Scalar‐valued depth two Eichler–Shimura integrals of cusp forms

Abstract Given cusp forms f and g of integral weight k⩾2, the depth two holomorphic iterated Eichler–Shimura integral If,g is defined by ∫τi∞f(z)(X−z)k−2Ig(z;Y)dz, where Ig is the Eichler integral of g and X,Y are formal variables. We provide an explicit vector‐valued modular form whose top componen...

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Bibliographic Details
Main Authors: Tobias Magnusson, Martin Raum
Format: Article
Language:English
Published: Wiley 2023-12-01
Series:Transactions of the London Mathematical Society
Online Access:https://doi.org/10.1112/tlm3.12055