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arXiv · 1504.03831

The Eisenstein elements of modular symbols for level product of two distinct odd primes

Srilakshmi Krishnamoorthy·Debargha Banerjee
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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 Γ_0 (pq) with p and q distinct odd primes, giving an answer to a question of Merel in these cases. We also compute the winding elements explicitly for these congruence subgroups. Our results are explicit versions of the Manin-Drinfeld Theorem.

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Srilakshmi Krishnamoorthy, Debargha Banerjee. 2015-06-26. The Eisenstein elements of modular symbols for level product of two distinct odd primes. https://doi.org/10.2140/pjm.2016.281.257

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