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We provide a set of diagonals of simple rational functions of three and four variables that are squares of Heun functions. These Heun functions obtained through creative telescoping, turn out… Click to show full abstract
We provide a set of diagonals of simple rational functions of three and four variables that are squares of Heun functions. These Heun functions obtained through creative telescoping, turn out to be either pullbacked $_2F_1$ hypergeometric functions and in fact classical modular forms. We also obtain Heun functions that are Shimura curves as solutions of telescopers of rational functions.
Keywords:
functions diagonals;
rational functions;
heun functions;
functions heun;
diagonals rational
Journal Title: Journal of Physics A: Mathematical and Theoretical
Year Published: 2020
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Journal Title: Journal of Physics A: Mathematical and Theoretical
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!