Zagier duality for harmonic weak maass forms of integral weight

Bumkyu Cho, Youngju Choie

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We show the existence of "Zagier duality" between vector valued harmonic weak Maass forms and vector valued weakly holomorphic modular forms of integral weight. This duality phenomenon arises naturally in the context of harmonic weak Maass forms as developed in recent works by Bruinier, Funke, Ono, and Rhoades. Concerning the isomorphism between the spaces of scalar and vector valued harmonic weak Maass forms of integral weight, Zagier duality between scalar valued ones is derived.

Original languageEnglish
Pages (from-to)787-797
Number of pages11
JournalProceedings of the American Mathematical Society
Volume139
Issue number3
DOIs
StatePublished - Mar 2011

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