Pullbacks of Saito-Kurokawa Lifts and a Central Value Formula for Degree 6 -Series
Aprameyo Pal
Fakultät für Mathematik, Universität Duisburg-Essen, Essen, GermanyCarlos de Vera-Piquero
Facultat de Matemàtiques i Informàtica, Universitat de Barcelona, Spain
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Abstract
We prove an explicit central value formula for a family of complex -series of degree 6 for which arise as factors of certain Garret-Rankin triple product -series associated with modular forms. Our result generalizes a previous formula of Ichino involving Saito-Kurokawa lifts, and as an application we prove Deligne's conjecture stating the algebraicity of the central values of the considered -series up to the relevant periods.
Cite this article
Aprameyo Pal, Carlos de Vera-Piquero, Pullbacks of Saito-Kurokawa Lifts and a Central Value Formula for Degree 6 -Series. Doc. Math. 24 (2019), pp. 1935–2036
DOI 10.4171/DM/719