- Abstract:
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's version
- Files:
-
-
(pdf, 1020.3KB)
-
- Publisher copy:
- 10.2140/ant.2017.11.2113
-
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- Publisher:
- Mathematical Sciences Publishers Publisher's website
- Journal:
- Algebra and Number Theory Journal website
- Volume:
- 11
- Issue:
- 9
- Pages:
- 2113-2130
- Publication date:
- 2017-12-02
- Acceptance date:
- 2017-09-08
- DOI:
- EISSN:
-
1944-7833
- ISSN:
-
1937-0652
- Pubs id:
-
pubs:952692
- URN:
-
uri:aaef8f69-7e34-402a-ae89-1e2062208d25
- UUID:
-
uuid:aaef8f69-7e34-402a-ae89-1e2062208d25
- Local pid:
- pubs:952692
- Language:
- English
- Keywords:
- Copyright holder:
- Mathematical Sciences Publishers
- Copyright date:
- 2017
- Notes:
- © Copyright 2017 Mathematical Sciences Publishers. All rights reserved. This is the published version of the article. The final version is available online from Mathematical Sciences Publishers at: https://doi.org/10.2140/ant.2017.11.2113
Journal article
On the algebraic structure of iterated integrals of quasimodular forms
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