C. Koutschan

most citedHeun functions and diagonals of rational functions (unabridged version)

7 citations · 7 across the 1 of their papers we have counts for

collaborators

3 papers

math.NT2020

On Christol's conjecture

Y. Abdelaziz, C. Koutschan, J-M. Maillard

We show that the unresolved examples of Christol's conjecture $_{3} F_{2} ([2/9, 5/9, 8/9], [2/3, 1], x)$ and $_{3} F_{2} ([1/9, 4/9, 7/9], [1/3, 1], x)$ , are indeed diagon…

math-ph2019★ 7 cited

Heun functions and diagonals of rational functions (unabridged version)

Y. Abdelaziz, S. Boukraa, C. Koutschan +1

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 telescopin…

math-ph2018

Diagonals of rational functions, pullbacked 2F1 hypergeometric functions and modular forms (unabrigded version)

Y. Abdelaziz, S. Boukraa, C. Koutschan +1

We recall that diagonals of rational functions naturally occur in lattice statistical mechanics and enumerative combinatorics. We find that a seven-parameter rational function of t…