Pdf solenoides, entropie et nombres padiques jeanyves. This work is thepadic analogue of the two papers m. The extension is achieved by an alternative interpretation of the concept of closeness or absolute value. Lanneau z p ainsi defini sappelle lanneau des entiers padiques.
Les developpements padiques ainsi definis constituent lensemble zp des entiers padiques. However, formatting rules can vary widely between applications and fields of interest or study. Le groupe gl2 sur le corps des nombres padiques par. Fonctions l padiques des representations padiques book. In mathematics, the p adic number system for any prime number p extends the ordinary arithmetic of the rational numbers in a different way from the extension of the rational number system to the real and complex number systems. With view to 2 one can decide whether an absolute value is archimedean or not. Number theory551995, 285321 on which it is based, although several new specificpadic ideas are introduced here. Parimaths mathematical olympiads club nombres padiques. We all know that p 2 is irrational, so that 2 is not a square in the. Lorsquon passe des nombres entiers aux nombres reels, on sautorise a utiliser des nombres avec une in. Les developpements padiques ainsi definis constituent lensemble z p des entiers padiques. Construction des nombres p adiques quelques curiosites, quelques beaux resultats conclusion stage arithmetique, limoges le 12 fevrier 2009. Les nombres padiques ahmet emin tatar 1 introduction dans ce m. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext.
It seems that hensels main motivation was the analogy between the ring of integers z, together with its. Th eorie des nombres nombres p adiques exercice 1 les nombres 15, 2 et 1 sontils inversibles dans z 3. Furthermore, if j j is a nonarchimedean value, then minfn 2 n. Kurt hensel soutint en 1886 sa these, a berlin, devant kronecker, avec qui il etait tres lie.
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