Geodesic
Positive solutions to some systems of Diophantine equations
Journal of integer sequences, Tome 19 (2016) no. 8.

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

Summary: We consider a sequence defined by the number of positive solutions to a sequence of systems of Diophantine equations. We derive some bounds on the solutions to demonstrate that the terms of the sequence are finite. We develop an algorithm for computing an arbitrary term of the sequence, and consider a graph-theoretic approach to computing the same.
Classification : 11D45, 11D72, 05C38
Keywords: system of Diophantine equations 
@article{JIS_2016__19_8_a5,
     author = {Briggs, Christopher and Hirano, Yasuyuki and Tsutsui, Hisaya},
     title = {Positive solutions to some systems of {Diophantine} equations},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {19},
     number = {8},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a5/}
}
TY  - JOUR
AU  - Briggs, Christopher
AU  - Hirano, Yasuyuki
AU  - Tsutsui, Hisaya
TI  - Positive solutions to some systems of Diophantine equations
JO  - Journal of integer sequences
PY  - 2016
VL  - 19
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a5/
LA  - en
ID  - JIS_2016__19_8_a5
ER  - 
%0 Journal Article
%A Briggs, Christopher
%A Hirano, Yasuyuki
%A Tsutsui, Hisaya
%T Positive solutions to some systems of Diophantine equations
%J Journal of integer sequences
%D 2016
%V 19
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a5/
%G en
%F JIS_2016__19_8_a5
Briggs, Christopher; Hirano, Yasuyuki; Tsutsui, Hisaya. Positive solutions to some systems of Diophantine equations. Journal of integer sequences, Tome 19 (2016) no. 8. http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a5/