Representations of integral quadratic polynomials

2012/08/30 by Wai Kiu Chan, Byeong-Kweon Oh, Chan, Wai Kiu +1 · 1 citation
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1208.6060

arxiv created 2012/08/30 · arxiv updated 2012/08/31

Abstract

In this paper, we study the representations of integral quadratic polynomials. Particularly, it is shown that there are only finitely many equivalence classes of positive ternary universal integral quadratic polynomials, and that there are only finitely many regular ternary triangular forms. A more general discussion of integral quadratic polynomials over a Dedekind domain inside a global field is also given.

Cited by

• Sums of squares of integers from residue classes

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