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Rational points on compactifications of semi-simple groups |
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| Authors: | Joseph Shalika Ramin Takloo-Bighash Yuri Tschinkel |
| Institution: | Department of Mathematics, Johns Hopkins University, 3400 N. Charles Street, Baltimore, Maryland 21218-2686 ; Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, New Jersey 08544-1000 ; Courant Institute, NYU, 251 Mercer Street, New York, New York 10012 |
| Abstract: | We prove Manin's conjecture concerning the distribution of rational points of bounded height, and its refinement by Peyre, for wonderful compactifications of semi-simple algebraic groups over number fields. The proof proceeds via the study of the associated height zeta function and its spectral expansion. |
| Keywords: | Manin's conjectures rational points wonderful compactifications automorphic forms |
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