Nevanlinna theory

English

Etymology

Named after Finnish mathematician Template:W (1895–1980), who published the theory in 1925.

Noun

1. Template:Lb A part of the theory of meromorphic functions that describes the asymptotic distribution of solutions to the equation ƒ(z) = a, as a varies.

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   • Template:Quote-book
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   • 2010, Template:W, 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, Template:W 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.Template:...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

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Related terms

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Translations

• French: Template:T
• German: Template:T