Nevanlinna Prize Laureates

	Nevanlinna Prize Laureates Nevanlinna may refer to: * Nyenskans, a Swedish fortress on the river Neva from 1617 to 1703, at the location of today's Saint Petersburg * Frithiof Nevanlinna, a Finnish mathematician * Rolf Nevanlinna, a Finnish mathematician :* Nevanlinna class, a class of mathematical functions, otherwise known as ''bounded type'' :Nevanlinna invariant, a geometrical invariant : Nevanlinna theory, a branch of complex analysis developed by Rolf Nevanlinna :* The Nevanlinna Prize The IMU Abacus Medal, known before 2022 as the Rolf Nevanlinna Prize, is awarded once every four years at the International Congress of Mathematicians, hosted by the International Mathematical Union (IMU), for outstanding contributions in Mathematic ... {{Disambig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Nyenskans Nyenschantz (russian: Ниенша́нц, ''Nienshants''; sv, Nyenskans; fi, Nevanlinna) was a Swedish fortress at the confluence of the Neva River and Okhta River, the site of present-day Saint Petersburg, Russia. Nyenschantz was built in 1611 to establish Swedish rule in Ingria, which had been annexed from the Tsardom of Russia during the Time of Troubles. The town of Nyen, which formed around Nyenschantz, became a wealthy trading center and a capital of Swedish Ingria during the 17th century. In 1702, Nyenschantz and Nyen were conquered by Russia during the Great Northern War, and the new Russian capital of Saint Petersburg was established by Peter the Great in their place the following year. History The fortress Landskrona During excavations in 1992–2000 the remnants of three different medieval fortresses were found at the site of the Nyenschantz fortress. The only one of them that is known historically is the Swedish fortress Landskrona, built in the year 1300 by Tyrgils K ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Frithiof Nevanlinna Frithiof Edvard Henrik Nevanlinna (16 August 1894 – 20 March 1977) was a Finnish mathematician and professor who worked on classical and complex analysis. He was born in Joensuu, and was the older brother of Rolf Nevanlinna Rolf Herman Nevanlinna (né Neovius; 22 October 1895 – 28 May 1980) was a Finnish mathematician who made significant contributions to complex analysis. Background Nevanlinna was born Rolf Herman Neovius, becoming Nevanlinna in 1906 when his fat .... Publications * References * External links * {{DEFAULTSORT:Nevanlinna, Frithiof 1894 births 1977 deaths People from Joensuu People from Kuopio Province (Grand Duchy of Finland) Finnish mathematicians Academic staff of the University of Helsinki ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Rolf Nevanlinna Rolf Herman Nevanlinna (né Neovius; 22 October 1895 – 28 May 1980) was a Finnish mathematician who made significant contributions to complex analysis. Background Nevanlinna was born Rolf Herman Neovius, becoming Nevanlinna in 1906 when his father changed the family name. The Neovius-Nevanlinna family contained many mathematicians: Edvard Engelbert Neovius (Rolf's grandfather) taught mathematics and topography at a military academy; Edvard Rudolf Neovius (Rolf's uncle) was a professor of mathematics at the University of Helsinki from 1883 to 1900; Lars Theodor Neovius-Nevanlinna (Rolf's uncle) was an author of mathematical textbooks; and Otto Wilhelm Neovius-Nevanlinna (Rolf's father) was a physicist, astronomer and mathematician. After Otto obtained his Ph.D. in physics from the University of Helsinki, he studied at the Pulkovo Observatory with the German astronomer Herman Romberg, whose daughter, Margarete Henriette Louise Romberg, he married in 1892. Otto and Margarete then ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Nevanlinna Class In mathematics, a function defined on a region of the complex plane is said to be of bounded type if it is equal to the ratio of two analytic functions bounded in that region. But more generally, a function is of bounded type in a region \Omega if and only if f is analytic on \Omega and \log^+, f(z), has a harmonic majorant on \Omega, where \log^+(x)=\max ,\log(x)/math>. Being the ratio of two bounded analytic functions is a sufficient condition for a function to be of bounded type (defined in terms of a harmonic majorant), and if \Omega is simply connected the condition is also necessary. The class of all such f on \Omega is commonly denoted N(\Omega) and is sometimes called the '' Nevanlinna class'' for \Omega. The Nevanlinna class includes all the Hardy classes. Functions of bounded type are not necessarily bounded, nor do they have a property called "type" which is bounded. The reason for the name is probably that when defined on a disc, the Nevanlinna characteristic (a fu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Nevanlinna Invariant In mathematics, the Nevanlinna invariant of an ample divisor ''D'' on a normal projective variety ''X'' is a real number connected with the rate of growth of the number of rational points on the variety with respect to the embedding defined by the divisor. The concept is named after Rolf Nevanlinna. Formal definition Formally, α(''D'') is the infimum of the rational numbers ''r'' such that K_X + r D is in the closed real cone of effective divisors in the Néron–Severi group of ''X''. If α is negative, then ''X'' is pseudo-canonical. It is expected that α(''D'') is always a rational number. Connection with height zeta function The Nevanlinna invariant has similar formal properties to the abscissa of convergence of the height zeta function and it is conjectured that they are essentially the same. More precisely, Batyrev–Manin conjectured the following. Let ''X'' be a projective variety over a number field ''K'' with ample divisor ''D'' giving rise to an embedding and hei ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Nevanlinna Theory In the mathematical field of complex analysis, Nevanlinna theory is part of the theory of meromorphic functions. It was devised in 1925, by Rolf Nevanlinna. Hermann Weyl called it "one of the few great mathematical events of (the twentieth) century." The theory describes the asymptotic distribution of solutions of the equation ''f''(''z'') = ''a'', as ''a'' varies. A fundamental tool is the Nevanlinna characteristic ''T''(''r'', ''f'') which measures the rate of growth of a meromorphic function. Other main contributors in the first half of the 20th century were Lars Ahlfors, André Bloch, Henri Cartan, Edward Collingwood, Otto Frostman, Frithiof Nevanlinna, Henrik Selberg, Tatsujiro Shimizu, Oswald Teichmüller, and Georges Valiron. In its original form, Nevanlinna theory deals with meromorphic functions of one complex variable defined in a disc , ''z'', ≤ ''R'' or in the whole complex plane (''R'' = ∞). Subsequent generalizations extended Nevanlinna theory to algebr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]