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Cauchy-Mirimanoff and related polynomials

Nanninga, Paul Marlon


This thesis investigates the Cauchy-Mirimanoff polynomials En and their close relatives Rn, Sn and Tn, with an emphasis on irreducibility. The Cauchy-Mirimanoff polynomials were first identified and studied by Cauchy and Liouville in 1839 in relation to Fermat's Last Theorem, but Mirimanoff in 1903 first proposed their irreducibility over Q for n a prime number. None of the standard irreducibility criteria apply directly, for example Helou showed En is always reducible modulo any prime for all...[Show more]

CollectionsOpen Access Theses
Date published: 2013
Type: Thesis (PhD)
DOI: 10.25911/5d78d7e13392d


File Description SizeFormat Image
01Front_Nanninga.pdfFront Matter96.88 kBAdobe PDFThumbnail
02Whole_Nanninga.pdfWhole Thesis446.67 kBAdobe PDFThumbnail

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