Premium
Non‐Homogeneous Cubic Equations
Author(s) -
Watson G. L.
Publication year - 1967
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s3-17.2.271
Subject(s) - watson , homogeneous , citation , mathematics , combinatorics , computer science , library science , artificial intelligence
where C, Q, L are cubic, quadratic and linear forms respectively and N is an integer. We shall suppose that is not degenerate, that is, that cannot be transformed into a cubic polynomial in fewer than n variables by any integral unimodular linear substitution (not necessarily homogeneous) on the variables. This does not preclude the possibility that the cubic form C may degenerate, but we shall suppose that C does not vanish identically. Our object is to prove that under certain conditions the equation