Period Relations, Jacobi Forms and Eichler Integral

2010/07/27 by YoungJu Choie, Choie, YoungJu, Subong Lim +1
Chemistry · Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Molecular spectroscopy and chirality #math.NT

paper · pdf · doi:10.48550/arxiv.1007.4821

arxiv created 2010/07/27 · arxiv updated 2010/07/29

Abstract

We study period relations of Jacobi forms. It turns out that the relations satisfied by Mordell integral coming from Lerch or Appell sums are the special case of those. The existence of Jacobi integral associated to given period function using generalized Poincaré series is claimed.

Citations

• Heegner divisors, L-functions and harmonic weak Maass forms
• The f(q) mock theta function conjecture and partition ranks

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• Periods and Applications
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• On the standard L-function attached to Siegel-Jacobi modular forms of higher index