Artins förmodan: p-adiska tal, ändliga kroppar och ekvationer utan heltalslösningar

dc.contributor.author	Karlsson, Alexander
dc.contributor.author	Wahl, Kajsa
dc.contributor.author	Klyver, Markus
dc.contributor.department	Chalmers tekniska högskola / Institutionen för matematiska vetenskaper	sv
dc.contributor.department	Chalmers University of Technology / Department of Mathematical Sciences	en
dc.date.accessioned	2019-07-05T12:03:12Z
dc.date.available	2019-07-05T12:03:12Z
dc.date.issued	2019
dc.description.abstract	This paper is based on Artin's conjecture concerning homogeneous polynomial equations. The conjecture is false in general but it is still true in many cases. One of our goals is to motivate why the conjecture is formulated the way it is. Moreover, we present a counterproof to the conjecture and we prove the conjecture in one specific case. We construct the p-adic numbers as the conjecture is expressed in terms of p-adic numbers and we introduce theory on finite fields, as it is needed in the motivation of the conjecture, the counterproof and in the proof of the specific case.
dc.identifier.uri	https://hdl.handle.net/20.500.12380/257389
dc.language.iso	swe
dc.setspec.uppsok	PhysicsChemistryMaths
dc.subject	Grundläggande vetenskaper
dc.subject	Matematik
dc.subject	Basic Sciences
dc.subject	Mathematics
dc.title	Artins förmodan: p-adiska tal, ändliga kroppar och ekvationer utan heltalslösningar
dc.type.degree	Examensarbete för kandidatexamen	sv
dc.type.degree	Bachelor Thesis	en
dc.type.uppsok	M2

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