Algebra & Number Theory
- Algebra Number Theory
- Volume 11, Number 9 (2017), 2113-2130.
On the algebraic structure of iterated integrals of quasimodular forms
We study the algebra of iterated integrals of quasimodular forms for , which is the smallest extension of the algebra of quasimodular forms which is closed under integration. We prove that 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 -subalgebra of of iterated integrals of modular forms.
Algebra Number Theory, Volume 11, Number 9 (2017), 2113-2130.
Received: 8 November 2016
Revised: 15 June 2017
Accepted: 8 September 2017
First available in Project Euclid: 20 December 2017
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Matthes, Nils. On the algebraic structure of iterated integrals of quasimodular forms. Algebra Number Theory 11 (2017), no. 9, 2113--2130. doi:10.2140/ant.2017.11.2113. https://projecteuclid.org/euclid.ant/1513730348