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Martin Huxley
Martin Neil Huxley FLSW (born in 1944) is a British mathematician, working in the field of analytic number theory. He was awarded a PhD from the University of Cambridge in 1970, the year after his supervisor Harold Davenport had died. He is a professor at Cardiff University. Huxley proved a result on gaps between prime numbers, namely that if ''p''''n'' denotes the ''n''-th prime number and if θ > 7/12, then : p_ - p_n < p_n^\theta, for all ''n''. Huxley also improved the known bound on the Dirichlet divisor problem. In 2011, Huxley was elected a

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Worksop
Worksop ( ) is a market town in the Bassetlaw District in Nottinghamshire, England. It is located south of Doncaster, south-east of Sheffield and north of Nottingham. Located close to Nottinghamshire's borders with South Yorkshire and Derbyshire, it is on the River Ryton and not far from the northern edge of Sherwood Forest. Other nearby towns include Chesterfield, Derbyshire, Chesterfield, Gainsborough, Lincolnshire, Gainsborough, Mansfield, Nottinghamshire, Mansfield and Retford. The population of the town was recorded at 44,733 in the 2021 Census. To the south of Worksop is the area of The Dukeries, the Dukeries. History Etymology Worksop was part of what was called Bernetseatte (burnt lands) in Anglo-Saxon times. The name Worksop is likely of Old English origin, deriving from a personal name "We(o)rc" plus the placename element "hop" (valley). The first element is interesting because while the masculine name Weorc is unrecorded, the feminine name Werca (Verca) is found i ...
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Inventiones Mathematicae
''Inventiones Mathematicae'' is a mathematical journal published monthly by Springer Science+Business Media. It was established in 1966 and is regarded as one of the most prestigious mathematics journals in the world. The current (2023) managing editors are Jean-Benoît Bost (University of Paris-Sud) and Wilhelm Schlag (Yale University Yale University is a Private university, private Ivy League research university in New Haven, Connecticut, United States. Founded in 1701, Yale is the List of Colonial Colleges, third-oldest institution of higher education in the United Stat ...). Abstracting and indexing The journal is abstracted and indexed in: References External links *{{Official website, https://www.springer.com/journal/222 Mathematics journals Academic journals established in 1966 English-language journals Springer Science+Business Media academic journals Monthly journals ...
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Alumni Of The University Of Cambridge
Alumni (: alumnus () or alumna ()) are former students or graduates of a school, college, or university. The feminine plural alumnae is sometimes used for groups of women, and alums (: alum) or alumns (: alumn) as gender-neutral alternatives. The word comes from Latin, meaning nurslings, pupils or foster children, derived from "to nourish". The term is not synonymous with "graduates": people can be alumni without graduating, e.g. Burt Reynolds was an alumnus of Florida State University but did not graduate. The term is sometimes used to refer to former employees, former members of an organization, former contributors, or former inmates. Etymology The Latin noun means "foster son" or "pupil". It is derived from the Latin verb "to nourish". Separate, but from the same root, is the adjective "nourishing", found in the phrase '' alma mater'', a title for a person's home university. Usage in Roman law In Latin, is a legal term (Roman law) to describe a child placed in foster ...
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Academics Of Cardiff University
Academic means of or related to an academy, an institution learning. Academic or academics may also refer to: * Academic staff, or faculty, teachers or research staff * school of philosophers associated with the Platonic Academy in ancient Greece * The Academic, Irish indie rock band * "Academic", song by New Order from the 2015 album ''Music Complete'' Other uses *Academia (other) *Academy (other) *Faculty (other) *Scholar A scholar is a person who is a researcher or has expertise in an academic discipline. A scholar can also be an academic, who works as a professor, teacher, or researcher at a university. An academic usually holds an advanced degree or a termina ...
, a person who is a researcher or has expertise in an academic discipline {{Disambiguation ...
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British Number Theorists
British may refer to: Peoples, culture, and language * British people, nationals or natives of the United Kingdom, British Overseas Territories and Crown Dependencies. * British national identity, the characteristics of British people and culture * British English, the English language as spoken and written in United Kingdom of Great Britain and Northern Ireland and, more broadly, throughout the British Isles * Celtic Britons, an ancient ethno-linguistic group * Brittonic languages, a branch of the Insular Celtic language family (formerly called British) ** Common Brittonic, an ancient language Other uses *People or things associated with: ** Great Britain, an island ** British Isles, an island group ** United Kingdom, a sovereign state ** British Empire, a historical global colonial empire ** Kingdom of Great Britain (1707–1800) ** United Kingdom of Great Britain and Ireland (1801–1922) * British Raj, colonial India under the British Empire * British Hong Kong, colonial Ho ...
