15 citations · 40 across the 6 of their papers we have counts for
6 papers
Diagonals of rational functions: from differential algebra to effective algebraic geometry (unabridged version)
Y. Abdelaziz, S. Boukraa, C. Koutschan +1
We show that the results we had obtained on diagonals of nine and ten parameters families of rational functions using creative telescoping, yielding modular forms expressed as pull…
On Christol's conjecture
Y. Abdelaziz, C. Koutschan, J-M. Maillard
We show that the unresolved examples of Christol's conjecture and , are indeed diagon…
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…
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…
Schwarzian conditions for linear differential operators with selected differential Galois groups (unabridged version)
Y. Abdelaziz, J. -M. Maillard
We show that non-linear Schwarzian differential equations emerging from covariance symmetry conditions imposed on linear differential operators with hypergeometric function solutio…
Modular forms, Schwarzian conditions, and symmetries of differential equations in physics
Y. Abdelaziz, J. -M. Maillard
We give examples of infinite order rational transformations that leave linear differential equations covariant. These examples are non-trivial yet simple enough illustrations of ex…