Counting zeros in quaternion algebras using Jacobi forms

DOI10.1090/tran/7575zbMath1443.11068OpenAlexW2795459719WikidataQ130033684 ScholiaQ130033684MaRDI QIDQ4633630

Haigang Zhou, Nils-Peter Skoruppa, Hatice Boylan

Publication date: 3 May 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/7575

zbMATH Keywords

Jacobi formsarithmetic of quaternion algebras

Mathematics Subject Classification ID

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

Related Items (3)

Siegel Eisenstein series of level two and its applications ⋮ Unnamed Item ⋮ Eichler orders and Jacobi forms of squarefree level

Uses Software

• SageMath

Cites Work

• The theory of Jacobi forms
• Jacobiformen und Thetareihen. (Jacobi forms and theta series)
• Arithmétique des algèbres de quaternions
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• On modular forms of half integral weight
• Die Anzahl der Typen von Maximalordnungen einer definiten Quaternionenalgebra mit primer Grundzahl
• The behaviour of general theta functions under the modular group and the characters of binary modular congruence groups. I, II
• Zur Zahlentheorie der Quaternionen-Algebren.
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• Unnamed Item

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