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- Weil_conjecture_on_Tamagawa_numbers abstract "In mathematics, the Weil conjecture on Tamagawa numbers is the statement that the Tamagawa number τ(G) of a simply connected simple algebraic group defined over a number field is 1. Weil (1959) did not explicitly conjecture this, but calculated the Tamagawa number in many cases and observed that in the cases he calculated it was an integer, and equal to 1 when the group is simply connected. The first observation does not hold for all groups: Ono (1963) found some examples whose Tamagawa numbers are not integers. The second observation, that the Tamagawa numbers of simply connected semisimple groups seem to be 1, became known as the Weil conjecture. Several authors checked this in many cases, and finally Kottwitz proved it for all groups in 1988.Ono (1965) used the Weil conjecture to calculate the Tamagawa numbers of all semisimple algebraic groups.Tamagawa numbers were introduced by Tamagawa (1966), and named after him by Weil (1959).Here simply connected is in the algebraic group theory sense of not having a proper algebraic covering, which is not always the topologists' meaning.".
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- Weil_conjecture_on_Tamagawa_numbers wikiPageWikiLinkText "Tamagawa numbers".
- Weil_conjecture_on_Tamagawa_numbers wikiPageWikiLinkText "Weil conjecture on Tamagawa numbers".
- Weil_conjecture_on_Tamagawa_numbers wikiPageWikiLinkText "conjecture of André Weil".
- Weil_conjecture_on_Tamagawa_numbers wikiPageWikiLinkText "the Tamagawa number of any simply connected semisimple group is 1".
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- Weil_conjecture_on_Tamagawa_numbers id "T/t092060".
- Weil_conjecture_on_Tamagawa_numbers title "Tamagawa number".
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- Weil_conjecture_on_Tamagawa_numbers subject Category:Algebraic_groups.
- Weil_conjecture_on_Tamagawa_numbers subject Category:Conjectures.
- Weil_conjecture_on_Tamagawa_numbers subject Category:Diophantine_geometry.
- Weil_conjecture_on_Tamagawa_numbers subject Category:Theorems_in_algebra.
- Weil_conjecture_on_Tamagawa_numbers hypernym Statement.
- Weil_conjecture_on_Tamagawa_numbers type Group.
- Weil_conjecture_on_Tamagawa_numbers type Conjecture.
- Weil_conjecture_on_Tamagawa_numbers type Group.
- Weil_conjecture_on_Tamagawa_numbers type Statement.
- Weil_conjecture_on_Tamagawa_numbers type Theorem.
- Weil_conjecture_on_Tamagawa_numbers type Variety.
- Weil_conjecture_on_Tamagawa_numbers type Statement.
- Weil_conjecture_on_Tamagawa_numbers comment "In mathematics, the Weil conjecture on Tamagawa numbers is the statement that the Tamagawa number τ(G) of a simply connected simple algebraic group defined over a number field is 1. Weil (1959) did not explicitly conjecture this, but calculated the Tamagawa number in many cases and observed that in the cases he calculated it was an integer, and equal to 1 when the group is simply connected.".
- Weil_conjecture_on_Tamagawa_numbers label "Weil conjecture on Tamagawa numbers".
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- Weil_conjecture_on_Tamagawa_numbers sameAs Q7980185.
- Weil_conjecture_on_Tamagawa_numbers sameAs Q7980185.
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- Weil_conjecture_on_Tamagawa_numbers isPrimaryTopicOf Weil_conjecture_on_Tamagawa_numbers.