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Aleksandar Ivić
Aleksandar Ivić (March 6, 1949 – December 27, 2020) was a Serbian mathematician, specializing in analytic number theory. He gained an international reputation and gave lectures on the Riemann zeta function at universities around the world. (in English) Biography Aleksandar Ivić was born in Belgrade to two renowned linguists, the academician Pavle Ivić (1924–1999) and the academician Milka Ivić (1923–2011). His paternal grandfather was the historian Aleksa Ivić (1881–1948) and his maternal great-grandfather was the poet Vojislav Ilić (1862–1894), the son of the writer and minister of justice Jovan Ilić (1824–1901). In 1967, Aleksandar Ivić successfully participated in the International Mathematical Olympiad. He graduated in 1971 from the University of Novi Sad with a bachelor's degree in science. As a graduate student in Faculty of Sciences of the University of Belgrade, he graduated with a master's degree in 1973 and a doctorate in 1975. His doctoral dissertati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytic Number Theory
In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. It is often said to have begun with Peter Gustav Lejeune Dirichlet's 1837 introduction of Dirichlet ''L''-functions to give the first proof of Dirichlet's theorem on arithmetic progressions. It is well known for its results on prime numbers (involving the Prime Number Theorem and Riemann zeta function) and additive number theory (such as the Goldbach conjecture and Waring's problem). Branches of analytic number theory Analytic number theory can be split up into two major parts, divided more by the type of problems they attempt to solve than fundamental differences in technique. * Multiplicative number theory deals with the distribution of the prime numbers, such as estimating the number of primes in an interval, and includes the prime number theorem and Dirichlet's theorem on primes in arithmetic progressions. *Additive numb ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Riemann Hypothesis
In mathematics, the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part . Many consider it to be the most important unsolved problem in pure mathematics. It is of great interest in number theory because it implies results about the distribution of prime numbers. It was proposed by , after whom it is named. The Riemann hypothesis and some of its generalizations, along with Goldbach's conjecture and the twin prime conjecture, make up Hilbert's eighth problem in David Hilbert's list of twenty-three unsolved problems; it is also one of the Millennium Prize Problems of the Clay Mathematics Institute, which offers US$1 million for a solution to any of them. The name is also used for some closely related analogues, such as the Riemann hypothesis for curves over finite fields. The Riemann zeta function ''ζ''(''s'') is a function whose argument ''s'' may be any complex numbe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Journal Of Number Theory
The ''Journal of Number Theory'' (''JNT'') is a monthly peer-reviewed scientific journal covering all aspects of number theory. The journal was established in 1969 by R.P. Bambah, P. Roquette, A. Ross, A. Woods, and H. Zassenhaus (Ohio State University). It is currently published monthly by Elsevier and the editor-in-chief is Dorian Goldfeld (Columbia University). According to the ''Journal Citation Reports'', the journal has a 2022 impact factor The impact factor (IF) or journal impact factor (JIF) of an academic journal is a type of journal ranking. Journals with higher impact factor values are considered more prestigious or important within their field. The Impact Factor of a journa ... of 0.7. David Goss prize The David Goss Prize in Number theory, founded by the Journal of Number Theory, is awarded every two years, to mathematicians under the age of 35 for outstanding contributions to number theory. The prize is dedicated to the memory of David Goss who was the fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Oxford
Oxford () is a City status in the United Kingdom, cathedral city and non-metropolitan district in Oxfordshire, England, of which it is the county town. The city is home to the University of Oxford, the List of oldest universities in continuous operation, oldest university in the English-speaking world; it has buildings in every style of Architecture of England, English architecture since late History of Anglo-Saxon England, Anglo-Saxon. Oxford's industries include motor manufacturing, education, publishing, science, and information technologies. Founded in the 8th century, it was granted city status in 1542. The city is located at the confluence of the rivers Thames (locally known as the Isis) and River Cherwell, Cherwell. It had a population of in . It is north-west of London, south-east of Birmingham and north-east of Bristol. History The history of Oxford in England dates back to its original settlement in the History of Anglo-Saxon England, Saxon period. The name � ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quarterly Journal Of Mathematics
The ''Quarterly Journal of Mathematics'' is a quarterly peer-reviewed mathematics journal established in 1930 from the merger of '' The Quarterly Journal of Pure and Applied Mathematics'' and the '' Messenger of Mathematics''. According to the ''Journal Citation Reports'', the journal has a 2020 impact factor The impact factor (IF) or journal impact factor (JIF) of an academic journal is a type of journal ranking. Journals with higher impact factor values are considered more prestigious or important within their field. The Impact Factor of a journa ... of 0.681. References External links * {{Official website, http://qjmath.oxfordjournals.org/ Mathematics journals Academic journals established in 1930 English-language journals Oxford University Press academic journals Quarterly journals ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zagreb
