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Carleton University

Representation by Quaternary Quadratic Forms whose Coefficients are 1, 2, 7 and 14

Abstract

dc:description.abstract

We determine explicit formulae 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 {1,2,7,14}. We use a modular form approach.

Degree

thesis:*
Name thesis:degree_name
Master of Science (M.Sc.)
Level thesis:degree_level
Master's
Discipline thesis:degree_discipline
Pure Mathematics
Grantor dc:publisher
Carleton University
Year dc:date.issued
2015

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Alanazi, Jamilah

Rights

dc:rights
Statement dc:rights
  • Copyright © 2015 the author(s). Theses may be used for non-commercial research, educational, or related academic purposes only. Such uses include personal study, research, scholarship, and teaching. Theses may only be shared by linking to Carleton University Institutional Repository and no part may be used without proper attribution to the author. No part may be used for commercial purposes directly or indirectly via a for-profit platform; no adaptation or derivative works are permitted without consent from the copyright owner.
Language dc:language.iso
en

Identifiers

dc:identifier.*
OAI identifier oai:identifier
oai:carleton.scholaris.ca:20.500.14718/39195

Chain of custody

source
Harvested from
Carleton University
Base URL
carleton.scholaris.ca/server/oai/request
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
related terms
citation

Alanazi, Jamilah. Representation by Quaternary Quadratic Forms whose Coefficients are 1, 2, 7 and 14. Master's thesis, Carleton University, 2015. https://hdl.handle.net/20.500.14718/39195