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A Caltech Library Repository Feedhttp://www.rssboard.org/rss-specificationpython-feedgenenWed, 31 Jan 2024 19:23:39 +0000Some properties of the coefficients of cyclotomic polynomials
https://resolver.caltech.edu/CaltechTHESIS:12182015-163230212
Authors: {'items': [{'id': 'Lu-Kau-un', 'name': {'family': 'Lu', 'given': 'Kau-un'}}]}
Year: 1968
DOI: 10.7907/py5s-v205
<p>An explicit formula is obtained for the coefficients of the cyclotomic polynomial F<sub>n</sub>(x), where n is the product of two distinct odd primes. A recursion formula and a lower bound and an improvement of Bangâ€™s upper bound for the coefficients of F<sub>n</sub>(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. </p>https://thesis.library.caltech.edu/id/eprint/9331