Journal of Algebra, Number Theory: Advances and ApplicationsAuthor's: Werner Hürlimann
Pages: [13] - [28]
Received Date: March 17, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100121468
We express the number of distinct primitive Pythagorean quintuples in terms of the total number of primitive representations of a square as a sum of four squares (counting zeros, permutations, and sign changes), two twisted Euler functions with Dirichlet characters of period four and eight, and three counting formulas for binary sums of squares.
Diophantine equation, sum of squares, ternary quadratic form, arithmetic function, twisted Euler function.
