• Title/Summary/Keyword: cycle integral of a modular function

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TWO ZAGIER-LIFTS

  • Kang, Soon-Yi
    • Journal of the Chungcheong Mathematical Society
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    • v.30 no.2
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    • pp.183-200
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    • 2017
  • 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.