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21st-century British Mathematicians
File:1st century collage.png, From top left, clockwise: Jesus is crucified by Roman authorities in Judaea (17th century painting). Four different men (Galba, Otho, Vitellius, and Vespasian) claim the title of Emperor within the span of a year; The Great Fire of Rome (18th-century painting) sees the destruction of two-thirds of the city, precipitating the empire's first persecution against Christians, who are blamed for the disaster; The Roman Colosseum is built and holds its inaugural games; Roman forces besiege Jerusalem during the First Jewish–Roman War (19th-century painting); The Trưng sisters lead a rebellion against the Chinese Han dynasty (anachronistic depiction); Boudica, queen of the British Iceni leads a rebellion against Rome (19th-century statue); Knife-shaped coin of the Xin dynasty., 335px rect 30 30 737 1077 Crucifixion of Jesus rect 767 30 1815 1077 Year of the Four Emperors rect 1846 30 3223 1077 Great Fire of Rome rect 30 1108 1106 2155 Boudican revolt ...
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Living People
Purpose: Because living persons may suffer personal harm from inappropriate information, we should watch their articles carefully. By adding an article to this category, it marks them with a notice about sources whenever someone tries to edit them, to remind them of WP:BLP (biographies of living persons) policy that these articles must maintain a neutral point of view, maintain factual accuracy, and be properly sourced. Recent changes to these articles are listed on Special:RecentChangesLinked/Living people. Organization: This category should not be sub-categorized. Entries are generally sorted by family name In many societies, a surname, family name, or last name is the mostly hereditary portion of one's personal name that indicates one's family. It is typically combined with a given name to form the full name of a person, although several give .... Maintenance: Individuals of advanced age (over 90), for whom there has been no new documentation in the last ten ...
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Dirichlet Divisor Problem
In number theory, the divisor summatory function is a function that is a sum over the divisor function. It frequently occurs in the study of the asymptotic behaviour of the Riemann zeta function. The various studies of the behaviour of the divisor function are sometimes called divisor problems. Definition The divisor summatory function is defined as :D(x)=\sum_ d(n) = \sum_ 1 where :d(n)=\sigma_0(n) = \sum_ 1 is the divisor function. The divisor function counts the number of ways that the integer ''n'' can be written as a product of two integers. More generally, one defines :D_k(x)=\sum_ d_k(n)= \sum_\sum_ d_(n) where ''d''''k''(''n'') counts the number of ways that ''n'' can be written as a product of ''k'' numbers. This quantity can be visualized as the count of the number of lattice points fenced off by a hyperbolic surface in ''k'' dimensions. Thus, for ''k'' = 2, ''D''(''x'') = ''D''2(''x'') counts the number of points on a square lattice bounded on the left by the v ...
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Sufficiently Large
In the mathematical areas of number theory and analysis, an infinite sequence or a function is said to eventually have a certain property, if it does not have the said property across all its ordered instances, but will after some instances have passed. The use of the term "eventually" can be often rephrased as "for sufficiently large numbers", and can be also extended to the class of properties that apply to elements of any ordered set (such as sequences and subsets of \mathbb). Notation The general form where the phrase eventually (or sufficiently large) is found appears as follows: :P is ''eventually'' true for x (P is true for ''sufficiently large'' x), where \forall and \exists are the universal and existential quantifiers, which is actually a shorthand for: :\exists a \in \mathbb such that P is true \forall x \ge a or somewhat more formally: :\exists a \in \mathbb: \forall x \in \mathbb:x \ge a \Rightarrow P(x) This does not necessarily mean that any particular ...
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Gaps Between Prime Numbers
A prime gap is the difference between two successive prime numbers. The ''n''-th prime gap, denoted ''g''''n'' or ''g''(''p''''n'') is the difference between the (''n'' + 1)-st and the ''n''-th prime numbers, i.e., :g_n = p_ - p_n. We have ''g''1 = 1, ''g''2 = ''g''3 = 2, and ''g''4 = 4. The sequence (''g''''n'') of prime gaps has been extensively studied; however, many questions and conjectures remain unanswered. The first 60 prime gaps are: :1, 2, 2, 4, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 6, 6, 2, 10, 2, 4, 2, 12, 12, 4, 2, 4, 6, 2, 10, 6, 6, 6, 2, 6, 4, 2, ... . By the definition of ''g''''n'' every prime can be written as :p_ = 2 + \sum_^n g_i. Simple observations The first, smallest, and only odd prime gap is the gap of size 1 between 2, the only even prime number, and 3, the first odd prime. All other prime gaps are even. There is only one pair of consecutive gaps having length 2: the gap ...
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematical model, models, and mathematics#Calculus and analysis, change. History One of the earliest known mathematicians was Thales of Miletus (); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem. The number of known mathematicians grew when Pythagoras of Samos () established the Pythagorean school, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman math ...
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