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Orthogonal Systems of Modular Forms and Supersingular Polynomials
Karlstad University, Faculty of Technology and Science, Department of Mathematics.
2011 (English)In: International Journal of Number Theory, ISSN 1793-0421, Vol. 7, no 1, 249-259 p.Article in journal (Refereed) Published
Abstract [en]

We extend a construction of Kaneko and Zagier to obtain modular forms which, modulo a prime, vanish at the supersingular points. These modular forms arise simultaneously as solutions of certain second order differential equations, and as an orthogonal basis for an inner product on the space of modular forms.

Place, publisher, year, edition, pages
World Scientific, 2011. Vol. 7, no 1, 249-259 p.
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-10438DOI: 10.1142/S1793042111004009ISI: 000287864700015OAI: oai:DiVA.org:kau-10438DiVA: diva2:493973
Available from: 2012-02-08 Created: 2012-02-08 Last updated: 2015-06-24Bibliographically approved

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Publisher's full texthttp://www.worldscientific.com/doi/abs/10.1142/S1793042111004009?journalCode=ijnthttp://dx.doi.org/10.1142/S1793042111004009

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CiteExportLink to record
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