Ternary positive quadratic forms that represent all odd positive integers
Ternary quadratic forms ax² + by² + cz² representing all positive integers 8k + 4
Under the assumption that the ternary form x² + 2y² + 5z² + xz represents all odd positive integers, we prove that a ternary quadratic form ax² + by² + cz² (a,b,c ∈ ℕ) represents all positive integers n ≡ 4(mod 8) if and only if it represents the eight integers 4,12,20,28,52,60,140 and 308.
The connection between quadratic forms and the extended modular group
In this paper some properties of quadratic forms whose base points lie in the point set , the fundamental domain of the modular group, and transforming these forms into the reduced forms with the same discriminant are given.
The cubic congruence and binary quadratic forms . II.
The expansion of
The imaginary quadratic fields of class number 4
The Nullstellensatz for real coherent analytic surfaces.
The number of representations by sums of squares and triangular numbers.
The representation of one quadratic form by another in valuated fields
The Stufe of Number Fields.
Three classical results on representations of a number.