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

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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