Geodesic
On the congruence $f(x)+g(y)+c\equiv 0$ $({\rm mod}$ $xy)$ (completion of Mordell's proof)
A. Schinzel1
1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warszawa, Poland
Acta Arithmetica, Tome 167 (2015) no. 4, pp. 347-374

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Assertions on the congruence $$ f(x) + g(y) + c \equiv 0 \ ({\rm mod}\ xy) $$ made without proof by Mordell in his paper in Acta Math. 88 (1952) are either proved or disproved.
DOI : 10.4064/aa167-4-3
Keywords: assertions congruence equiv mod made without proof mordell his paper acta math either proved disproved

A. Schinzel 1

1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warszawa, Poland 
@article{10_4064_aa167_4_3,
     author = {A. Schinzel},
     title = {On the congruence $f(x)+g(y)+c\equiv 0$ $({\rm mod}$ $xy)$ (completion of {Mordell's} proof)},
     journal = {Acta Arithmetica},
     pages = {347--374},
     publisher = {mathdoc},
     volume = {167},
     number = {4},
     year = {2015},
     doi = {10.4064/aa167-4-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa167-4-3/}
}
TY  - JOUR
AU  - A. Schinzel
TI  - On the congruence $f(x)+g(y)+c\equiv 0$ $({\rm mod}$ $xy)$ (completion of Mordell's proof)
JO  - Acta Arithmetica
PY  - 2015
SP  - 347
EP  - 374
VL  - 167
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa167-4-3/
DO  - 10.4064/aa167-4-3
LA  - en
ID  - 10_4064_aa167_4_3
ER  - 
%0 Journal Article
%A A. Schinzel
%T On the congruence $f(x)+g(y)+c\equiv 0$ $({\rm mod}$ $xy)$ (completion of Mordell's proof)
%J Acta Arithmetica
%D 2015
%P 347-374
%V 167
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/aa167-4-3/
%R 10.4064/aa167-4-3
%G en
%F 10_4064_aa167_4_3
A. Schinzel. On the congruence $f(x)+g(y)+c\equiv 0$ $({\rm mod}$ $xy)$ (completion of Mordell's proof). Acta Arithmetica, Tome 167 (2015) no. 4, pp. 347-374. doi: 10.4064/aa167-4-3

Cité par Sources :