On certain quaternary quadratic forms
Abstract
In this paper, we determine all the positive integers a, b and c such that every nonnegative integer can be represented as fa,bc(x,y,z,w)=ax2+by2+c(z2+zw+w2) \,\, with \,\,x,y,z,w∈Z. Furthermore, we prove that fa,bc can represent all the nonnegative integers if it represents n=1,2,3,5,6,10.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.