On the regularized imaginary Doi-Naganuma lifting

DOI10.11650/tjm.19.2015.3901zbMath1357.11053OpenAlexW4237803520MaRDI QIDQ514832

Subong Lim, Seokho Jin

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.19.2015.3901

zbMATH Keywords

modular formimaginary Doi-Naganuma liftingregularized theta integral

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

• Heegner divisors, \(L\)-functions and harmonic weak Maass forms
• Dyson's ranks and Maass forms
• Automorphic forms with singularities on Grassmannians
• On Maass wave forms and the imaginary quadratic Doi-Naganuma lifting
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• On the functional equation of certain Dirichlet series
• Arithmetic properties of non-harmonic weak Maass forms
• On the Niwa-Shintani theta-kernel lifting of modular forms
• On the Doi-Naganuma lifting associated with imaginary quadratic fields
• Traces of CM values of modular functions

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