Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic...

Prime number theory may refer to: Prime number Prime number theorem Number theory Fundamental theorem of arithmetic, which explains prime factorization...

Transcendental number theory is a branch of number theory that investigates transcendental numbers (numbers that are not solutions of any polynomial equation...

In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers....

Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations...

Additive number theory is the subfield of number theory concerning the study of subsets of integers and their behavior under addition. More abstractly...

In number theory, the partition function p(n) represents the number of possible partitions of a non-negative integer n. For instance, p(4) = 5 because...

number theory, also known as algorithmic number theory, is the study of computational methods for investigating and solving problems in number theory...

force. Thus, string theory is a theory of quantum gravity. String theory is a broad and varied subject that attempts to address a number of deep questions...

discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential...

smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime...

In number theory and combinatorics, a partition of a non-negative integer n, also called an integer partition, is a way of writing n as a sum of positive...

In mathematics, Probabilistic number theory is a subfield of number theory, which explicitly uses probability to answer questions about the integers and...

list of number theory topics. See also: List of recreational number theory topics Topics in cryptography Composite number Highly composite number Even and...

for statements in real analysis or even number theory employ techniques from complex analysis (see prime number theorem for an example). Unlike real functions...

identity, meaning that any number multiplied by 1 equals the same number. 1 is by convention not considered a prime number. In digital technology, 1 represents...

Measure theory — Model theory — Module theory — Morse theory — Nevanlinna theory — Number theory — Obstruction theory — Operator theory — Order theory — PCF...

study or usage is called arithmetic, a term which may also refer to number theory, the study of the properties of numbers. Besides their practical uses...

computational economics, computational geometry, and computational number theory and algebra. Work in this field is often distinguished by its emphasis...

algebraic number theory topics. These topics are basic to the field, either as prototypical examples, or as basic objects of study. Algebraic number field...

modern number theory include elementary number theory, analytic number theory, algebraic number theory, and geometric number theory. Elementary number theory...

year numbering, the year 1 BC is numbered 0, the year 2 BC is numbered −1, and so forth. Grammatical number Mathematical constant Number theory Peano...

Originally a part of number theory and analysis, partition theory is now considered a part of combinatorics or an independent field. Order theory is the study...

Random number generation is a process by which, often by means of a random number generator (RNG), a sequence of numbers or symbols that cannot be reasonably...

used, such as algebra texts including 0, number theory and analysis texts excluding 0, logic and set theory texts including 0, dictionaries excluding...

even number, and the Taylor series of an odd function contains only terms whose exponent is an odd number. In combinatorial game theory, an evil number is...

Gauss's lemma in number theory gives a condition for an integer to be a quadratic residue. Although it is not useful computationally, it has theoretical...

mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures)...

have application to the solution of Diophantine equations, results in number theory have been scrutinised more than in other branches of mathematics to...

In number theory, Lagrange's theorem is a statement named after Joseph-Louis Lagrange about how frequently a polynomial over the integers may evaluate...