Number Theory 16

Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind and increases one's armory of techniques for doing……続きを見る

In the earlier monograph Pseudo-reductive Groups, Brian Conrad, Ofer Gabber, and Gopal Prasad explored the general structure of pseudo-reductive groups. In this new book, Classification of Pseudo-re……続きを見る

This book considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian va……続きを見る

Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function. Like the Riemann zeta function, they are Dirichlet series with analytic continuation and functional equations, ……続きを見る

Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan's tau-fu……続きを見る

This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. The formu……続きを見る

Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view. ……続きを見る

Now the most used texbook for introductory cryptography courses in both mathematics and computer science, the Third Edition builds upon previous editions by offering several new sections, topics, an……続きを見る

The successful 30-Second series tackles numbers, with experts on maths and data demystifying the essential numerical topics. We know that we use numbers pretty often, some of us confidently, others ……続きを見る

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 di……続きを見る

This book is an attempt to describe the gradual development of the major schools of research on number theory in South India, Punjab, Mumbai, Bengal, and Biharーincluding the establishment of Tata I……続きを見る

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 ……続きを見る

For a long time, all thought there was only one geometry ー Euclidean geometry. Nevertheless, in the 19th century, many non-Euclidean geometries were discovered. It took almost two millennia to do t……続きを見る

This volume introduces some recent developments in Arithmetic Geometry over local fields. Its seven chapters are centered around two common themes: the study of Drinfeld modules and non-Archimedean ……続きを見る

Searching for small gaps between consecutive primes is one way to approach the twin primes conjecture, one of the most celebrated unsolved problems in number theory. This book documents the remarkab……続きを見る

Vietnam has actively organized the National Competition in Mathematics and since 1962, the Vietnamese Mathematical Olympiad (VMO). On the global stage, Vietnam has also competed in the International……続きを見る

P-adic Analytic Functions describes the definition and properties of p-adic analytic and meromorphic functions in a complete algebraically closed ultrametric field.Various properties of p-adic expon……続きを見る

Collatz conjecture proof kept busy a lot of mathematician to demonstrate. An italian mathematician found the solution The conjecture of Syracuse (better known as the Collatz conjecture) is one of th……続きを見る

Die elementare Zahlentheorie befasst sich mit den Eigenschaften der natürlichen Zahlen und benötigt als Grundlage hierfür nur die Arithmetik. Sie ist ein unverzichtbarer Bestandteil des Bachelorstud……続きを見る

This is a book about Mathematics but not a book of Mathematics. It is an attempt, between the serious and facetious, of conveying the idea that a mathematical thought is the result of different expe……続きを見る

This small e-Book covers topics such as: what is Sacred Geometry. how it works, general layout of sample geometric shapes, squaring the circle, the two primary numbers in numerology, the summation(s……続きを見る

This book offers a unique account on the life and works of Srinivasa Ramanujanーoften hailed as the greatest “natural” mathematical genius. Sharing valuable insights into the many stages of Ramanuja……続きを見る

The book provides an introduction to modern abstract algebra and its applications. It covers all major topics of classical theory of numbers, groups, rings, fields and finite dimensional algebras. T……続きを見る

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. The present book con……続きを見る

An entertaining investigation of the numerical abilities of animals and our own appetite for arithmetic The philosopher Bertrand Russell once observed that realizing that a pair of apples and the pa……続きを見る

Introduction to Math Olympiad Problems aims to introduce high school students to all the necessary topics that frequently emerge in international Math Olympiad competitions. In addition to introduci……続きを見る

This book discusses special properties of integer sequences from a unique point of view. It generalizes common, well-known properties and connects them with sequences such as divisible sequences, Lu……続きを見る

Beginning graduate students in mathematical sciences and related areas in physical and computer sciences and engineering are expected to be familiar with a daunting breadth of mathematics, but few h……続きを見る

Linear algebra provides the essential mathematical tools to tackle all the problems in Science. Introduction to Linear Algebra is primarily aimed at students in applied fields (e.g. Computer Science……続きを見る

This book intends to provide material for a graduate course on computational commutative algebra and algebraic geometry, highlighting potential applications in cryptography. Also, the topics in this……続きを見る