Period functions of half-integral weight modular forms

Dohoon Choi, Subong Lim, Wissam Raji

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this paper, we study the Eichler cohomology associated with half-integral weight cusp forms using the Dedekind eta function η(z) and the theta function θ(z). We prove that η-multiplication (resp. θ-multiplication) gives an isomorphism between the space of cusp forms of a half-integral weight and the cohomology group associated with the space ηP (resp. θP). We also show that there is an isomorphism between the direct sum of two spaces of cusp forms of half-integral weights and the cohomology group.

Original languageEnglish
Pages (from-to)33-45
Number of pages13
JournalJournal de Theorie des Nombres de Bordeaux
Issue number1
Publication statusPublished - 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
© Société Arithmétique de Bordeaux, 2015.

ASJC Scopus subject areas

  • Algebra and Number Theory


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