Independence of hyperlogarithms over function fields via algebraic combinatorics

F.J. Dyson.– The radiation theories of Tomonaga, Schwinger and Feynman

1949

Earlier work this paper cites.

R. Feynman.– An Operator Calculus Having Applications in Quantum Electrodynamics

1951

Earlier work this paper cites.

J.A. Lappo-Danilevsky.– Théorie des systèmes des équations différentielles linéaires

1953

Earlier work this paper cites.

W. Magnus.– On the Exponential Solution of Differential Equation for a Linear Operator, Comm. Pure Appl. Math. 7, 1954, pp. 649-673

1954

Earlier work this paper cites.

N. Bourbaki, Algebra, chapter III

1970

Earlier work this paper cites.

K.T. Chen.– Iterated path integrals

1977

Earlier work this paper cites.

L. Lewin.– Polylogarithms and associated functions

1981

Cited alongside, same era.

M. Fliess.– Fonctionnelles causales non linéaires et indéterminées non commutatives

1981

Cited alongside, same era.

M. Fliess.– Réalisation locale des systèmes non linéaires, algèbres de Lie filtrées transitives et séries génératrices

1983

Cited alongside, same era.

J. Berstel, C. Reutenauer, Rational series and their languages

1988

Cited alongside, same era.

L. Lewin.– Structural properties of polylogarithms

1992

Cited alongside, same era.

G. Wechsung.– Functional Equations of Hyperlogarithms, in [ 17 ]

Cited in the paper.

C. Reutenauer, Free Lie algebras

1993

Later among the works it cites.

Duchamp G., Reutenauer C

1997

Later among the works it cites.

Hoang Ngoc Minh, M. Petitot and J. Van der Hoeven.– Polylogarithms and Shuffle Algebra, Proceedings of FPSAC’98

1998

Later among the works it cites.

M. van der Put and M.F. Singer.– Galois Theory of Linear Differential Equation, Comprehensive Studies in Mathematics, vol. 328, Springer-Verlag, Berlin, (2003)

2003

Later among the works it cites.

N. Bourbaki, Theory of sets

2004

Later among the works it cites.