Orthogonal Eisenstein series and theta lifts

DOI10.1142/s1793042123500641arXiv2109.06603OpenAlexW3200940678MaRDI QIDQ6107934

Paul Kiefer

Publication date: 28 June 2023

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

Full work available at URL: https://arxiv.org/abs/2109.06603

zbMATH Keywords

orthogonal groupEisenstein seriestheta liftWeil representationBorcherds liftnon-holomorphic Eisenstein series

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30) Hecke-Petersson operators, differential operators (several variables) (11F60)

Cites Work

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• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• Automorphic forms with singularities on Grassmannians
• Some modular varieties of low dimension
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• Eisenstein series for the Weil representation
• Formulas for non-holomorphic Eisenstein series and for the Riemann zeta function at odd integers
• On the classification of automorphic products and generalized Kac-Moody algebras
• Vector-valued Eisenstein series of small weight
• Eisenstein series attached to lattices and modular forms on orthogonal groups

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