References

ON THE NUMBER OF PRIMITIVE PYTHAGOREAN QUINTUPLES


[1] B. C. Berndt, Number Theory in the Spirit of Ramanujan, Student Mathematical Library, Vol. 34, American Mathematical Society, Providence, RI, 2006.

[2] S. Cooper and M. D. Hirschhorn, On the number of primitive representations of integers as sum of squares, Ramanujan Journal 13 (2007), 7-25.

[3] S. Cooper and H. Y. Lam, On the Diophantine equation Journal of Number Theory 133 (2013), 719-737.

[4] L. E. Dickson, Introduction to the Theory of Numbers, University of Chicago Press, Reprint (1957), Dover Publications, 1929.

[5] W. Hürlimann, Exact and asymptotic evaluation of the number of distinct primitive cuboids, Journal of Integer Sequences 18(2), Article 15.2.5. (2015).

[6] E. Grosswald, Representations of Integers as Sums of Squares, Springer, New York, 1985.

[7] J. L. Lagrange, Démonstration d‘un théorème d’arithmétique, Nouveaux Mémoires de l’Acad. Royale des Sciences et Belles Lettres de Berlin, (Oeuvres 3 (1770), 695-795).