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

Srilakshmi Krishnamoorthy ()
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Srilakshmi Krishnamoorthy: Indian Institute of Science Education and Research

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 3, 713-724

Abstract: Abstract We explicitly write down the Eisenstein elements inside the space of modular symbols for Eisenstein series with integer coefficients for the congruence subgroups $$\Gamma _0(N)$$ Γ 0 ( N ) with N odd square-free. We also compute the winding elements explicitly for these congruence subgroups. 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.

Keywords: Eisenstein series; Modular symbols; Special values of L-functions; Primary: 11F67; Secondary: 11F11; 11F20; 11F30 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00289-8

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