Bilinear forms and character sums have emerged as pivotal tools in analytic number theory, offering robust frameworks for investigating sums wherein variables interact multiplicatively. Bilinear forms ...

To further develop the theory of vector spaces over arbitrary fields and linear maps between them, including quotient spaces, dual spaces and canonical forms of linear maps. To introduce bilinear and ...

The mod 4 valued quadratic forms defined by E. H. Brown, Jr. are studied. A classification theorem is proven which states that these forms are determined by two things: whether or not their associated ...