Citation
Lu, Kauun (1968) Some properties of the coefficients of cyclotomic polynomials. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/py5sv205. https://resolver.caltech.edu/CaltechTHESIS:12182015163230212
Abstract
An explicit formula is obtained for the coefficients of the cyclotomic polynomial F_{n}(x), where n is the product of two distinct odd primes. A recursion formula and a lower bound and an improvement of Bang’s upper bound for the coefficients of F_{n}(x) are also obtained, where n is the product of three distinct primes. The cyclotomic coefficients are also studied when n is the product of four distinct odd primes. A recursion formula and upper bounds for its coefficients are obtained. The last chapter includes a different approach to the cyclotomic coefficients. A connection is obtained between a certain partition function and the cyclotomic coefficients when n is the product of an arbitrary number of distinct odd primes. Finally, an upper bound for the coefficients is derived when n is the product of an arbitrary number of distinct and odd primes.
Item Type:  Thesis (Dissertation (Ph.D.)) 

Subject Keywords:  Mathematics 
Degree Grantor:  California Institute of Technology 
Division:  Physics, Mathematics and Astronomy 
Major Option:  Mathematics 
Thesis Availability:  Public (worldwide access) 
Research Advisor(s): 

Thesis Committee: 

Defense Date:  5 April 1968 
Record Number:  CaltechTHESIS:12182015163230212 
Persistent URL:  https://resolver.caltech.edu/CaltechTHESIS:12182015163230212 
DOI:  10.7907/py5sv205 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  9331 
Collection:  CaltechTHESIS 
Deposited By:  INVALID USER 
Deposited On:  21 Dec 2015 17:41 
Last Modified:  16 Apr 2021 22:19 
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