Number theory
Number theory (or arithmetic) is a branch of pure mathematics devoted primarily to the study of the integers, sometimes called "The Queen of Mathematics" because of its foundational place in the disci...
Number theory - Wikipedia
This incredibly accurate science...
This incredibly accurate science experiment was centuries ahead of its time.
How Eratosthenes calculated the Earth's circumference
In the mid-20th century we began launching satellites into space that would help us determine the exact circumference of the Earth: 40,030 km. But over 2000 ...
The Legend of Question Six
Simon Pampena discusses the famous Question 6 from the 1988 International Mathematical Olympiad
Mathematicians Discover Prime Conspiracy
A previously unnoticed property of prime numbers seems to violate a longstanding assumption about how they behave.
Prime number with 22 million digits is the biggest ever found
The Great Internet Mersenne Prime Search has turned up another largest known prime, beating the previous record holder by nearly 5 million digits
A New Hope for a Perplexing Mathematical Proof
Three years ago, a solitary mathematician released an impenetrable proof of the famous abc conjecture. At a recent conference dedicated to the work, optimism mixed with bafflement.
The Biggest Mystery In Mathematics: Shinichi Mochizuki And The Impenetrable Proof
A Japanese mathematician claims to have solved one of the most important problems in his field. The trouble is, hardly anyone can work out whether he's right. Sometime on the morning of 30 August 201...
Analytic number theory
In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. It is often said to have begun with Peter Gustav ...
Analytic number theory - Wikipedia
Algebraic number theory
Algebraic number theory is a major branch of number theory that studies algebraic structures related to algebraic integers. This is generally accomplished by considering a ring of algebraic integers O...
Diophantine geometry
In mathematics, diophantine geometry is one approach to the theory of Diophantine equations, formulating questions about such equations in terms of algebraic geometry over a ground field K that is not...
Glossary of arithmetic and Diophantine geometry
This is a glossary of arithmetic and Diophantine geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass large parts of number theory and algebraic ge...
Glossary of arithmetic and Diophantine geometry - Wikipedia
Probabilistic number theory
Probabilistic number theory is a subfield of number theory, which explicitly uses probability to answer questions of number theory. One basic idea underlying it is that different prime numbers are, in...
Arithmetic combinatorics
In mathematics, arithmetic combinatorics is a field in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis.
Arithmetic combinatorics is about combinatorial estim...
Additive number theory
In number theory, the specialty additive number theory studies subsets of integers and their behavior under addition. More abstractly, the field of "additive number theory" includes the study of Abeli...
Computational number theory
In mathematics and computer science, computational number theory, also known as algorithmic number theory, is the study of algorithms for performing number theoretic computations. The best known probl...
Arithmetic function
In number theory, an arithmetic, arithmetical, or number-theoretic function is a real or complex valued function ƒ(n) defined on the set of natural numbers (i.e. positive integers) that "expresses som...
Continued fraction
In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing t...
Diophantine approximation
In number theory, the field of Diophantine approximation, named after Diophantus of Alexandria, deals with the approximation of real numbers by rational numbers. The first problem was to know how well...
Diophantine equation
In mathematics, a Diophantine equation is a polynomial equation, usually in two or more unknowns, such that only the integer solutions are sought or studied (an integer solution is a solution such tha...
Geometry of numbers
In number theory, the geometry of numbers studies convex bodies and integer vectors in n-dimensional space. The geometry of numbers was initiated by Hermann Minkowski (1910).The geometry of ...
Integer sequence
In mathematics, an integer sequence is a sequence (i.e., an ordered list) of integers.An integer sequence may be specified explicitly by giving a formula for its nth term, or implicitly by giving a re...
Langlands program
In mathematics, the Langlands program is a web of far-reaching and influential conjectures that relate Galois groups in algebraic number theory to automorphic forms and representation theory of algeb...
Lattice Group
Lattice Group plc was a leading British gas transmission business. It was listed on the London Stock Exchange and was a constituent of the FTSE 100 Index.
The Company was established in 2000 when ...
Lattice Group - Wikipedia
Modular arithmetic
In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus. The modern approach to modular arithmetic was develop...
Modular form
In mathematics, a modular form is a (complex) analytic function on the upper half-plane satisfying a certain kind of functional equation with respect to the group action of the modular group, and also...
Multiplicative function
In number theory, a multiplicative function is an arithmetic function f(n) of the positive integer n with the property that f(1) = 1 and whenevera and b are coprime, thenAn arithmetic function f(n) is...
Prime number
A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite n...
Prime number - Wikipedia