Zagier-lift type arithmetic in harmonic weak Maass forms

Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon

doi:10.1016/j.jnt.2016.05.012

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Zagier-lift type arithmetic in harmonic weak Maass forms

Jeon, Daeyeol;
Kang, Soon-Yi;
Kim, Chang Heon

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3

초록

Zagier defined lifts of weakly holomorphic modular functions to weakly holomorphic modular forms of weight 3/2. Duke and Jenkins extended Zagier-lifts for weakly holomorphic modular forms of negative-integral weights. In this paper, we show that half-integral weight harmonic weak Maass forms can be interpreted as Zagier-lifts of negative-integral weight harmonic weak Maass forms. (C) 2016 Elsevier Inc. All rights reserved.

키워드

Zagier lift; Harmonic weak Maass forms; Traces of singular moduli; Cycle integral of a modular function; HALF-INTEGRAL WEIGHT; MOCK MODULAR-FORMS; SINGULAR MODULI; POINCARE SERIES; CYCLE INTEGRALS; TRACES; DERIVATIVES; POINTS; VALUES

제목: Zagier-lift type arithmetic in harmonic weak Maass forms

저자: Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon

DOI: 10.1016/j.jnt.2016.05.012

발행일: 2016-12

유형: Article

저널명: Journal of Number Theory

권: 169

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