Lifting cusp forms to Maass forms with an application to partitions

For 2 < k [set membership] [Formula: see text], we define lifts of cuspidal Poincaré series in Sk(Γ₀(N)) to weight 2 - k harmonic weak Maass forms. This construction answers a question of Dyson by providing the general framework "explaining" Ramanujan's mock theta functions. As an...

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Veröffentlicht in:	Proceedings of the National Academy of Sciences - PNAS 2007-03, Vol.104 (10), p.3725-3731
Hauptverfasser:	Bringmann, Kathrin, Ono, Ken
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorics Differential operators Fourier series expansion Integers Mathematical congruence Mathematical cusps Mathematical functions Mathematical problems Mathematics Physical Sciences Series convergence Special functions
Online-Zugang:	Volltext
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