|
Albert Ingham
Albert Edward Ingham (3 April 1900 – 6 September 1967) was an English mathematician. Early life and education Ingham was born in Northampton. He went to Stafford Grammar School and began his studies at Trinity College, Cambridge in January 1919 after service in the British Army in World War I. Ingham received a distinction as a Wrangler in the Mathematical Tripos at Cambridge. He was elected a fellow of Trinity in 1922. He also received an 1851 Research Fellowship. Academic career Ingham was appointed a Reader at the University of Leeds in 1926 and returned to Cambridge as a fellow of King's College and lecturer in 1930. Ingham was appointed after the death of Frank Ramsey. Ingham supervised the PhDs of C. Brian Haselgrove, Wolfgang Fuchs and Christopher Hooley. Ingham proved in 1937 that if :\zeta\left(1/2+it\right)=O\left(t^c\right) for some positive constant ''c'', then :\pi\left(x+x^\theta\right)-\pi(x)\sim\frac, for any θ > (1+4c)/(2+4c). Here ζ denotes the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Northampton
Northampton ( ) is a town and civil parish in Northamptonshire, England. It is the county town of Northamptonshire and the administrative centre of the Unitary authorities of England, unitary authority of West Northamptonshire. The town is situated on the River Nene, north-west of London and south-east of Birmingham. Northampton is one of the largest towns in England; the population of its overall urban area was recorded as 249,093 in the 2021 United Kingdom census, 2021 census. The parish of Northampton alone had 137,387. Archaeological evidence of settlement in the area dates to the Bronze Age Britain, Bronze Age, Roman conquest of Britain, Romans and Anglo-Saxons, Anglo-Saxons. In the Middle Ages, the town rose to national significance with the establishment of Northampton Castle, an occasional royal residence which regularly hosted the Parliament of England. Medieval Northampton had many churches, monasteries and the University of Northampton (thirteenth century), Univers ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Reader (academic Rank)
The title of reader in the United Kingdom and some universities in the Commonwealth of Nations, for example India, Australia and New Zealand, denotes an appointment for a senior academic with a distinguished international reputation in research or scholarship. In the traditional hierarchy of British and other Commonwealth universities, reader (and principal lecturer in the new universities) are academic ranks above senior lecturer and below Chaired Professor, recognising a distinguished record of original research. Reader is a professor without a chair, similar to the distinction between professor and chaired professor in Hong Kong and between ''professor extraordinarius and'' ''professor ordinarius'' at some European universities. Readership is one/two rank(s) more prestigious than senior/permanent Lecturership, which translate to Associate/Assistant Professorship. Readers in the UK would correspond to the start of full professors in China and the United States.Graham WebbMak ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
British Army Personnel Of World War I
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alumni Of Trinity College, 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 foste ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Academics Of The University Of Leeds , a person who is a researcher or has expertise in an academic discipline
{{Disambiguation ...
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1967 Deaths
Events January * January 1 – Canada begins a year-long celebration of the 100th anniversary of Canadian Confederation, Confederation, featuring the Expo 67 World's Fair. * January 6 – Vietnam War: United States Marine Corps and Army of the Republic of Vietnam troops launch ''Operation Deckhouse Five'' in the Mekong Delta. * January 8 – Vietnam War: Operation Cedar Falls starts, in an attempt to eliminate the Iron Triangle (Vietnam), Iron Triangle. * January 13 – A military coup occurs in Togo under the leadership of Étienne Eyadema. * January 15 – Louis Leakey announces the discovery of pre-human fossils in Kenya; he names the species ''Proconsul nyanzae, Kenyapithecus africanus''. * January 23 ** In Munich, the trial begins of Wilhelm Harster, accused of the murder of 82,856 Jews (including Anne Frank) when he led German security police during the German occupation of the Netherlands. He is eventually sentenced to 15 years in prison. ** Milton Keynes in England is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1900 Births
As of March 1 ( O.S. February 17), when the Julian calendar acknowledged a leap day and the Gregorian calendar did not, the Julian calendar fell one day further behind, bringing the difference to 13 days until February 28 ( O.S. February 15), 2100. Summary Political and military The year 1900 was the end of the 19th century and the beginning of the 20th century. Two days into the new year, the U.S. Secretary of State John Hay announced the Open Door Policy regarding China, advocating for equal access for all nations to the Chinese market. The Galveston hurricane would become the deadliest natural disaster in United States history, killing between 6,000 and 12,000 people, mostly in and near Galveston, Texas, as well as leaving 10,000 people homeless, destroying 7,000 buildings of all kinds in Galveston. As of 2025, it remains the fourth deadliest Atlantic hurricane on record. An ongoing Boxer Rebellion in China escalates with multiple attacks by the Boxers on Chines ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prime Gap
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prime Number
A prime number (or a prime) is a natural number greater than 1 that is not a Product (mathematics), product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, or , involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorization, factorized as a product of primes that is unique up to their order. The property of being prime is called primality. A simple but slow primality test, method of checking the primality of a given number , called trial division, tests whether is a multiple of any integer between 2 and . Faster algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prime-counting Function
In mathematics, the prime-counting function is the function counting the number of prime numbers less than or equal to some real number . It is denoted by (unrelated to the number ). A symmetric variant seen sometimes is , which is equal to if is exactly a prime number, and equal to otherwise. That is, the number of prime numbers less than , plus half if equals a prime. Growth rate Of great interest in number theory is the growth rate of the prime-counting function. It was conjectured in the end of the 18th century by Gauss and by Legendre to be approximately \frac where is the natural logarithm, in the sense that \lim_ \frac=1. This statement is the prime number theorem. An equivalent statement is \lim_\frac=1 where is the logarithmic integral function. The prime number theorem was first proved in 1896 by Jacques Hadamard and by Charles de la Vallée Poussin independently, using properties of the Riemann zeta function introduced by Riemann in 1859. Proof ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Riemann Zeta Function
The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter (zeta), is a mathematical function of a complex variable defined as \zeta(s) = \sum_^\infty \frac = \frac + \frac + \frac + \cdots for and its analytic continuation elsewhere. The Riemann zeta function plays a pivotal role in analytic number theory and has applications in physics, probability theory, and applied statistics. Leonhard Euler first introduced and studied the function over the reals in the first half of the eighteenth century. Bernhard Riemann's 1859 article "On the Number of Primes Less Than a Given Magnitude" extended the Euler definition to a complex variable, proved its meromorphic continuation and functional equation, and established a relation between its zeros and the distribution of prime numbers. This paper also contained the Riemann hypothesis, a conjecture about the distribution of complex zeros of the Riemann zeta function that many mathematicians consider th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
