The Ising model: from elliptic curves to modular forms
and Calabi-Yau equations (arxiv version
here)
A. Bostan, S. Boukraa, S. Hassani, M. van Hoeij,
J.-M. Maillard, J-A. Weil and N. Zenine
Operators
Z2,
F2
and F3
Operators Z2, F2 and F3 can be found on the pages of Iwan Jensen : the
page of
Chi5, and the
page
for
the
L11 operator. A local (mirror) version can be
found
here.
Operators
Ltilde3
and
L4
The anihilating operator of Chi_6 factors as L46=L6*L23*L17.
L17 is operator (6) in the paper and factors (decomposes) as L17 =
tildeL5 \oplus L3 \oplus (L4 * tildeL3 * L2)
The operator Ltilde3 and a solution
in terms of
2F1 hypergeometric functions are here.
The other operators
are in this file. Operator L4
has a 4F3
solutions (with a pullback)