Geodesic
Positive solutions to some systems of Diophantine equations
Journal of integer sequences, Tome 19 (2016) no. 8
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},
     year = {2016},
     volume = {19},
     number = {8},
     zbl = {1353.11061},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a5/}
}
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%A Tsutsui,  Hisaya
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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/