About: Hasse principle

Property	Value
dbo:description	הרעיון שניתן למצוא פתרון במספרים שלמים למשוואה, על ידי שילוב פתרונות של המשוואה מודולו החזקות של המספרים הראשוניים (iw) principle that an integer equation can be solved by piecing together modular solutions (en) zahlentheoretische Methode (de) estudo das ecuacións no completamento dos números racionais (gl)
dbo:wikiPageExternalLink	https://archive.org/details/surveyondiophant00lang https://archive.org/details/surveyondiophant00lang/page/n263 https://archive.org/details/torsorsrationalp0000skor/page/1 http://web.maths.unsw.edu.au/~jim/globallocalfinal.pdf https://web.archive.org/web/20081012163238/http:/swc.math.arizona.edu/notes/files/DLSSw-Dyer1.pdf http://planetmath.org/encyclopedia/HassePrinciple.html
dbo:wikiPageWikiLink	dbr:Quadratic_form dbr:Prime_ideal dbr:Helmut_Hasse dbr:Roger_Heath-Brown dbr:Hasse–Minkowski_theorem dbr:Prime_number dbc:Diophantine_equations dbr:Central_simple_algebra dbr:Alexei_Skorobogatov dbc:Algebraic_number_theory dbr:Real_number dbr:Modular_arithmetic dbr:Local_analysis dbr:If_and_only_if dbr:Masahiko_Fujiwara dbr:Brauer_group dbr:Mathematics dbr:P-adic_number dbr:Christopher_Hooley dbr:E8_(mathematics) dbr:Albert–Brauer–Hasse–Noether_theorem dbc:Mathematical_principles dbr:Diophantine_equation dbr:Rational_number dbr:Birch's_theorem dbr:Ernst_S._Selmer dbr:Chinese_remainder_theorem dbr:American_Mathematical_Society dbr:Harold_Davenport dbr:Local_field dbr:Matrix_ring dbc:Localization_(mathematics) dbr:Hermann_Minkowski dbr:Grunwald–Wang_theorem dbr:Springer-Verlag dbr:Number_field dbr:Grothendieck–Katz_p-curvature_conjecture dbr:Hardy–Littlewood_circle_method dbr:Brauer–Manin_obstruction dbr:Strong_approximation_theorem dbr:Masaki_Sudo dbr:Representing_0 dbr:Weil_conjecture_for_Tamagawa_numbers dbr:Completion_(ring_theory) dbr:Hasse's_theorem_on_cyclic_extensions dbr:Yuri_Ivanovitch_Manin
dbp:id	p/h046670 (en)
dbp:title	Hasse Principle (en) Hasse principle (en)
dbp:urlname	hasseprinciple (en)
dbp:wikiPageUsesTemplate	dbt:PlanetMath dbt:Cite_book dbt:Cite_journal dbt:Citation dbt:Harvtxt dbt:Springer dbt:Short_description
dct:subject	dbc:Diophantine_equations dbc:Algebraic_number_theory dbc:Mathematical_principles dbc:Localization_(mathematics)
gold:hypernym	dbr:Idea
rdfs:label	Hasse principle (en) Lokal-Global-Prinzip (Zahlentheorie) (de) Principe local-global (fr) 局所大域原理 (ja) Principe van Hasse (nl) 哈瑟原則 (zh)
owl:sameAs	yago-res:Hasse principle freebase:Hasse principle wikidata:Hasse principle dbpedia-nl:Hasse principle dbpedia-de:Hasse principle dbpedia-fr:Hasse principle dbpedia-zh:Hasse principle dbpedia-ja:Hasse principle dbpedia-hu:Hasse principle dbpedia-global:Hasse principle dbr:Hasse principle
prov:wasDerivedFrom	wikipedia-en:Hasse_principle?oldid=1292070424&ns=0
foaf:isPrimaryTopicOf	wikipedia-en:Hasse_principle
is dbo:wikiPageRedirects of	dbr:Local-global_principle dbr:Hasse_principle_for_algebraic_groups dbr:Local–global_principle
is dbo:wikiPageWikiLink of	dbr:List_of_eponymous_laws dbr:Michael_Guy dbr:Timeline_of_class_field_theory dbr:Helmut_Hasse dbr:Erdős–Straus_conjecture dbr:List_of_number_theory_topics dbr:Alexei_Skorobogatov dbr:Local_analysis dbr:Brauer_group dbr:Reductive_group dbr:P-adic_number dbr:Christopher_Hooley dbr:Emmy_Noether dbr:Akshay_Venkatesh dbr:Diophantine_equation dbr:Azumaya_algebra dbr:Chinese_remainder_theorem dbr:Global_field dbr:Hasse's_theorem dbr:Yuri_Manin dbr:Finite_field dbr:List_of_unsolved_problems_in_mathematics dbr:Glossary_of_arithmetic_and_diophantine_geometry dbr:Approximation_in_algebraic_groups dbr:Scientific_phenomena_named_after_people dbr:List_of_algebraic_number_theory_topics dbr:Rational_point dbr:Hilbert's_eleventh_problem dbr:Manin_obstruction dbr:Tate–Shafarevich_group dbr:Mikhail_Borovoi dbr:Local-global_principle dbr:Artin_reciprocity_law dbr:Weil's_conjecture_on_Tamagawa_numbers dbr:Hardy–Littlewood_circle_method dbr:Hasse_principle_for_algebraic_groups dbr:Local–global_principle
is foaf:primaryTopic of	wikipedia-en:Hasse_principle