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arXiv · 2109.10548

The Eisenstein and winding elements of modular symbols for odd square-free level

Srilakshmi Krishnamoorthy
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Abstract

We explicitly write down the Eisenstein elements inside the space of modular symbols for Eisenstein series with integer coefficients for the congruence subgroups $\Gamma_0(N)$ with $N$ odd square-free. We also compute the winding elements explicitly for these congruence subgroups. This gives an answer to a question of Merel in these cases. Our results are explicit versions of the Manin-Drinfeld Theorem [Thm. 6]. These results are the generalization of the paper [1] results to odd square-free level.

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Srilakshmi Krishnamoorthy. 2021-09-22. The Eisenstein and winding elements of modular symbols for odd square-free level. https://arxiv.org/abs/2109.10548

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