The representation of the ternary quadratic forms

  • 張 睿恩

Student thesis: Master's Thesis

Abstract

We will show that all sums of three squares are not universal and introduce the Gauss and Legendre theorems We will also give a method to check if a triple sum of squares is regular or irregular Then we will study the ternary quadratic forms of mixed sums of squares and triangular numbers We will show that there are only nitely ternary forms of mixed sums of squares and triangular numbers in each three types which is universal Finally we will introduce some methods to determine the ternary quadratic forms of mixed sums of squares and triangular numbers is asymptotically universal or almost universal
Date of Award2017 Feb 9
Original languageEnglish
SupervisorPo-Yi Huang (Supervisor)

Cite this

The representation of the ternary quadratic forms
睿恩, 張. (Author). 2017 Feb 9

Student thesis: Master's Thesis