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

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Zhongshan University, 510275, Guangzhou, China

    Yu He

  2. Department of Mathematics, Tongji University, 200092, Shanghai, China

    Hongwen Lu

Authors
  1. Yu He
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  2. Hongwen Lu
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He, Y., Lu, H. Dimension formula of cusp form spaces on half-spaces of quaternions. Sci. China Ser. A-Math. 42, 1025–1031 (1999). https://doi.org/10.1007/BF02889503

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  • DOI: https://doi.org/10.1007/BF02889503

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