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TWO ZAGIER-LIFTS

  • Kang, Soon-Yi (Department of Mathematics Kangwon National University)
  • 투고 : 2016.11.28
  • 심사 : 2017.02.28
  • 발행 : 2017.05.15

초록

Zagier lift gives a relation between weakly holomorphic modular functions and weakly holomorphic modular forms of weight 3/2. Duke and Jenkins extended Zagier-lifts for weakly holomorphic modular forms of negative-integral weights and recently Bringmann, Guerzhoy and Kane extended them further to certain harmonic weak Maass forms of negative-integral weights. New Zagier-lifts for harmonic weak Maass forms and their relation with Bringmann-Guerzhoy-Kane's lifts were discussed earlier. In this paper, we give explicit relations between the two different lifts via direct computation.

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과제정보

연구 과제 주관 기관 : National Research Foundation of Korea(NRF)

참고문헌

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