Spinor equivalence of quadratic forms (Q788758)

Let f be an integral quadratic form in three or more variables and g any form in the genus of f. The main theorem of the paper says: Then there is an effectively determinable prime p and a form g', belonging to the proper spinor genus of g, such that g' is a p-neighbour of f in the graph of f. This can be used for an explicit decision procedure for the spinor equivalence of quadratic forms; a different decision procedure has been given by \textit{J. W. S. Cassels} in his book ''Rational quadratic forms'' (1978; Zbl 0395.10029).