Geodesic
Reprint: On algebraic differential equations satisfied by automorphic functions (1969)
Documenta mathematica, Mahler Selecta (2019), pp. 661-667.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

In this paper, Mahler investigates the question whether automorphic functions of Fuchsian type can satisfy algebraic differential equations of the second order. Under rather general restrictions on the corresponding group, it is proved that there is no such differential equation. \par Reprint of the author's paper [J. Aust. Math. Soc. 10, 445--450 (1969; Zbl 0207.08302)].
Classification : 11-03, 11F03, 30F35, 34M15 
@article{DOCMA_2019__S1__a40,
     author = {Mahler, Kurt},
     title = {Reprint: {On} algebraic differential equations satisfied by automorphic functions (1969)},
     journal = {Documenta mathematica},
     pages = {661--667},
     publisher = {mathdoc},
     volume = {Mahler Selecta},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2019__S1__a40/}
}
TY  - JOUR
AU  - Mahler, Kurt
TI  - Reprint: On algebraic differential equations satisfied by automorphic functions (1969)
JO  - Documenta mathematica
PY  - 2019
SP  - 661
EP  - 667
VL  - Mahler Selecta
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DOCMA_2019__S1__a40/
LA  - en
ID  - DOCMA_2019__S1__a40
ER  - 
%0 Journal Article
%A Mahler, Kurt
%T Reprint: On algebraic differential equations satisfied by automorphic functions (1969)
%J Documenta mathematica
%D 2019
%P 661-667
%V Mahler Selecta
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DOCMA_2019__S1__a40/
%G en
%F DOCMA_2019__S1__a40
Mahler, Kurt. Reprint: On algebraic differential equations satisfied by automorphic functions (1969). Documenta mathematica, Mahler Selecta (2019), pp. 661-667. http://geodesic.mathdoc.fr/item/DOCMA_2019__S1__a40/