Brandt matrices and theta series over global function fields

DOI10.1090/memo/1117zbMath1331.11032OpenAlexW1963708740MaRDI QIDQ2944991

Unnamed Author, Jing Yu, Fu-Tsun Wei, Chih-Yun Chuang

Publication date: 9 September 2015

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

Full work available at URL: https://doi.org/10.1090/memo/1117

zbMATH Keywords

function fieldsHecke correspondenceShimura curveBrandt matricesautomorphic forms on \(\roman{GL}_2\)Drinfeld type automorphic formstheta series, metaplectic forms

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Fourier coefficients of automorphic forms (11F30) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items

On class number relations and intersections over function fields, On CM masses over global function fields

Cites Work

• Unnamed Item
• Unnamed Item
• The class number of hereditary orders in non-Eichler algebras over global function fields
• Theta series and function field analogue of Gross formula
• Fourier coefficients and modular forms of half-integral weight
• Arithmétique des algèbres de quaternions
• Sur les coefficients de Fourier des formes modulaires de poids demi-entier
• The representability of modular forms by theta series
• Weil's representation and the spectrum of the metaplectic group
• On metaplectic forms over function fields
• Dirichlet series and automorphic forms
• Automorphic forms on GL (2)
• On modular forms of half integral weight
• Zur Zahlentheorie der Quaternionen-Algebren.
• Newforms of half-integral weight.
• On construction of holomorphic cusp forms of half integral weight
• Jacobians of Drinfeld modular curves.
• Type numbers of Eichler orders.