Find results with:

Search by date

To link to the entire object, paste this link in email, IM or document

To embed the entire object, paste this HTML in website

To link to this page, paste this link in email, IM or document

To embed this page, paste this HTML in website

Products of distinct cyclotomic polynomials

you wish to report:

Your comment:

Your Name:

Submit

Cancel

...

Author	Thompson, Lauren A.
Title	Products of distinct cyclotomic polynomials
Date	2012
Abstract	A polynomial is a product of distinct cyclotomic polynomials if and only if it is a divisor over [Special characters omitted.] [x ] of xn - 1 for some positive integer n. In this thesis, we will examine two natural questions concerning the divisors of xn - 1: "For a given n , how large can the coefficients of divisors of xn - 1 be?" and "How often does xn - 1 have a divisor of every degree between 1 and n ?" We consider the latter question when x n - 1 is factored in both [Special characters omitted.] [x ] and [Special characters omitted.] [x ]. The primary tools used in our investigation arise from the study of the "anatomy of integers." We also make use of a number of results stemming from Hooley's conditional proof of Artin's Primitive Root Conjecture in our work over [Special characters omitted.] [x ].
Description	vii, 100 leaves : ill. ; 28 cm.
Format	application/pdf
Advisor	Pomerance, Carl; David, Chantal; Pollack, Paul; Shemanske, Thomas; Yang, Andrew
College	Dartmouth College -- Department of Mathematics.
Issuing Body	Dartmouth Dissertations are made available through the Dartmouth Digital Library.
Degree	Thesis (Ph.D.)--Dartmouth College.
Copyright	All rights reserved. No part of this book may be reproduced in any form by any electronic or mechanical means without permission in writing from the author.
DOI	http://dx.doi.org/10.1349/ddlp.414

Title	Page 1
Format	application/pdf
Issuing Body	Dartmouth Dissertations are made available through the Dartmouth Digital Library.
Degree	Thesis (Ph.D.)--Dartmouth College.
Full Text	PRODUCTS OF DISTINCT CYCLOTOMIC POLYNOMIALS A Thesis Submitted to the Faculty in partial ful llment of the requirements for the degree of Doctor of Philosophy in Mathematics by Lauren A. Thompson DARTMOUTH COLLEGE Hanover, New Hampshire May 24, 2012 Examining Committee: Carl Pomerance, Chair Chantal David Paul Pollack Thomas Shemanske Andrew Yang Brian Pogue Dean of Graduate Studies

	All
	Pages Enter page numbers or page ranges separated by commas. For example: 1,3,5-12