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

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)

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)