Fermat'n pieni lause

Tässä työssä tutkimme Fermat’n pientä lausetta, Eulerin funktiota ja yksiköiden ryhmää. Toteamme myös, että on olemassa lukuja, jotka toteuttavat Fermat’n lauseen kaavan olematta kuitenkaan alkulukuja. Todistamme lisäksi Fermat’n lausetta yleisemmän tuloksen. Lopuksi perehdymme hieman Eulerin ja Fer...

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Main Author: Pitkänen, Heikki
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Mathematics and Science, Matematiikan ja tilastotieteen laitos, University of Jyväskylä, Jyväskylän yliopisto
Format: Bachelor's thesis
Language:fin
Published: 2009
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/37448
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author Pitkänen, Heikki
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Mathematics and Science Matematiikan ja tilastotieteen laitos University of Jyväskylä Jyväskylän yliopisto
author_facet Pitkänen, Heikki Matemaattis-luonnontieteellinen tiedekunta Faculty of Mathematics and Science Matematiikan ja tilastotieteen laitos University of Jyväskylä Jyväskylän yliopisto Pitkänen, Heikki Matemaattis-luonnontieteellinen tiedekunta Faculty of Mathematics and Science Matematiikan ja tilastotieteen laitos University of Jyväskylä Jyväskylän yliopisto
author_sort Pitkänen, Heikki
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description Tässä työssä tutkimme Fermat’n pientä lausetta, Eulerin funktiota ja yksiköiden ryhmää. Toteamme myös, että on olemassa lukuja, jotka toteuttavat Fermat’n lauseen kaavan olematta kuitenkaan alkulukuja. Todistamme lisäksi Fermat’n lausetta yleisemmän tuloksen. Lopuksi perehdymme hieman Eulerin ja Fermat’n lauseiden sovelluksiin salausmenetelmissä.
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spellingShingle Pitkänen, Heikki Fermat'n pieni lause Fermat'n pieni lause Eulerin funktio Yksiköiden ryhmä Matematiikka
title Fermat'n pieni lause
title_full Fermat'n pieni lause
title_fullStr Fermat'n pieni lause Fermat'n pieni lause
title_full_unstemmed Fermat'n pieni lause Fermat'n pieni lause
title_short Fermat'n pieni lause
title_sort fermat n pieni lause
title_txtP Fermat'n pieni lause
topic Fermat'n pieni lause Eulerin funktio Yksiköiden ryhmä Matematiikka
topic_facet Eulerin funktio Fermat'n pieni lause Matematiikka Yksiköiden ryhmä
url https://jyx.jyu.fi/handle/123456789/37448 http://www.urn.fi/URN:NBN:fi:jyu-201202251300
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