Siegel theta series for quadratic forms of signature \((m - 1, 1)\)

DOI10.1016/j.jnt.2023.06.001arXiv2106.05703OpenAlexW3168706434MaRDI QIDQ6166734

Christina Roehrig

Publication date: 3 August 2023

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

Full work available at URL: https://arxiv.org/abs/2106.05703

zbMATH Keywords

non-holomorphic Siegel modular formsindefinite Siegel theta series

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27)

Cites Work

• Unnamed Item
• Unnamed Item
• The theta correspondence and harmonic forms. I
• The theta correspondence and harmonic forms. II
• Automorphic forms with singularities on Grassmannians
• Jacobi forms and the structure of Donaldson invariants for 4-manifolds with \(b_+=1\)
• Holomorphic Siegel modular forms associated to \(SO(n,1)\)
• Indefinite theta series and generalized error functions
• Theta integrals and generalized error functions
• \(r\)-tuple error functions and indefinite theta series of higher-depth
• Siegel theta series for indefinite quadratic forms
• On modular forms of half integral weight
• Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular forms in several complex variables
• Mock modular forms and geometric theta functions for indefinite quadratic forms
• On some incomplete theta integrals

This page was built for publication: Siegel theta series for quadratic forms of signature \((m - 1, 1)\)