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Adam Harper
Adam Harper is a mathematician specialising in number theory, particularly in analytic, combinatorial and probabilistic number theory, and serving as Professor with University of Warwick, England. Harper was awarded the SASTRA Ramanujan Prize in 2019 "for several outstanding contributions to analytic and probabilistic number theory." This annual prize is awarded for outstanding contributions by individuals not exceeding the age of 32 in areas of mathematics influenced by Srinivasa Ramanujan. The age limit has been set at 32 because Ramanujan died at the age of 32 years. "Harper's research, both individually and in collaboration, covers the theory of the Riemann zeta function, random multiplicative functions, S-unit equations, smooth numbers, the large sieve, and the recent highly innovative "pretentious" approach to number theory. In establishing these results, he has shown mastery over probabilistic methods which he has used with remarkable effect in analytic number theory." ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lowestoft
Lowestoft ( ) is a coastal town and civil parish in the East Suffolk district of Suffolk, England.OS Explorer Map OL40: The Broads: (1:25 000) : . As the most easterly UK settlement, it is north-east of London, north-east of Ipswich and south-east of Norwich, and the main town in its district. The estimated population in the built-up area exceeds 70,000. Its development grew with the fishing industry and as a seaside resort with wide sandy beaches. As fishing declined, oil and gas exploitation in the North Sea in the 1960s took over. While these too have declined, Lowestoft is becoming a regional centre of the renewable energy industry. History Some of the earliest signs of settlement in Britain have been found here. Flint tools discovered in the Pakefield cliffs of south Lowestoft in 2005 allow human habitation of the area to be traced back 700,000 years.S. Parfitt et al. (2006'700,000 years old: found in Pakefield', ''British Archaeology'', January/February 2006. Retrieve ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Smooth Number
In number theory, an ''n''-smooth (or ''n''-friable) number is an integer whose prime factors are all less than or equal to ''n''. For example, a 7-smooth number is a number whose every prime factor is at most 7, so 49 = 72 and 15750 = 2 × 32 × 53 × 7 are both 7-smooth, while 11 and 702 = 2 × 33 × 13 are not 7-smooth. The term seems to have been coined by Leonard Adleman. Smooth numbers are especially important in cryptography, which relies on factorization of integers. The 2-smooth numbers are just the powers of 2, while 5-smooth numbers are known as regular numbers. Definition A positive integer is called B-smooth if none of its prime factors are greater than B. For example, 1,620 has prime factorization 22 × 34 × 5; therefore 1,620 is 5-smooth because none of its prime factors are greater than 5. This definition includes numbers that lack some of the smaller prime factors; for example, both 10 and 12 are 5-smooth, even though they miss out the prime factors 3 and 5, resp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Number Theorists
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 integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes or other number-theoretic objects in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Probability Theory
Probability theory is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set of axioms. Typically these axioms formalise probability in terms of a probability space, which assigns a measure taking values between 0 and 1, termed the probability measure, to a set of outcomes called the sample space. Any specified subset of the sample space is called an event. Central subjects in probability theory include discrete and continuous random variables, probability distributions, and stochastic processes (which provide mathematical abstractions of non-deterministic or uncertain processes or measured quantities that may either be single occurrences or evolve over time in a random fashion). Although it is not possible to perfectly predict random events, much can be said about their behavior. Two major results in probability ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jesus College, Cambridge
Jesus College is a constituent college of the University of Cambridge. The college's full name is The College of the Blessed Virgin Mary, Saint John the Evangelist and the glorious Virgin Saint Radegund, near Cambridge. Its common name comes from the name of its chapel, Jesus Chapel. Jesus College was established in 1496 on the site of the twelfth-century Benedictine nunnery of St Mary and St Radegund by John Alcock, then Bishop of Ely. The cockerel is the symbol of Jesus College, after the surname of its founder. For the 300 years from 1560 to 1860, Jesus College was primarily a training college for Church of England clergy. Jesus College has assets of approximately £344m making it Cambridge's fourth-wealthiest college. The college is known for its particularly expansive grounds which include its sporting fields and for its close proximity to its boathouse. Three members of Jesus College have received a Nobel Prize. Two fellows of the college have been appointed to the I ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Centre De Recherches Mathématiques
