dc.contributor.author | Elkies, Noam | |
dc.contributor.author | Ono, Ken | |
dc.contributor.author | Yang, Tonghai | |
dc.date.accessioned | 2009-04-21T03:41:26Z | |
dc.date.issued | 2005 | |
dc.identifier.citation | Elkies, Noam D., Ken Ono, and Tonghai Yang. 2005. Reduction of CM elliptic curves and modular function congruences. International Mathematics Research Notices (44): 2695-2707. | en |
dc.identifier.issn | 1073-7928 | en |
dc.identifier.uri | http://nrs.harvard.edu/urn-3:HUL.InstRepos:2797455 | |
dc.description.abstract | We study congruences of the form F(j(z)) | U(p) = G(j(z)) mod p, where U(p) is the p-th Hecke operator, j is the basic modular invariant 1/q+744+196884q+... for SL2(Z), and F,G are polynomials with integer coefficients. Using the interplay between singular (a.k.a. CM) j-invariants in characteristic zero and supersingular ones in characteristic p, we obtain such congruences in which F is the minimal polynomial of a CM j-invariant, and give a sufficient condition for G to be a constant polynomial in these congruences. | en |
dc.description.sponsorship | Mathematics | en |
dc.language.iso | en_US | en |
dc.relation.hasversion | http://arxiv.org/abs/math/0512350 | en |
dash.license | LAA | |
dc.subject | quadratic forms | en |
dc.subject | singular moduli | en |
dc.subject | half-integral weight | en |
dc.title | Reduction of CM elliptic curves and modular function congruences | en |
dc.relation.journal | International Mathematics Research Notices | en |
dash.depositing.author | Elkies, Noam | |
dash.contributor.affiliated | Elkies, Noam | |