Number theory

This expanded textbook, now in its second edition, is a practical yet in depth guide to cryptography and its principles and practices.

This book brings together the impact of Prof.

This volume presents the revised papers of the 14th International Conference in Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, MCQMC 2020, which took place online during August 10-14, 2020.

This text is intended for a one-semester course in cryptography at the advanced undergraduate/Master's degree level.

This proceedings volume gathers selected, peer-reviewed papers presented at the 2nd International Conference on Mathematics and its Applications in Science and Engineering - ICMASE 2021, which was virtually held on July 1-2, 2021 by the University of Salamanca, Spain.

This volume features contributions from the Women in Commutative Algebra (WICA) workshop held at the Banff International Research Station (BIRS) from October 20-25, 2019, run by the Pacific Institute of Mathematical Sciences (PIMS).

This monograph describes and implements partially homomorphic encryption functions using a unified notation.

The Hardy-Littlewood circle method was invented over a century ago to study integer solutions to special Diophantine equations, but it has since proven to be one of the most successful all-purpose tools available to number theorists.

This book collects and explains the many theorems concerning the existence of certificates of positivity for polynomials that are positive globally or on semialgebraic sets.

This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brasov, Romania, from May 13th to 17th, 2019.

In recent years, extensive research has been conducted by eminent mathematicians and engineers whose results and proposed problems are presented in this new volume.

This book provides an overview of many interesting properties of natural numbers, demonstrating their applications in areas such as cryptography, geometry, astronomy, mechanics, computer science, and recreational mathematics.

This volume contains articles related to the work of the Simons Collaboration "e;Arithmetic Geometry, Number Theory, and Computation.

This book provides a broad, interdisciplinary overview of non-Archimedean analysis and its applications.

This volume presents the collection of mathematical articles by Martin Kneser, reprinted in the original language - mostly German -, including one yet unpublished.

Mahler measure, a height function for polynomials, is the central theme of this book.

This book provides an introduction to state-of-the-art applications of homotopy theory to arithmetic geometry.

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This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not usually covered in books at this level.

This volume includes articles spanning several research areas in number theory, such as arithmetic geometry, algebraic number theory, analytic number theory, and applications in cryptography and coding theory.

This book summarizes recent inventions, provides guidelines and recommendations, and demonstrates many practical applications of homomorphic encryption.

The main topics of this volume, dedicated to Lance Littlejohn, are operator and spectral theory, orthogonal polynomials, combinatorics, number theory, and the various interplays of these subjects.

This textbook offers a rigorous presentation of mathematics before the advent of calculus.

This textbook offers a unique exploration of analytic number theory that is focused on explicit and realistic numerical bounds.

This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry.

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

This book gives its readers a unique opportunity to get acquainted with new aspects of the fruitful interactions between Analysis, Geometry, Quantum Mechanics and Number Theory.

This is the fourth in a series of proceedings of the Combinatorial and Additive Number Theory (CANT) conferences, based on talks from the 2019 and 2020 workshops at the City University of New York.

This volume introduces some recent developments in Arithmetic Geometry over local fields.

This book is an outgrowth of the conference "e;Regulators IV: An International Conference on Arithmetic L-functions and Differential Geometric Methods"e; that was held in Paris in May 2016.

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 textbook is a practical yet in depth guide to cryptography and its principles and practices.

This edited volume presents state-of-the-art developments in various areas in which Harmonic Analysis is applied.

This volume explores the rich interplay between number theory and wireless communications, reviewing the surprisingly deep connections between these fields and presenting new research directions to inspire future research.

This monograph provides a self-contained presentation of the foundations of finite fields, including a detailed treatment of their algebraic closures.

In this book, the author pays tribute to Bernhard Riemann (1826-1866), a mathematician with revolutionary ideas, whose work on the theory of integration, the Fourier transform, the hypergeometric differential equation, etc.

This book gathers nineteen papers presented at the first NLAGA-BIRS Symposium, which was held at the Cheikh Anta Diop University in Dakar, Senegal, on June 24-28, 2019.

This book presents a printed testimony for the fact that George Andrews, one of the world's leading experts in partitions and q-series for the last several decades, has passed the milestone age of 80.

Bridging the gap between novice and expert, the aim of this book is to present in a self-contained way a number of striking examples of current diophantine problems to which Arakelov geometry has been or may be applied.

This textbook covers a wide array of topics in analytic and multiplicative number theory, suitable for graduate level courses.

This textbook explores a selection of topics in complex analysis.

This book takes the reader on a journey from familiar high school mathematics to undergraduate algebra and number theory.

This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history.

This self-contained text presents state-of-the-art results on recurrent sequences and their applications in algebra, number theory, geometry of the complex plane and discrete mathematics.

This book presents original peer-reviewed contributions from the London Mathematical Society (LMS) Midlands Regional Meeting and Workshop on 'Galois Covers, Grothendieck-Teichmuller Theory and Dessinsd'Enfants', which took place at the University of Leicester, UK, from 4 to 7 June, 2018.

This textbook introduces exciting new developments and cutting-edge results on the theme of hyperbolicity.

There are numbers of all kinds: rational, real, complex, p-adic, and more.

This book discusses regular powers and symbolic powers of ideals from three perspectives- algebra, combinatorics and geometry - and examines the interactions between them.

This graduate textbook offers an introduction to modern methods in number theory.

This proceedings volume contains articles related to the research presented at the 2017 Simons Symposium on p-adic Hodge theory.