On the imaginary quadratic Doi-Naganuma lifting of modular forms of arbitrary level

DOI10.1017/S0027763000020535zbMath0506.10022OpenAlexW1516511949MaRDI QIDQ4742860

Solomon Friedberg

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1017/s0027763000020535

zbMATH Keywords

modular formtheta functionbase changeimaginary quadratic Doi-Naganuma lifting

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Automorphic forms, one variable (11F12) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items

Families of Bianchi modular symbols: critical base-change \(p\)-adic \(L\)-functions and \(p\)-adic Artin formalism ⋮ Differential Operators and Theta Series ⋮ On Maass wave forms and the imaginary quadratic Doi-Naganuma lifting ⋮ Periods of Cusp Forms and Elliptic Curves Over Imaginary Quadratic Fields ⋮ Pullbacks of Saito-Kurokawa lifts ⋮ On the non-vanishing of cubic twists of automorphic $L$-series ⋮ On theta functions associated to indefinite quadratic forms

Cites Work

• Unnamed Item
• Modular forms associated to real quadratic fields
• On the Fourier coefficients of automorphic forms at various cusps and some applications to Rankin's convolution
• On modular forms associated with indefinite quadratic forms of signature \((2,n-2)\)
• On the functional equation of certain Dirichlet series
• On a convolution of L-series
• On the coincidence of two Dirichlet series associated to cusp forms of Hecke's Neben-type and Hilbert modular forms over a real quadratic field
• On construction of holomorphic cusp forms of half integral weight
• The special values of the zeta functions associated with cusp forms
• On the Doi-Naganuma lifting associated with imaginary quadratic fields
• Theta-functions and Hilbert modular forms