p-adic numbers: An introduction Fernando Quadros Gouvea
Publisher: Springer

GTM056 Algebraic Topology An Introduction - William S. GTM058 p-adic Numbers,Analysis,Zeta-Functions, FileSonic · FileServe. GTM057 Introduction to Knot Theory - Crowell Fox, FileSonic · FileServe. Introduction to p-adic integers. I feel like taking a break from elliptic curves and talking about something completely different. Futher, we will always assume that p is prime. Massey, FileSonic · FileServe. For motivation, let's take a look at solutions of the equation x^2 + x + 3 quiv 0 pmod{5^r for different values of by f(x) and 5 by p. We know that there exists a solution a_r bmod p^r to equation f(a_r) quiv 0 pmod{p^r}. Mathematics > Number Theory In the course of the analysis of the p-adic and u-adic precisions of the computations, we have to introduce more general coefficient rings that may be interesting for their own sake. LINK: Download Introduction to p-adic numbers and valuation theory Audiobook. The main motivation of this paper is [1] by Kim, in which he introduced and studied properties of -Bernoulli numbers and polynomials with weight .