Number theory

This volume aims at collecting survey papers which give broad and enlightening perspectives of various aspects of number theory.

In this monograph, the authors develop a new theory of p-adic cohomology for varieties over Laurent series fields in positive characteristic, based on Berthelot's theory of rigid cohomology.

This monograph presents the work of the authors in metrical theory of continued fractions in the last two decades.

Students and researchers from all fields of mathematics are invited to read and treasure this special Proceedings.

Analytic Number Theory presents some of the central topics in number theory in a simple and concise fashion.

This book is about "e;delta"e;, a paradox logic.

The main results of this book combine pseudo differential analysis with modular form theory.

Products of Random Variables explores the theory of products of random variables through from distributions and limit theorems, to characterizations, to applications in physics, order statistics, and number theory.

This text presents the Eulerian numbers in the context of modern enumerative, algebraic, and geometric combinatorics.

This volume collects lecture notes and research articles from the International Autumn School on Computational Number Theory, which was held at the Izmir Institute of Technology from October 30th to November 3rd, 2017 in Izmir, Turkey.

This book can be divided into two parts.

This innovative textbook introduces a new pattern-based approach to learning proof methods in the mathematical sciences.

A series of three symposia took place on the topic of trace formulas, each with an accompanying proceedings volume.

On May 16 -20, 1995, approximately 150 mathematicians gathered at the Conference Center of the University of Illinois at Allerton Park for an Inter- national Conference on Analytic Number Theory.

Keine ausführliche Beschreibung für "Tafel der regelmässigen Kettenbrüche und ihrer vollständigen Quotienten für die Quadratwurzeln aus den natürlichen Zahlen von 1–10000" verfügbar.

The area of automorphic representations is a natural continuation of studies in the 19th and 20th centuries on number theory and modular forms.

This problem book gathers together 15 problem sets on analytic number theory that can be profitably approached by anyone from advanced high school students to those pursuing graduate studies.

This book develops the foundations of "e;summability calculus"e;, which is a comprehensive theory of fractional finite sums.

Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics.

The notes in this volume correspond to advanced courses held at the Centre de Recerca Matematica as part of the research program in Arithmetic Geometry in the 2009-2010 academic year.

This is the fifth proceedings volume published under the Women in Numbers umbrella.

Building on the success of the first edition, An Introduction to Number Theory with Cryptography, Second Edition, increases coverage of the popular and important topic of cryptography, integrating it with traditional topics in number theory.

Within the general framework of the dynamics of "e;large"e; groups on geometric spaces, the focus is on the types of groups that can act in complicated ways on Lorentz manifolds, and on the structure of the resulting manifolds and actions.

The aim of this book is to provide a comprehensive account of higher dimensional Nevanlinna theory and its relations with Diophantine approximation theory for graduate students and interested researchers.

This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra.

This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory.

A unified account of a powerful classical method, illustrated by applications in number theory.

The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades.

Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert's tenth problem.

Keine ausführliche Beschreibung für "Rein-arithmetischer Beweis des Siegelschen Endlichkeitssatzes für binäre diophantische Gleichungen im Spezialfall des Geschlechts 1" verfügbar.

On March 28~31, 1994 (Farvardin 8~11, 1373 by Iranian calendar), the Twenty- fifth Annual Iranian Mathematics Conference (AIMC25) was held at Sharif University of Technology in Tehran, Islamic Republic of Iran.

This introductory textbook for graduate students presents modern developments in probabilistic number theory, many for the first time.

This book offers a unique account on the life and works of Srinivasa Ramanujan-often hailed as the greatest "e;natural"e; mathematical genius.

Discover the fundamentals of discrete mathematics with practical cryptographic applications.

This carefully prepared manuscript presents elimination theory in weighted projective spaces over arbitrary noetherian commutative base rings.

A monograph on Moonshine, a mathematical physics topic, for graduate students and researchers.

The book introduces new techniques that imply rigorous lower bounds on the com- plexity of some number-theoretic and cryptographic problems.

Mathematical Experiments on the Computer

Automata, Languages, and Machines

Homotopy Theory: An Introduction to Algebraic Topology

This book presents a self-contained graduate-level introduction to the topic of L-functions.

The first part of the book gives a general introduction to key concepts in algebraic statistics, focusing on methods that are helpful in the study of models with hidden variables.

This innovative undergraduate textbook approaches number theory through the lens of abstract algebra.

A self-contained introductory text for beginning graduate students that is contemporary in approach without ignoring historical matters.

This monograph presents recent developments of the theory of algebraic dynamical systems and their applications to computer sciences, cryptography, cognitive sciences, psychology, image analysis, and numerical simulations.

The Symposium on the Current State and Prospects ofMathematics was held in Barcelona from June 13 to June 18,1991.

This volume contains research papers in mathematical logic, particularly in model theory and its applications to algebra and formal theories of arithmetic.

Authoritative, up-to-date review of analytic number theory containing outstanding contributions from leading international figures.