Arenas, A. (Àngela), 1955-2020-03-022020-03-021986https://hdl.handle.net/2445/151626Preprint enviat per a la seva publicació en una revista científica: Linear and Multilinear Algebra, V. 22, 1987-Issue 2. [https://doi.org/10.1080/03081088708817829]In this paper we generalise the well-known Gauss algorithm for counting primitive representations of positive integers by positive definite ternary quadratic forros ([3], Arts 278-292) to the case of quadratic forros in k variables. Our main considerations are based on the systematic use of exterior algebra which, in our opinion, simplifies thewhole treatment and helps to understand sorne apparently hidden ideas.19 p.application/pdfeng(c) Angela Arenas, 1986Anàlisi funcionalUniversitat de Barcelona. Institut de MatemàticaOn integral representations by quadratic formsinfo:eu-repo/semantics/articleDL B 22341-1986info:eu-repo/semantics/openAccess