|
| |
|
|
A037947
|
|
Coefficients of unique normalized cusp form Delta_26 of weight 26 for full modular group.
|
|
7
|
|
|
|
1, -48, -195804, -33552128, -741989850, 9398592, 39080597192, 3221114880, -808949403027, 35615512800, 8419515299052, 6569640870912, -81651045335314, -1875868665216, 145284580589400, 1125667983917056, -2519900028948078
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
REFERENCES
|
G. Harder. "A Congruence Between a Siegel and an Elliptic Modular Form." The 1-2-3 of modular forms. Springer Berlin Heidelberg, 2008. 247-262.
|
|
|
LINKS
|
|
|
|
FORMULA
|
G.f.: (E_4(q)^3 - E_6(q)^2)/12^3 * E_6(q) * E_4(q)^2. - Seiichi Manyama, Jun 09 2017
G.f.: -691*3617/(1728*2*3*5^3*7^2*13) * (E_10(q)*E_16(q) - E_12(q)*E_14(q)). - Seiichi Manyama, Jul 25 2017
|
|
|
EXAMPLE
|
q^2 - 48*q^4 - ...
|
|
|
MATHEMATICA
|
terms = 17;
E4[x_] = 1 + 240*Sum[k^3*x^k/(1 - x^k), {k, 1, terms+1}];
E6[x_] = 1 - 504*Sum[k^5*x^k/(1 - x^k), {k, 1, terms+1}];
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
sign
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
