Period functions of half-integral weight modular forms

Dohoon Choi; Subong Lim; Wissam Raji

doi:10.5802/jtnb.891

Period functions of half-integral weight modular forms

Dohoon Choi, Subong Lim, Wissam Raji

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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 language	English
Pages (from-to)	33-45
Number of pages	13
Journal	Journal de Theorie des Nombres de Bordeaux
Volume	27
Issue number	1
DOIs	https://doi.org/10.5802/jtnb.891
Publication status	Published - 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© Société Arithmétique de Bordeaux, 2015.

ASJC Scopus subject areas

Algebra and Number Theory

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Period functions of half-integral weight modular forms

Abstract

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