2021/09/22 by Krishnamoorthy, Srilakshmi
#FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2109.10548
We explicitly write down the Eisenstein elements inside the space of modular symbols for Eisenstein series with integer coefficients for the congruence subgroups Γ0(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.