Number theory

This is the second in a series of three volumes dealing with important topics in algebra.

This book contains a complete detailed description of two classes of special numbers closely related to classical problems of the Theory of Primes.

This volume presents a panorama of the diverse activities organized by V.

This is a book about Mathematics but not a book of Mathematics.

For a long time, all thought there was only one geometry - Euclidean geometry.

This self-contained book is an exposition of the fundamental ideas of model theory.

P-adic Analytic Functions describes the definition and properties of p-adic analytic and meromorphic functions in a complete algebraically closed ultrametric field.

Based on the successful 7th China-Japan seminar on number theory conducted in Kyushu University, this volume is a compilation of survey and semi-survey type of papers by the participants of the seminar.

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

This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations.

This book deals with the development of Diophantine problems starting with Thue's path breaking result and culminating in Roth's theorem with applications.

Natural numbers are the oldest human inventions.

Prime Numbers, Friends Who Give Problems is written as a trialogue, with two persons who are interested in prime numbers asking the author, Papa Paulo, intelligent questions.

This volume is an outgrowth of the program Modular Representation Theory of Finite and p-Adic Groups held at the Institute for Mathematical Sciences at National University of Singapore during the period of 1-26 April 2013.

This book is a comprehensive treatise on the partial toroidal and minimal compactifications of the ordinary loci of PEL-type Shimura varieties and Kuga families, and on the canonical and subcanonical extensions of automorphic bundles.

The book first explains the main properties of analytic functions in order to use them in the study of various problems in p-adic value distribution.

This resource volume is an enlargement as well as an update of the previous edition.

This volume consists of a selection of research-type articles on dynamical systems, evolution equations, analytic number theory and closely related topics.

This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view.

This unique volume presents a fruitful and beautiful mathematical world hidden in Caianiello's neuronic equations, which describe the instantaneous behavior of a model of a brain or thinking machine.

This book discusses special properties of integer sequences from a unique point of view.

This book gathers original research papers and survey articles presented at the "e;International Conference on Class Groups of Number Fields and Related Topics,"e; held at Harish-Chandra Research Institute, Allahabad, India, on September 4-7, 2017.

The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are studied.

This volume is the result of the author's many-years of research in this field.

This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates.

This book stems from lectures that were delivered at the three-week Advanced Instructional School on Ergodic Theory and Dynamical Systems held at the Indian Institute of Technology Delhi, from 4-23 December 2017, with the support of the National Centre for Mathematics, National Board for Higher Mathematics, Department of Atomic Energy, Government of India.

The selected contributions in this volume originated at the Sundance conference, which was devoted to discussions of current work in the area of free resolutions.

This book offers an essential textbook on complex analysis.

This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory.

The binomial transform is a discrete transformation of one sequence into another with many interesting applications in combinatorics and analysis.

From Polynomials to Sums of Squares describes a journey through the foothills of algebra and number theory based around the central theme of factorization.

From Polynomials to Sums of Squares describes a journey through the foothills of algebra and number theory based around the central theme of factorization.

The chapters in this contributed volume explore new results and existing problems in algebra, analysis, and related topics.

This proceedings volume, the fifth in a series from the Combinatorial and Additive Number Theory (CANT) conferences, is based on talks from the 19th annual workshop, held online due to the COVID-19 pandemic.

Linear Algebra: Algorithms, Applications, and Techniques, Fourth Edition offers a modern and algorithmic approach to computation while providing clear and straightforward theoretical background information.

Number theory is one of the oldest branches of pure mathematics, and one of the largest.

Algebra, as we know it today, consists of many different ideas, concepts and results.

Ancient times witnessed the origins of the theory of continued fractions.

Differential Geometry and Its Visualization is suitable for graduate level courses in differential geometry, serving both students and teachers.

Differential Geometry and Its Visualization is suitable for graduate level courses in differential geometry, serving both students and teachers.

Ancient times witnessed the origins of the theory of continued fractions.

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

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

The book intends to give a modern presentation of the classical Markov and Lagrange spectrum, which are fundamental objects from the theory of Diophantine approximations and of their several generalizations related to Dynamical Systems and Differential Geometry.

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-including the establishment of Tata Institute of Fundamental Research (TIFR), Mumbai, a landmark event in the history of research of number theory in India.

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.

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 tells the story of the Riemann hypothesis for function fields (or curves) starting with Artin's 1921 thesis, covering Hasse's work in the 1930s on elliptic fields and more, and concluding with Weil's final proof in 1948.