Noam D. Elkies

activity

19922026

most citedNew upper bounds on sphere packings I

311 citations · 1.2k across the 55 of their papers we have counts for

collaborators

Showing 2005Show all

3 papers · 1 filter

math.NT2005★ 11 cited

Reduction of CM elliptic curves and modular function congruences

Noam D. Elkies, Ken Ono, Tonghai Yang

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…

math.CO2005

New directions in enumerative chess problems

Noam D. Elkies

Normally a chess problem must have a unique solution, and is deemed unsound even if there are alternatives that differ only in the order in which the same moves are played. In an e…

math.GR2005★ 3 cited

The Mathieu group $M_{12}$ and its pseudogroup extension $M_{13}$

John H. Conway, Noam D. Elkies, Jeremy L. Martin

We study a construction of the Mathieu group $M_{12}$ using a game reminiscent of Loyd's ``15-puzzle''. The elements of $M_{12}$ are realized as permutations on~12 of the~13 points…

Reduction of CM elliptic curves and modular function congruences

New directions in enumerative chess problems

The Mathieu group M12​ and its pseudogroup extension M13​

The Mathieu group $M_{12}$ and its pseudogroup extension $M_{13}$