We study ADC quadratic forms and Euclidean quadratic forms over the integers, obtaining complete classification results in the positive case.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa164-3-4, author = {Pete L. Clark and William C. Jagy}, title = {Euclidean quadratic forms and ADC forms II: integral forms}, journal = {Acta Arithmetica}, volume = {166}, year = {2014}, pages = {265-308}, zbl = {1316.11026}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa164-3-4} }
Pete L. Clark; William C. Jagy. Euclidean quadratic forms and ADC forms II: integral forms. Acta Arithmetica, Tome 166 (2014) pp. 265-308. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa164-3-4/