Eichler orders and Jacobi forms of squarefree level

DOI10.1016/j.jnt.2021.07.025zbMath1497.11123OpenAlexW3193466130WikidataQ114156780 ScholiaQ114156780MaRDI QIDQ2116761

Yan-Bin Li, Haigang Zhou, Nils-Peter Skoruppa

Publication date: 18 March 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2021.07.025

zbMATH Keywords

Eisenstein seriesJacobi formstheta seriesclass numbersEichler orderstype numbersdefinite quaternion algebras

Mathematics Subject Classification ID

Jacobi forms (11F50) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

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Siegel Eisenstein series of level two and its applications

Cites Work

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• The theory of Jacobi forms
• Arithmétique des algèbres de quaternions
• Counting zeros in quaternion algebras using Jacobi forms
• Quaternion Orders, Quadratic Forms, and Shimura Curves
• Type numbers of Eichler orders.
• The action of the canonical involution on modular forms of weight 2 on \(\Gamma_0(M)\)