This volume deals systematically with connections between algebraic number theory and low-dimensional topology. Of particular note are various inspiring interactions between number theory and low-dimensional topology discussed in most papers in this volume. For example, quite interesting are the use of arithmetic methods in knot theory and the use of topological methods in Galois theory. Also, expository papers in both number theory and topology included in the volume can help a wide group of readers to understand both fields as well as the interesting analogies and relations that bring them together.
This is the first volume of the lectures presented at the Clay Mathematics Institute 2014 Summer School, "Periods and Motives: Feynman amplitudes in the 21st century", which took place at the Instituto de Ciencias Matemáticas-ICMAT ...
... Dorian Goldfeld, Martin Kreuzer, Gerhard Rosenberger, and Vladimir Shpilrain, Editors, Algebraic methods in cryptography, 2006 Vadim B. Kuznetsov and Siddhartha Sahi, Editors, Jack, Hall-Littlewood and Macdonald polynomials, ...
This book provides a complete introduction to the most significant class of L-functions: the Artin-Hecke L-functions associated to finite-dimensional representations of Weil groups and to automorphic L-functions of principal type on the ...
Since the original publication of this book in French (see Astérisque 229, 1995), the field has undergone significant progress. These advances are noted in this English edition. Also, some minor improvements have been made to the text.
... q-series with applications to combinatorics, number theory, and physics, 2001 Michel L. Lapidus and Machiel van Frankenhuysen, Editors, Dynamical, spectral, and arithmetic zeta functions, 2001 Salvador Pérez-Esteva and Carlos Villegas ...
This monograph makes available, in English, the elementary parts of classical algebraic number theory. This second edition follows closely the plan and style of the first edition.
This book is an introduction to algebraic number theory, meaning the study of arithmetic in finite extensions of the rational number field Q . Originating in the work of Gauss, the foundations of modern algebraic number theory are due to ...
An introduction to algebraic number theory for senior undergraduates and beginning graduate students in mathematics.
Let F be a number field.
These two volumes of forty papers present a state-of-the-art description of some of the exciting applications of algebraic $K$-theory to other branches of mathematics, especially algebraic geometry and algebraic number theory.