Acta mathematica scientia,Series B

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THE TRANSFORMATION LAW AND TRACE FORMULA ON THETA SERIES UNDER SIEGEL MODULAR GROUP

Zhou Haigang; Lu Hongwen   

  1. Department of Mathematics Tongji University, Shanghai 200092, China
  • Received:2005-03-18 Revised:1900-01-01 Online:2008-01-20 Published:2008-01-20
  • Contact: Zhou Haigang

Abstract:

The purposes of this article are to discuss the symplectic transformation laws on theta series and to give some explicit formulas for the trace of the symplectic operator.

Key words: theta series, symplectic transformation law, trace formula

CLC Number: 

  • 11F27
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