9 citations · 15 across the 3 of their papers we have counts for
3 papers
cond-mat.stat-mech2024
Mahler measures, elliptic curves and -functions for the free energy of the Ising model
Gandhimohan M. Viswanathan
This work establishes links between the Ising model and elliptic curves via Mahler measures. First, we reformulate the partition function of the Ising model on the square, triangul…
cond-mat.stat-mech2022★ 9 cited
What does it take to solve the 3D Ising model? Minimal necessary conditions for a valid solution
G. M. Viswanathan, M. A. G. Portillo, E. P. Raposo +1
Exact solution of the Ising model on the simple cubic lattice is one of the long-standing open problems in rigorous statistical mechanics. Indeed, it is generally believed that set…
cond-mat.stat-mech2021★ 6 cited
The double hypergeometric series for the partition function of the 2D anisotropic Ising model
Gandhimohan M. Viswanathan
In 1944 Lars Onsager published the exact partition function of the ferromagnetic Ising model on the infinite square lattice in terms of a definite integral. Only in the literature…