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http://dx.doi.org/10.14403/jcms.2017.30.2.183

TWO ZAGIER-LIFTS

Kang, Soon-Yi (Department of Mathematics Kangwon National University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.30, no.2, 2017 , pp. 183-200 More about this Journal

Abstract

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.

Keywords

Zagier lift; harmonic weak Maass forms; traces of singular moduli; cycle integral of a modular function;

Citations & Related Records

Reference

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