This book is the first comprehensive treatise of the transcendence theory of Mahler functions and their values. Recently the theory has seen profound development and has found a diversity of applications. The book assumes a background in elementary field theory, p-adic field, al…
As we observe the advances in cryptography throughout history, we can see that cryptography needs to follow society's changes in general as it gets more and more sophisticated. One critical example of this fact is that there was a time were having a message written in plain lang…
P-adic numbers: an introduction
by Gouvêa, Fernando Q., (Fernando Quadros)
fromUniversitext
p-adic numbers: an introduction
by Gouvêa, Fernando Q., (Fernando Quadros)
fromUniversitext
There are numbers of all kinds: rational, real, complex, p-adic, and more. The p-adic numbers are not as well known as the others, but they play a fundamental role in number theory and in other parts of mathematics, capturing information related to a chosen prime number p. They …