Automorphic forms and the distribution of points on odd-dimensional spheres

Automorphic forms and the distribution of points on odd-dimensional spheres
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自守形式和奇数维球面上的点分布

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发表时间:
2002
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通讯作者:
L. Clozel
L. Clozel
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作者:
L. Clozel

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本文将Lubotzky,菲利普斯和Sarnak的一个定理推广到高维球面,给出了最优等分布点集。证明依赖于自守形式和高维志村簇的理论。
We extend to the case ofodd-dimensional spheres a theorem of Lubotzky, Phillips and Sarnak giving optimally equidistributed sets of points. The proof relies on the theory of automorphic forms and higher-dimensional Shimura varieties.