Construction of Automorphic Forms and Integrals

DOI10.2307/1997003zbMath0306.30023OpenAlexW4248401954MaRDI QIDQ4063717

Douglas Niebur

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/1997003

Mathematics Subject Classification ID

Automorphic forms, one variable (11F12) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items

Moonshine, Rademacher Sums and Rademacher Series, Mixed Rademacher and BPS black holes, Quantum modular \(\widehat{Z}^G\)-invariants, Elliptic genera from classical error-correcting codes, Holomorphic Automorphic Forms and Cohomology, Eichler cohomology of generalized modular forms of real weights, Conformal field theories with sporadic group symmetry, Eichler cohomology theorem for automorphic forms of small weights, 3d modularity, One-loop BPS amplitudes as BPS-state sums, Eichler cohomology in general weights using spectral theory, A generalization of Knopp's observation on Ramanujan's tau-function, Moonshine modules and a question of Griess, Construction of generalized modular integrals

Cites Work

• Unnamed Item
• On complementary automorphic forms and supplementary Fourier series
• Zur analytischen Theorie der Grenzkreisgruppen. II. Divisorentheorie der automorphen Formen komplexer Dimension
• On the Fourier coefficients of certain modular forms of positive dimension
• On the Partition Function p (n )
• The Fourier Series and the Functional Equation of the Absolute Modular Invariant J(τ)