Essays about: "p-adic numbers"

Found 1 essay containing the words p-adic numbers.

  1. 1. The p-adic numbers and Hensel's lemma

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Author : Justyna Dabrowska; [2023]
    Keywords : p-adic; p-adic numbers; number theory; hensel s lemma; Mathematics and Statistics;

    Abstract : The thesis consists of four chapters, each focused on developing the knowledge and drawing new connections with the p-adic numbers and the notions that are well known from the usual analysis on the real topology. In the first chapter, we introduce the basic structure of the $p$-adics, in connection to the conergent series and field axioms. READ MORE