Nevanlinna theory

== English == === Etymology === Named after Finnish mathematician Rolf Nevanlinna (1895–1980), who published the theory in 1925. === Noun === Nevanlinna theory (uncountable) (complex analysis) A part of the theory of meromorphic functions that describes the asymptotic distribution of solutions to the equation ƒ(z) = a, as a varies. 2010, Paul Vojta, Diophantine Approximation and Nevanlinna theory, Jean-Louis Colliot-Thélène, Peter Swinnerton-Dyer, Paul Vojta (editors), Arithmetic Geometry: Lectures given at the C.I.M.E. Summer School, Springer, Lecture Notes in Mathematics 2009, page 111, Beginning with the work of Osgood [65], it has been known that the branch of complex analysis known as Nevanlinna theory (also called value distribution theory) has many similarities with Roth's theorem on diophantine approximation. […] The circle of ideas has developed further in the last 20 years: Lang's conjecture on sharpening the error term in Roth's was carried over to a conjecture in Nevanlinna theory which was proved in many cases. ==== Synonyms ==== (part of the theory of meromorphic functions): value-distribution theory ==== Related terms ==== Nevanlinna characteristic ==== Translations ==== === References ===