Titchmarsh Castle
Titchmarsh may refer to: * Titchmarsh, Northamptonshire, a village in England *Alan Titchmarsh (born 1949), English celebrity gardener, writer and broadcaster **'' The Alan Titchmarsh Show'' *Charles Titchmarsh (1881–1930), English cricketer *Edward Charles Titchmarsh (1899–1963), English mathematician **Titchmarsh theorem (other) **Titchmarsh convolution theorem ** Brun–Titchmarsh theorem *Valentine Titchmarsh Valentine Adolphus Titchmarsh (14 February 1853 – 11 October 1907) was a first-class cricketer and Test match umpire. Born in 1853 in Hertfordshire, he played eight matches for Marylebone Cricket Club and others between 1885 and 1891 as a ...

Titchmarsh, Northamptonshire
Titchmarsh is a village and civil parish in North Northamptonshire, England. The 2001 census recorded a parish population of 543 people, increasing to 598 at the 2011 Census. History The village's name means 'Young goat marsh'. Maybe, perhaps, 'marsh of Ticcea'. Titchmarsh Castle was in fact a fortified manor house with a moat. Sir John Lovel received a licence to crenellate it in 1304 but it was in ruins by 1363. The Church of England parish church of Saint Mary may originally have been 12th century, as a Norman doorway of that date survives in the chancel. The doorway is not in its original position but has been re-set. The north aisle and arcade are 13th century. The ornate Perpendicular Gothic bell-tower is notable. Dr. F.J. Allen, who was an authority on the notable late medieval Somerset towers, described St. Mary's tower as ''"the finest parish church tower in England outside Somerset"''. The tower, including the pinnacles, is 103 feet (31 metres) high. Many of St. Mar ...
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Alan Titchmarsh
Alan Fred Titchmarsh HonFSE (born 2 May 1949) is an English gardener, broadcaster, TV presenter, poet, and novelist. After working as a professional gardener and a gardening journalist, he established himself as a media personality through appearances on television gardening programmes. He has developed a diverse writing and broadcasting career. Early career Alan Fred Titchmarsh was born on 2 May 1949 in Ilkley, West Riding of Yorkshire, England. He is the son of Bessie (''née'' Hardisty), a textile mill worker, and Alan Fred Titchmarsh senior, a plumber. In 1964, after leaving school at 15, with one O-level in Art, Titchmarsh went to work as an apprentice gardener with Ilkley Council, before leaving in 1968, at 18, for Shipley Art and Technology Institute in Shipley in the West Riding of Yorkshire to study for a City and Guilds in horticulture. Titchmarsh went on to study at Hertfordshire College of Agriculture and Horticulture for the National Certificate in Horticultu ...
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The Alan Titchmarsh Show
''The Alan Titchmarsh Show'' is a British daytime chat show presented by Alan Titchmarsh. It was first broadcast on ITV on 3 September 2007 until 14 November 2014 and aired on weekday afternoons. The show's main focus is the "Best of British" theme with many of the shows' segments focusing on fashion, health, nature, cookery and animals. On 18 March 2014, Titchmarsh announced that he was leaving the show. The last episode aired on 14 November 2014. Format The programme made its debut on ITV in 2007. It focused on the theme of "The Best of British" focusing on food, entertainment and celebrities in a mid-afternoon slot. The focus of the show later shifted towards gossip, entertainment and a light-hearted discussion of sex tips. The latter was dropped after viewer complaints and a shift to a late afternoon 5 pm slot in 2010. The show usually opened with a review of gossip and current affairs stories of the day with regular guests including Gloria Hunniford, Carole Malone, Pen ...
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Charles Titchmarsh
Charles Harold Titchmarsh (18 February 1881 – 23 May 1930) was an English cricketer active in first-class cricket from 1920 to 1928, but was mostly associated with minor counties cricket where he played for Hertfordshire. Early life Born at Royston, Hertfordshire, Titchmarsh was educated at the Nonconformist College at Bishop's Stortford, where he spent two years in the cricket XI. He made his debut for Hertfordshire in the 1900 Minor Counties Championship against Cambridgeshire at Fenner's. Titchmarsh played just once for the county in 1900, while the following year he made four appearances. He met with success in 1906, averaging 44, and up until the 1914 season he had only one poor season, in 1909 when he scored only 141 runs in seventeen innings. In all matches in 1913 (most of them club matches, and none of them first-class) he scored 4016 runs at an average of 62.75, with 21 centuries. First-class cricket Titchmarsh played for Hertfordshire following the First W ...
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Edward Charles Titchmarsh
Edward Charles "Ted" Titchmarsh (June 1, 1899 – January 18, 1963) was a leading British mathematician. Education Titchmarsh was educated at King Edward VII School (Sheffield) and Balliol College, Oxford, where he began his studies in October 1917. Career Titchmarsh was known for work in analytic number theory, Fourier analysis and other parts of mathematical analysis. He wrote several classic books in these areas; his book on the Riemann zeta-function was reissued in an edition edited by Roger Heath-Brown. Titchmarsh was Savilian Professor of Geometry at the University of Oxford from 1932 to 1963. He was a Plenary Speaker at the ICM in 1954 in Amsterdam. He was on the governing body of Abingdon School from 1935-1947. Awards *Fellow of the Royal Society, 1931 *De Morgan Medal, 1953 *Sylvester Medal The Sylvester Medal is a bronze medal awarded by the Royal Society (London) for the encouragement of mathematical research, and accompanied by a £1,000 prize. It was named ...
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Titchmarsh Theorem (other)
In mathematics, particularly in the area of Fourier analysis, the Titchmarsh theorem may refer to: * The Titchmarsh convolution theorem The Titchmarsh convolution theorem describes the properties of the support of the convolution of two functions. It was proven by Edward Charles Titchmarsh in 1926. Titchmarsh convolution theorem If \varphi(t)\, and \psi(t) are integrable function ... * The theorem relating real and imaginary parts of the boundary values of a H''p'' function in the upper half-plane with the Hilbert transform of an L''p'' function. See Hilbert transform#Titchmarsh's theorem. {{mathdab ...
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Titchmarsh Convolution Theorem
The Titchmarsh convolution theorem describes the properties of the support of the convolution of two functions. It was proven by Edward Charles Titchmarsh in 1926. Titchmarsh convolution theorem If \varphi(t)\, and \psi(t) are integrable functions, such that :\varphi * \psi = \int_0^x \varphi(t)\psi(x-t)\,dt=0 almost everywhere in the interval 0, then there exist $\backslash lambda\backslash geq0$ and $\backslash mu\backslash geq0$ satisfying $\backslash lambda+\backslash mu\backslash ge\backslash kappa$ such that $\backslash varphi(t)=0\backslash ,$ almost everywhere in
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Brun–Titchmarsh Theorem
In analytic number theory, the Brun–Titchmarsh theorem, named after Viggo Brun and Edward Charles Titchmarsh, is an upper bound on the distribution of prime numbers in arithmetic progression. Statement Let \pi(x;q,a) count the number of primes ''p'' congruent to ''a'' modulo ''q'' with ''p'' ≤ ''x''. Then :\pi(x;q,a) \le for all ''q'' < ''x''.

History

The result was proven by sieve methods by Montgomery and Vaughan; an earlier result of Brun and Titchmarsh obtained a weaker version of this inequality with an additional multiplicative factor of $1+o(1)$.

Improvements

If ''q'' is relatively small, e.g., $q\backslash le\; x^$, then there exists a better bound: :$\backslash pi(x;q,a)\backslash le$ This is due to Y. Motohashi (1973). He used a bilinear structure in the error term in the