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1. 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 Lejeune Dirichlet's 1837 introduction of Dirichlet ... (Exploring properties of the integers with complex analysis) [100%] 2023-10-01 [Analytic number theory]
2. Analytic number theory: A branch of number theory. Analytic number theory deals with the problems of distribution of primes, studies the behaviour of number-theoretic functions, and the theory of algebraic and transcendental numbers. (Mathematics) [100%] 2023-10-18 [Number theory]
3. Abstract analytic number theory: The central concept in abstract analytic number theory is that of an arithmetical semi-group $G$ (defined below). It turns out that the study of such semi-groups and of (real- or complex-valued) functions on them makes it possible ... (Mathematics) [86%] 2023-08-18
4. Abstract analytic number theory: Abstract analytic number theory is a branch of mathematics which takes the ideas and techniques of classical analytic number theory and applies them to a variety of different mathematical fields. The classical prime number theorem serves as a prototypical example ... [86%] 2024-01-09 [Algebraic number theory] [Analytic number theory]...
5. Theorem: A theorem is a statement that can be proven via logic which generally stems from a collection of postulates or axioms. They have been in use since Euclidean geometry as the basis of geometrical facts. [84%] 2023-02-21 [Mathematics]
6. Theorem: In logic, a theorem is formally meant to be a formula that can be transformed by applying inferential rules to axioms in a deductive system. This formal notion of proofs in logic is crucial in fields such as proof theory ... [84%] 2023-02-03
7. Theorem: In mathematics, a theorem is a statement that has been proved, or can be proved. The proof of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a ... (In mathematics, a statement that has been proved) [84%] 2023-09-23 [Theorems] [Logical consequence]...
8. Theorem: A mathematical statement whose truth has been established by means of a proof. The concept of a theorem developed and became more precise together with the concept of a mathematical proof. (Mathematics) [84%] 2023-10-18
9. Analytic Fredholm theorem: In mathematics, the analytic Fredholm theorem is a result concerning the existence of bounded inverses for a family of bounded linear operators on a Hilbert space. It is the basis of two classical and important theorems, the Fredholm alternative and ... [83%] 2022-10-06 [Theorems in functional analysis] [Theorems in complex analysis]...
10. Theorum: Theorum (rhymes with decorum, apparently) is a neologism proposed by Richard Dawkins in The Greatest Show on Earth to distinguish the scientific meaning of theory from the colloquial meaning. In most of the opening introduction to the show, he substitutes ... [83%] 2024-01-05 [Neologisms] [Language]...
11. Fundamental theorem of ideal theory in number fields: . [81%] 2023-05-28
12. Prime Number Theorem: The Prime Number Theorem is one of the most famous theorems in mathematics. It states that the number of primes not exceeding n is asymptotic to , where log(n) is the logarithm of (n) to the base e. [81%] 2023-02-09 [Number Theory]
13. Odd number theorem: The odd number theorem is a theorem in strong gravitational lensing which comes directly from differential topology. The theorem states that the number of multiple images produced by a bounded transparent lens must be odd. (Physics) [81%] 2024-01-19 [Gravitational lensing] [Physics theorems]...
14. Prime Number Theorem: The list of prime numbers suggests that they thin out the further you go: 44% of the one-digit numbers are prime, but only 23% of the two-digit numbers and 16% of the three-digit numbers. The trial division ... [81%] 2023-10-17
15. Prime number theorem: In mathematics, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers among the positive integers. It formalizes the intuitive idea that primes become less common as they become larger by precisely quantifying the rate at which ... (Characterization of how many integers are prime) [81%] 2024-03-04 [Logarithms] [Theorems about prime numbers]...
16. Prime number theorem: In mathematics, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers among the positive integers. It formalizes the intuitive idea that primes become less common as they become larger by precisely quantifying the rate at which ... (Characterization of how many integers are prime) [81%] 2024-11-07 [Logarithms] [Theorems about prime numbers]...
17. Number theory: The science of integers (cf. also Integer). (Mathematics) [79%] 2023-10-17
18. Number theory: Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Any attempt to conduct such a study naturally leads to an examination of the properties of prime numbers (the building blocks of integers) as ... [79%] 2023-06-11 [Number theory]
19. Number Theory: "Mathematics is the queen of the sciences and number theory is the queen of mathematics." —Gauss This topic is about Number Theory, or in simple language study of properties of integers. Number theory is the branch of pure mathematics concerned ... [79%] 2023-12-13 [Secondary Math Courses]
20. Number theory: Number theory is a branch of mathematics involving the study of the properties and relationships of numbers. Number theory typically deals only with integers (as opposed to all real numbers). [79%] 2023-06-30 [Number Theory]