New multiplicative identities for generalized Jacobi sums enable the construction of f-ic multiplicative forms on complete intersections of f-ics, generalizing Pfister's quadratic forms to affine algebraic varieties with a compatible algebraic torus on a dense open set.
Thaine, Families of irreducible polynomials of Gaussian periods and matrices of cyclotomic numbers, Math
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Multiplicative $f$-ic forms on algebraic varieties arising from Thaine's generalized Jacobi sums
New multiplicative identities for generalized Jacobi sums enable the construction of f-ic multiplicative forms on complete intersections of f-ics, generalizing Pfister's quadratic forms to affine algebraic varieties with a compatible algebraic torus on a dense open set.