In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers... 27 KB (3,814 words) - 16:25, 7 April 2024 |
Abstract analytic number theory is a branch of mathematics which takes the ideas and techniques of classical analytic number theory and applies them to... 8 KB (1,199 words) - 08:58, 7 November 2023 |
Abstract analytic number theory, the application of ideas and techniques from analytic number theory to other mathematical fields Analytic combinatorics... 5 KB (583 words) - 14:39, 20 March 2023 |
largest proper divisor of n can be no larger than n/2. Abstract analytic number theory for information about generalizations of the theorem. Landau prime... 58 KB (8,178 words) - 23:37, 2 April 2024 |
Complex analysis (redirect from Theory of analytic functions) in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, and applied mathematics, as well as in physics,... 18 KB (2,517 words) - 14:08, 22 April 2024 |
Gamma function (redirect from Complex number factorial) gegebenen Größe" ("On the Number of Primes Less Than a Given Magnitude"), one of the milestones in the development of analytic number theory—the branch of mathematics... 90 KB (13,397 words) - 05:21, 21 April 2024 |
Multiplicative number theory is a subfield of analytic number theory that deals with prime numbers and with factorization and divisors. The focus is usually... 3 KB (431 words) - 03:10, 1 January 2023 |
Heini Halberstam (category Number theorists) was a Czech-born British mathematician, working in the field of analytic number theory. He is remembered in part for the Elliott–Halberstam conjecture... 5 KB (434 words) - 13:40, 21 September 2023 |
Erdős–Kac theorem on additive functions. Number theory Analytic number theory Areas of mathematics List of number theory topics List of probability topics Probabilistic... 2 KB (180 words) - 22:03, 4 October 2023 |
by either analytic methods such as Liouville's theorem, or topological ones such as the winding number, or a proof combining Galois theory and the fact... 89 KB (11,600 words) - 07:03, 25 April 2024 |
Terence Tao (category Number theorists) combinatorics, geometric combinatorics, probability theory, compressed sensing and analytic number theory. Tao was born to Chinese immigrant parents and raised... 76 KB (6,531 words) - 22:56, 24 April 2024 |
analytic Eisenstein series is a special function of two variables. It is used in the representation theory of SL(2,R) and in analytic number theory.... 6 KB (1,030 words) - 19:12, 8 July 2019 |
Transcendental number theory is a branch of number theory that investigates transcendental numbers (numbers that are not solutions of any polynomial equation... 28 KB (3,842 words) - 02:42, 27 December 2023 |
June 1987) is an English mathematician working in analytic number theory and in particular the theory of prime numbers. In 2017, he was appointed Research... 15 KB (1,202 words) - 22:10, 6 March 2024 |
holomorphic modular newform." Jacob Tsimerman – "For outstanding work in analytic number theory and arithmetic geometry, including breakthroughs on the André–Oort... 18 KB (1,137 words) - 12:20, 27 September 2023 |
L-function (section Rise of the general theory) generalization. The theory of L-functions has become a very substantial, and still largely conjectural, part of contemporary analytic number theory. In it, broad... 8 KB (984 words) - 21:00, 7 March 2024 |
list of number theory topics. See also: List of recreational number theory topics Topics in cryptography Composite number Highly composite number Even and... 10 KB (934 words) - 23:41, 19 July 2023 |
Analytic philosophy is a broad, contemporary movement or tradition within Western philosophy and especially anglophone philosophy focused on analysis.... 91 KB (10,435 words) - 07:09, 25 April 2024 |
Pi (redirect from Ludolph transcendental number) Borwein, Jonathan; Borwein, Peter (1987). Pi and the AGM: a Study in Analytic Number Theory and Computational Complexity. Wiley. ISBN 978-0-471-31515-5. Bailey... 145 KB (17,361 words) - 05:23, 22 April 2024 |
Bernhard Riemann (section Number theory) the Riemann hypothesis, is regarded as a foundational paper of analytic number theory. Through his pioneering contributions to differential geometry,... 26 KB (2,917 words) - 08:21, 28 March 2024 |
Möbius function (section Algebraic number theory) transliterated Moebius) in 1832. It is ubiquitous in elementary and analytic number theory and most often appears as part of its namesake the Möbius inversion... 22 KB (2,663 words) - 21:50, 27 March 2024 |
Closed-form expression (redirect from Analytic solution) important sub-class of analytic expressions, which contain a finite number of applications of well-known functions. Unlike the broader analytic expressions, the... 16 KB (1,881 words) - 06:00, 14 April 2024 |
Henryk Iwaniec (category Number theorists) Academy of Sciences. He has made important contributions to analytic and algebraic number theory as well as harmonic analysis. He is the recipient of Cole... 10 KB (861 words) - 17:55, 23 November 2023 |
In additive number theory, the Fermat polygonal number theorem states that every positive integer is a sum of at most n n-gonal numbers. That is, every... 4 KB (434 words) - 20:22, 17 April 2023 |
Exponential sum (category Analytic number theory) certainly useful in applications. A large part of twentieth century analytic number theory was devoted to finding good estimates for these sums, a trend started... 8 KB (1,178 words) - 11:27, 16 August 2023 |
Fields Medal for his synthesis of analytic number theory, homogeneous dynamics, topology, and representation theory. He is the second Australian and the... 22 KB (1,981 words) - 15:57, 23 April 2024 |
Roger Heath-Brown (category Number theorists) October 1952) is a British mathematician working in the field of analytic number theory. He was an undergraduate and graduate student of Trinity College... 9 KB (726 words) - 23:22, 30 December 2023 |