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Dimension formula of cusp form spaces on half-spaces of quaternions

Dimension formula of cusp form spaces on half-spaces of quaternions
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摘要 A dimension formula for the spaces of cusp forms defined on quaternionic half-spaces of degree two is obtained by Selberg trace formula, and the contributions of some conjugacy classes are calculated. Some results on the classification of the conjugacy classes of modular group are obtained. A dimension formula for the spaces of cusp forms defined on quatemionic half-spacea of degree two is obtained by Selberg trace formula, and the contributions of some conjugacy classes are calculated. Some results on the classification of the conjugacy classes of modular group are obtained.
作者 何峪 陆洪文
出处 《Science China Mathematics》 SCIE 1999年第10期1025-1031,共7页 中国科学:数学(英文版)
关键词 modular FORM automorphic FORM Selberg TRACE formula. modular form automorphic form Selberg trace formula
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