The Shimura–Shintani correspondence via singular theta lifts and currents

DOI10.1142/s1793042123501178arXiv2112.11379OpenAlexW4380077355MaRDI QIDQ6086898

Unnamed Author, Jens Funke

Publication date: 11 December 2023

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

Full work available at URL: https://arxiv.org/abs/2112.11379

zbMATH Keywords

modular formsharmonic weak Maass formssingular theta lifts

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Theta lifts and local Maass forms
• Heegner divisors, \(L\)-functions and harmonic weak Maass forms
• Modular local polynomials
• Weierstrass mock modular forms and elliptic curves
• Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues
• Automorphic forms with singularities on Grassmannians
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• On a theta lift related to the Shintani lift
• On two geometric theta lifts
• Algebras, BPS states, and strings
• Twisted traces of CM values of weak Maass forms
• Regularized theta liftings and periods of modular functions
• 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
• Boundary behaviour of special cohomology classes arising from the Weil representation
• On a completed generating function of locally harmonic Maass forms
• Modular forms of half integral weight and the integral of certain theta-functions
• On construction of holomorphic cusp forms of half integral weight
• Locally Harmonic Maass Forms and the Kernel of the Shintani Lift
• Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms
• Shintani theta lifts of harmonic Maass forms
• Local Maass forms and Eichler-Selberg relations for negative-weight vector-valued mock modular forms

This page was built for publication: The Shimura–Shintani correspondence via singular theta lifts and currents