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Solutions to some problems related to Diophantine equation, power means and homogenization theory
(Doctoral thesis; Doktorgradsavhandling, 2017-05-19)
This Ph.D. thesis consists of an introduction and 7 papers where we investigate the requirements for finding integer or rational solutions to a selection of Diophantine equations leading to problems connected to power means and homogenization. In Paper 1 we present a modern view of classic number theory in a historic context. In Paper 2 we introduce the Crossed Ladders Problem and present a proof ...