Estimates of the Number of Primes Representable by Quadratic Polynomials in Two Variables

Theoretical mathematics

Purdon, Susan

University:University of Glasgow

关键词: Theoretical mathematics;   

Others  :  http://theses.gla.ac.uk/76504/1/13834286.pdf

来源: University of Glasgow

【 摘 要 】

The objective of this thesis is to estimate the functions [mathematical formula removed] for n and m integers, and [mathematical formula removed] for q and r primes. In Chapter One we give a series of lemmas relating to the ensuing chapters. In Chapter Two we deal with the function F(x,y,z) for a=b=c=0, and in Chapter Three with P(x,y,z) for a=b=c=0. In Chapters Four and Five the major theorems of the thesis are presented.