Harmonic Maass forms of weight 1

DOI10.1215/00127094-2838436zbMath1414.11057OpenAlexW2047828935MaRDI QIDQ2258547

Ying-kun Li, William Duke

Publication date: 26 February 2015

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.dmj/1420813014

zbMATH Keywords

Galois representationsMaass formsStark's conjecturesharmonic modular formsmock-modularweight 1

Mathematics Subject Classification ID

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

Related Items

STARK POINTS AND -ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE ⋮ Vector valued theta functions associated with binary quadratic forms ⋮ Real-dihedral harmonic Maass forms and CM-values of Hilbert modular functions ⋮ Harmonic Maass forms associated to real quadratic fields ⋮ Algebraicity of higher Green functions at a CM point ⋮ A classification of harmonic Maass forms ⋮ Petersson inner products of weight-one modular forms ⋮ Perspectives on mock modular forms ⋮ Overconvergent generalised eigenforms of weight one and class fields of real quadratic fields ⋮ Polyharmonic Maass forms for \(\mathrm{PSL}(2,\mathbb Z)\) ⋮ CM values of higher automorphic Green functions for orthogonal groups

Uses Software

• SageMath

Cites Work

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