Hilbert’s twenty-second problem

E220091

Hilbert problem mathematical problem

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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All labels observed (2)

Label	Occurrences
Hilbert’s twenty-first problem	1
Hilbert’s twenty-second problem canonical	1

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 ⓘ surface form: Riemann surfaces and analytic relations 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	Hilbert problems ⓘ surface form: Mathematische Probleme lecture
originalPublicationVenue	Göttinger Nachrichten ⓘ
originalPublicationYear	1902 ⓘ
partOf	Hilbert problems ⓘ surface form: Hilbert’s list of 23 problems
presentedAt	International Congress of Mathematicians ⓘ surface form: 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-second problem self-linksurface differs ⓘ surface form: Hilbert’s twenty-first problem Hilbert’s twenty-third problem ⓘ
requiresTool	conformal mapping theory ⓘ theory of covering spaces ⓘ topology of Riemann surfaces ⓘ
sequence	Hilbert problems ⓘ surface form: Hilbert’s problems
statedBy	David Hilbert ⓘ
statedInYear	1900 ⓘ

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-second problem self-linksurface differs ⓘ

this entity surface form: Hilbert’s twenty-first problem