A note on the Eisenstein elements of prime square level
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- by Debargha Banerjee PDF
- Proc. Amer. Math. Soc. 142 (2014), 3675-3686 Request permission
Abstract:
We explicitly write the Eisenstein elements inside the space of modular symbols corresponding to each Eisenstein series for the congruence subgroup $\Gamma _0(p^2)$, answering a question of Merel. As a consequence, we also write the winding element explicitly for the congruence subgroup $\Gamma _0(p^2)$.References
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Additional Information
- Debargha Banerjee
- Affiliation: Mathematical Sciences Institute, Australian National University, Canberra ACT 0200, Australia
- Address at time of publication: Indian Institute of Science Education and Research, Dr. Homi Bhabha Road, Pashan, Pune 411 008, India
- MR Author ID: 925842
- Email: debargha.banerjee@gmail.com
- Received by editor(s): December 21, 2011
- Received by editor(s) in revised form: October 11, 2012, and November 15, 2012
- Published electronically: July 3, 2014
- Additional Notes: The author was partially supported by the ARC grant DP0773301.
- Communicated by: Lev Borisov
- © Copyright 2014 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 142 (2014), 3675-3686
- MSC (2010): Primary 11F67; Secondary 11F11, 11F20, 11F30
- DOI: https://doi.org/10.1090/S0002-9939-2014-12097-1
- MathSciNet review: 3251709