Cauchy-Mirimanoff and related polynomials
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]
|Collections||Open Access Theses|
|01Front_Nanninga.pdf||Front Matter||96.88 kB||Adobe PDF|
|02Whole_Nanninga.pdf||Whole Thesis||446.67 kB||Adobe PDF|
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.