학술저널
TWO ZAGIER-LIFTS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 30, No. 2
-
2017.05183 - 200 (18 pages)
- 4
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 compu-tation.
1. Introduction
2. Whittaker functions
3. Weak Maass-Poincar´e series
4. Definitions of two Zagier lifts
5. Main results
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