Author's: Nikolai A. Krylov
Pages: [51] - [70]
Received Date: September 20, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100121720
Let m be a fixed square-free positive integer, then equivalence
classes of solutions of Diophantine equation form an infinitely generated abelian
group under the operation induced by the complex multiplication. A
basis of this group is constructed here using prime ideals and the
ideal class group of the field
almost Pythagorean triples, prime ideals, imaginary quadratic field, ideal class group.