for {Families} of {Siegel} {Modular} {Forms}},
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