Zagreb ( ) is the capital (political), capital and List of cities and towns in Croatia#List of cities and towns, largest city of Croatia. It is in the Northern Croatia, north of the country, along the Sava river, at the southern slopes of the Medvednica mountain. Zagreb stands near the international border between Croatia and Slovenia at an elevation of approximately above mean sea level, above sea level. At the 2021 census, the city itself had a population of 767,131, while the population of Zagreb metropolitan area is 1,086,528. The oldest settlement in the vicinity of the city was the Roman Andautonia, in today's Šćitarjevo. The historical record of the name "Zagreb" dates from 1134, in reference to the foundation of the settlement at Kaptol, Zagreb, Kaptol in 1094. Zagreb became a free royal city in 1242. In 1851, Janko Kamauf became Zagreb's List of mayors of Zagreb, first mayor. Zagreb has special status as a Administrative divisions of Croatia, Croatian administrative ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Amsterdam
Amsterdam ( , ; ; ) is the capital of the Netherlands, capital and Municipalities of the Netherlands, largest city of the Kingdom of the Netherlands. It has a population of 933,680 in June 2024 within the city proper, 1,457,018 in the City Region of Amsterdam, urban area and 2,480,394 in the Amsterdam metropolitan area, metropolitan area. Located in the Provinces of the Netherlands, Dutch province of North Holland, Amsterdam is colloquially referred to as the "Venice of the North", for its canals of Amsterdam, large number of canals, now a World Heritage Site, UNESCO World Heritage Site. Amsterdam was founded at the mouth of the Amstel River, which was dammed to control flooding. Originally a small fishing village in the 12th century, Amsterdam became a major world port during the Dutch Golden Age of the 17th century, when the Netherlands was an economic powerhouse. Amsterdam was the leading centre for finance and trade, as well as a hub of secular art production. In the 19th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
North Holland
North Holland (, ) is a Provinces of the Netherlands, province of the Netherlands in the northwestern part of the country. It is located on the North Sea, north of South Holland and Utrecht (province), Utrecht, and west of Friesland and Flevoland. As of January 2023, it had a population of about 2,952,000 and a total area of , of which is water. From the 9th to the 16th century, the area was an integral part of the County of Holland. During this period West Friesland (region), West Friesland was incorporated. In the 17th and 18th centuries, the area was part of the province of Holland and commonly known as the Noorderkwartier (English: "Northern Quarter"). In 1840, the province of Holland was split into the two provinces of North Holland and South Holland. In 1855, the Haarlemmermeer was drained and turned into land. The provincial capital is Haarlem (pop. 161,265). The province's largest city and also the largest city in the Netherlands is the Dutch capital Amsterdam, with a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Waterloo, Ontario
Waterloo is a city in the Canadian province of Ontario. It is one of three cities in the Regional Municipality of Waterloo (formerly Waterloo County, Ontario, Waterloo County). Waterloo is situated about west-southwest of Toronto, but it is not considered to be part of the Greater Toronto Area (GTA). Due to the close proximity of the city of Kitchener, Ontario, Kitchener to Waterloo, the two together are often referred to as "Kitchener–Waterloo", "K-W", or "The Twin Cities". While several unsuccessful attempts to combine the municipalities of Kitchener and Waterloo have been made, following the 1973 establishment of the Region of Waterloo, less motivation to do so existed, and as a result, Waterloo remains an independent city. At the time of the Canada 2021 Census, 2021 census, the population of Waterloo was 121,436. History Indigenous peoples and settlement Indigenous peoples in Canada, Indigenous peoples such as the Haudenosaunee, Iroquois, Anishinaabe and Neutral Natio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Budapest
Budapest is the Capital city, capital and List of cities and towns of Hungary, most populous city of Hungary. It is the List of cities in the European Union by population within city limits, tenth-largest city in the European Union by population within city limits and the List of cities and towns on the river Danube, second-largest city on the river Danube. The estimated population of the city in 2025 is 1,782,240. This includes the city's population and surrounding suburban areas, over a land area of about . Budapest, which is both a List of cities and towns of Hungary, city and Counties of Hungary, municipality, forms the centre of the Budapest metropolitan area, which has an area of and a population of 3,019,479. It is a primate city, constituting 33% of the population of Hungary. The history of Budapest began when an early Celts, Celtic settlement transformed into the Ancient Rome, Roman town of Aquincum, the capital of Pannonia Inferior, Lower Pannonia. The Hungarian p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Canadian Mathematical Bulletin
The ''Canadian Mathematical Bulletin'' () is a mathematics journal, established in 1958 and published quarterly by the Canadian Mathematical Society. The current editors-in-chief of the journal are Antonio Lei and Javad Mashreghi. The journal publishes short articles in all areas of mathematics that are of sufficient interest to the general mathematical public. Abstracting and indexing The journal is abstracted in: for the Canadian Mathematical Bulletin. * '''' * '' |
Dirichlet Series
In mathematics, a Dirichlet series is any series of the form \sum_^\infty \frac, where ''s'' is complex, and a_n is a complex sequence. It is a special case of general Dirichlet series. Dirichlet series play a variety of important roles in analytic number theory. The most usually seen definition of the Riemann zeta function is a Dirichlet series, as are the Dirichlet L-functions. Specifically, the Riemann zeta function ''ζ(s)'' is the Dirichlet series of the constant unit function ''u(n)'', namely: \zeta(s) = \sum_^\infty \frac = \sum_^\infty \frac = D(u, s), where ''D(u, s)'' denotes the Dirichlet series of ''u(n)''. It is conjectured that the Selberg class of series obeys the generalized Riemann hypothesis. The series is named in honor of Peter Gustav Lejeune Dirichlet. Combinatorial importance Dirichlet series can be used as generating series for counting weighted sets of objects with respect to a weight which is combined multiplicatively when taking Cartesian product ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
