Zagier duality for real weights

DOI10.4064/aa220614-13-1OpenAlexW4323343755MaRDI QIDQ6102962

Subong Lim, Young Min Lee

Publication date: 10 May 2023

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa220614-13-1

zbMATH Keywords

Bruinier-Funke pairingZagier duality

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30)

Cites Work

• Unnamed Item
• Unnamed Item
• The Fourier coefficients of automorphic forms belonging to a class of horocyclic groups
• Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series
• On weak harmonic Maass-modular grids of even integral weights
• On two geometric theta lifts
• Zagier duality and integrality of Fourier coefficients for weakly holomorphic modular forms
• Independence between coefficients of two modular forms
• On harmonic weak Maass forms of half integral weight
• Poincaré series and the divisors of modular forms
• A simple proof of Zagier duality for Hilbert modular forms
• Structures for pairs of mock modular forms with the Zagier duality
• Duality involving the mock theta function f (q )