Number Theory

This monograph elucidates and extends many theorems and conjectures in analytic number theory and algebraic asymptotic analysis via the natural not...

This is an invaluable book that presents the original work published in French, in 1904, by Henry Leon Lebesgue, the creator of the theory of integ...

This book continues the applications of mathematics, more specifically of theta, eta, and zeta functions, and modular forms, to various areas of th...

The two works titled What Are and What Should the Numbers Be? (1888) and Continuity and Irrational Numbers (1872) are Dedekind's contributions to t...

The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutat...

Although the Lucas sequences were known to earlier investigators such as Lagrange, Legendre and Genocchi, it is because of the enormous number and ...

This monograph explores the finiteness and structure of Shafarevich-Tate groups of abelian varieties over global fields of any characteristic. Read...

Understanding the natural numbers, which we use to count things, comes naturally. Meanwhile, the real numbers, which include a wide range of number...

Understanding the natural numbers, which we use to count things, comes naturally. Meanwhile, the real numbers, which include a wide range of number...

This volume contains the proceedings of the 2019 Lluis A. Santalo Summer School on $p$-Adic Analysis, Arithmetic and Singularities, which was held ...

Mathematical Theory of Fuzzy Sets presents the mathematical theory of non-normal fuzzy sets such that it can be rigorously used as a basic tool to ...

Our grasp of numbers and uncertainty is one of humankind's most distinctive and important traits. It is pivotal to our exceptional ability to contr...

Elementary Number Theory takes an accessible approach to teaching students about the role of number theory in pure mathematics and its important ap...

Originally published in 1994, The Incommensurability Thesis is a critical study of the Incommensurability Thesis of Thomas Kuhn and Paul Feyerabend...

A selection of the most accessible survey papers from the Millennial Conference on Number Theory. Presented and compiled by a group of internationa...

This book is an introduction to the theory of algebraic numbers and algebraic functions of one variable. The basic development is the same for bot...