On the algebraic structure of iterated integrals of quasimodular forms
We study the algebra IQM of iterated integrals of quasimodular forms for SL2.Z/, which is the smallest extension of the algebra QM* of quasimodular forms which is closed under integration. We prove that IQM is a polynomial algebra in infinitely many variables, given by Lyndon words on certain monomi...
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| Format: | Journal article |
| Language: | English |
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Mathematical Sciences Publishers
2017
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| Summary: | We study the algebra IQM of iterated integrals of quasimodular forms for SL2.Z/, which is the smallest extension of the algebra QM* of quasimodular forms which is closed under integration. We prove that IQM is a polynomial algebra in infinitely many variables, given by Lyndon words on certain monomials in Eisenstein series. We also prove an analogous result for the M*-subalgebra IM of IQM of iterated integrals of modular forms. |
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