HIGHLIGHTS
SUMMARY
In previous papers, using creative telescoping, the authors have obtained diagonals (for the introduction of the concept of diagonals of rational functions,) of 9- and 10-parameter families of rational functions, given by_(classical) modular forms expressed as pullbacked 2 F1 hypergeometric functions. The natural emergence of diagonals of rational functions (the lattice Green functions are the simplest examples of such diagonals of rational functions ) in lattice statistical mechanics is explained. The authors 3 of 33 show how modular forms expressed as pullbacked 2 F1 hypergeometric functions occur for rational functions in three variables . . .
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