Hilbert’s twenty-second problem

E220091

Hilbert’s twenty-second problem is one of David Hilbert’s famous list of 23 problems, concerning the uniformization of analytic relations and the representation of multi-valued analytic functions by single-valued ones on suitable Riemann surfaces.

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Statements (44)

Predicate Object
instanceOf Hilbert problem ⓘ
mathematical problem ⓘ
asksFor construction of suitable Riemann surfaces for analytic functions ⓘ
representation of multivalued analytic functions as single-valued functions ⓘ
category unsolved and partially solved problems in mathematics ⓘ
concerns representation of multivalued analytic functions ⓘ
uniformization of analytic relations ⓘ
field Riemann surface theory ⓘ
analytic geometry ⓘ
complex analysis ⓘ
geometric function theory ⓘ
goal global description of analytic relations via Riemann surfaces ⓘ
systematic uniformization of analytic functions ⓘ
hasOrdinalPosition twenty-second ⓘ
hasSubjectHeading Riemann surfaces and analytic relations ⓘ
linked to: Riemann surfaces

uniformization of analytic functions ⓘ
historicalContext turn of the 20th century mathematics ⓘ
influencedField geometric theory of functions ⓘ
modern complex analysis ⓘ
theory of Riemann surfaces ⓘ
languageOfOriginalFormulation German ⓘ
motivation clarifying the global behavior of analytic functions ⓘ
unifying local analytic data into global structures ⓘ
namedAfter David Hilbert ⓘ
numberInSequence 22 ⓘ
originalPublication Mathematische Probleme lecture ⓘ
linked to: Hilbert problems
originalPublicationVenue Göttinger Nachrichten ⓘ
originalPublicationYear 1902 ⓘ
partOf Hilbert’s list of 23 problems ⓘ
linked to: Hilbert problems
presentedAt International Congress of Mathematicians in Paris ⓘ
relatedConcept Riemann surface ⓘ
analytic continuation ⓘ
analytic relation ⓘ
multivalued analytic function ⓘ
single-valued analytic function ⓘ
uniformization theorem ⓘ
relatedTo Hilbert’s twenty-first problem ⓘ
Hilbert’s twenty-third problem ⓘ
requiresTool conformal mapping theory ⓘ
theory of covering spaces ⓘ
topology of Riemann surfaces ⓘ
sequence Hilbert’s problems ⓘ
linked to: Hilbert problems
statedBy David Hilbert ⓘ
statedInYear 1900 ⓘ

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Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Hilbert problems → hasPart → Hilbert’s twenty-second problem ⓘ
Hilbert’s twenty-second problem → relatedTo → Hilbert’s twenty-first problem ⓘ
linked to: Hilbert’s twenty-second problem