By Tobias Magnusson and Martin Raum

Given cusp forms *f* and *g* of integral weight *k \geq 2*, the depth two holomorphic iterated Eichler-Shimura integral *I_{f,g}* is defined by *{\int_\tau^{i\infty}f(z)(X-z)^{k-2}I_g(z;Y)\mathrm{d}z}*, where *I_g* is the Eichler integral of *g* and *X,Y* are formal variables. We provide an explicit vector-valued modular form whose top components are given by... Show more

November 25, 2023

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Scalar-valued depth two Eichler-Shimura Integrals of Cusp Forms

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