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In mathematics, the Arthur conjectures are some conjectures about automorphic representations of reductive groups over the adeles and unitary representations of reductive groups over local fields made by James Arthur (1989), motivated by the Arthur-Selberg trace formula.Arthur's conjectures imply the generalized Ramanujan conjectures for cusp forms on general linear groups.

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  • In mathematics, the Arthur conjectures are some conjectures about automorphic representations of reductive groups over the adeles and unitary representations of reductive groups over local fields made by James Arthur (1989), motivated by the Arthur-Selberg trace formula.Arthur's conjectures imply the generalized Ramanujan conjectures for cusp forms on general linear groups.
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