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On integral representations by totally positive ternary quadratic forms

On integral representations by totally positive ternary quadratic forms

Let K be a totally real algebraic number field whose ring of integers R is a principal ideal domain. Let f(x 1 ,x 2 ,x 3 ) be a totally definite ternary quadratic form with coefficients in R. We shall study representations of totally positive elements N∈R by f. We …