Computing isogeny covariant differential modular forms
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- by Chris Hurlburt PDF
- Math. Comp. 74 (2005), 905-926 Request permission
Abstract:
We present the computation modulo $p^2$ and explicit formulas for the unique isogeny covariant differential modular form of order one and weight $\chi _{-p-1,-p}$ called $f_{\mathrm {jet}}$, an isogeny covariant differential modular form of order two and weight $\chi _{-p^2-p,-1,-1}$ denoted by $f_{\mathrm {jet}}h_{\mathrm {jet}}$, and an isogeny covariant differential modular form $h_{\mathrm {jet}}$ of order two and weight $\chi _{1-p^2,0,-1}$.References
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Additional Information
- Chris Hurlburt
- Affiliation: Department of Mathematics, Northern Illinois University, DeKalb, Illinois 60115
- Email: hurlburt@math.niu.edu
- Received by editor(s): January 14, 2004
- Received by editor(s) in revised form: April 16, 2004
- Published electronically: October 29, 2004
- Additional Notes: This research was supported in part by NSA grant MDA904-03-1-0031
- © Copyright 2004 American Mathematical Society
- Journal: Math. Comp. 74 (2005), 905-926
- MSC (2000): Primary 11F11; Secondary 12H05
- DOI: https://doi.org/10.1090/S0025-5718-04-01721-1
- MathSciNet review: 2114654