The Centre de recherches mathématiques (CRM) is the first mathematical research institute in Canada, located at the Université de Montréal. The CRM has ten research laboratories, one in each of: mathematical analysis, number theory and symbolic computation, differential geometry and topology, discrete mathematics and combinatorics, applied mathematics, neuroimaging, mathematical physics, statistics, probability theory and quantum computing. Each year it awards four of the main mathematical sciences prizes in Canada: the CRM-Fields-PIMS prize, which is the most prestigious award given in Canada in mathematics; the Aisenstadt Prize, awarded to a young outstanding Canadian mathematician; the CRM-SSC Prize, at the CRM website awarded in collaboration with the |
Smith's Prize
The Smith's Prize was the name of each of two prizes awarded annually to two research students in mathematics and theoretical physics at the University of Cambridge from 1769. Following the reorganization in 1998, they are now awarded under the names Smith-Knight Prize and Rayleigh-Knight Prize. History The Smith Prize fund was founded by bequest of Robert Smith upon his death in 1768, having by his will left £3,500 of South Sea Company stock to the University. Every year two or more junior Bachelor of Arts students who had made the greatest progress in mathematics and natural philosophy were to be awarded a prize from the fund. The prize was awarded every year from 1769 to 1998 except 1917. From 1769 to 1885, the prize was awarded for the best performance in a series of examinations. In 1854 George Stokes included an examination question on a particular theorem that William Thomson had written to him about, which is now known as Stokes' theorem. T. W. Körner notes Only a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cambridge University
, mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Scholars of the University of Cambridge , type = Public research university , endowment = £7.121 billion (including colleges) , budget = £2.308 billion (excluding colleges) , chancellor = The Lord Sainsbury of Turville , vice_chancellor = Anthony Freeling , students = 24,450 (2020) , undergrad = 12,850 (2020) , postgrad = 11,600 (2020) , city = Cambridge , country = England , campus_type = , sporting_affiliations = The Sporting Blue , colours = Cambridge Blue , website = , logo = University of Cambridge logo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
MMath
A Master of Mathematics (or MMath) degree is a specific advanced integrated Master's degree for courses in the field of mathematics. United Kingdom In the United Kingdom, the MMath is the internationally recognized standard qualification after a four-year course in mathematics at a university. The MMath programme was set up by most leading universities after the '' Neumann Report'' in 1992. It is classed as a level 7 qualification in the Frameworks of Higher Education Qualifications of UK Degree-Awarding Bodies. The UCAS course codes for the MMath degrees start at ''G100'' upwards, most courses taking the codes ''G101 - G104''. Universities which offer MMath degrees include: *Aberystwyth University *University of Bath *University of Bristol (MSci) *Brunel University *University of Birmingham (MSci) *Cardiff University *University of CambridgeIn Cambridge the MMath was first awarded in 2011 after a four year course. The fourth year is identical with the Master of Advanced Study in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Large Sieve
The large sieve is a method (or family of methods and related ideas) in analytic number theory. It is a type of sieve where up to half of all residue classes of numbers are removed, as opposed to small sieves such as the Selberg sieve wherein only a few residue classes are removed. The method has been further heightened by the larger sieve which removes arbitrarily many residue classes. Name Its name comes from its original application: given a set S \subset \ such that the elements of ''S'' are forbidden to lie in a set ''Ap'' ⊂ Z/''p'' Z modulo every prime ''p'', how large can ''S'' be? Here ''A''''p'' is thought of as being large, i.e., at least as large as a constant times ''p''; if this is not the case, we speak of a ''small sieve''. History The early history of the large sieve traces back to work of Yu. B. Linnik, in 1941, working on the problem of the least quadratic non-residue. Subsequently Alfréd Rényi worked on it, using probability methods. It was only two deca ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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