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A027825 If there were a unimodular 25-dimensional lattice with minimal norm 3, it would have this as the theta series of its shadow. Unfortunately, no such lattice exists. 0

%I #6 Oct 04 2012 10:28:28

%S 0,200,405000,34009632,828786600,10057575600,78117080400,444684760200,

%T 2013684539760,7650742653000,25296927545000,74726358240600,

%U 201078440944200

%N If there were a unimodular 25-dimensional lattice with minimal norm 3, it would have this as the theta series of its shadow. Unfortunately, no such lattice exists.

%H E. M. Rains and N. J. A. Sloane, <a href="http://neilsloane.com/doc/shad.html">The Shadow Theory of Modular and Unimodular Lattices</a>, J. Number Theory, 73 (1998), 359-389.

%e 200*q^(9/4)+ 405000*q^(17/4)+ 34009632*q^(25/4)+...

%K nonn

%O 0,2

%A _N. J. A. Sloane_, E. M. Rains

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Last modified August 17 14:00 EDT 2024. Contains 375221 sequences. (Running on oeis4.)