Representations by Quaternary Quadratic Forms With Coefficients are 1,2,5 or 10

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Creator: 

Altiary, Mada

Date: 

2015

Abstract: 

We determine explicit formulas for the number of representations of a positive integer n by the quaternary quadratic forms a_1x_1^2+a_2x_2^2+a_3x_3^2+a_4x_4^2, where a_1,a_2,a_3,a_4 in {1,2,5,10}. We use a modular form approach.

Subject: 

Mathematics

Language: 

English

Publisher: 

Carleton University

Thesis Degree Name: 

Master of Science: 
M.Sc.

Thesis Degree Level: 

Master's

Thesis Degree Discipline: 

Pure Mathematics

Parent Collection: 

Theses and Dissertations

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