An arithmetic of Hermitian modular forms of degree two

DOI10.1007/BF01399502zbMath0502.10011OpenAlexW1972636851MaRDI QIDQ1172659

Hisashi Kojima

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142949

zbMATH Keywords

Fourier coefficientsMaass spaceSaito-Kurokawa conjectureHermitian modular cusp formsHermitian modular group of degree two

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30)

Related Items (24)

The Maaß-space on the half-space of quaternions of degree 2 ⋮ Construction of Hermitian modular forms of genus 2 from cusp forms of genus 1 ⋮ The graded ring of modular forms on the Cayley half-space of degree two ⋮ Ap-ADIC HERMITIAN MAASS LIFT ⋮ Zeta function of degree six for Hermite modular forms of genus two ⋮ Hermitian Maass lift for general level ⋮ On linear relations for \(L\)-values over real quadratic fields ⋮ A hyperbolic Kac-Moody algebra and the theory of Siegel modular forms of genus 2 ⋮ The Maaß space for Cayley numbers ⋮ The Fourier-Jacobi functions of n ⋮ The Fourier-Jacobi functions of n ⋮ Theta lifting of cusp forms on the unitary group \(U(d, d)\) ⋮ On the periods of automorphic forms on special orthogonal groups and the Gross-Prasad conjecture ⋮ On the period of the Ikeda lift for \(U(m,m)\) ⋮ The Maaß space and Hecke operators ⋮ Congruences among modular forms on \(\text{U}(2,2)\) and the Bloch-Kato conjecture ⋮ The Maaß space on the Hermitian half-space of degree 2 ⋮ A NOTE ON THE SAITO-KUROKAWA LIFT FOR HERMITIAN FORMS ⋮ The graded ring of Hermitian modular forms of degree 2 ⋮ The Maaß-space on the half-plane of Cayley numbers of degree two ⋮ Regularized theta lift and formulas of Katok–Sarnak type ⋮ The Maass space for \(U(2,2)\) and the Bloch-Kato conjecture for the symmetric square motive of a modular form ⋮ Some remarks on the Saito Kurokawa lift for orthogonal forms ⋮ Koecher-Maass series of the Ikeda lift for \(U(m,m)\)

Cites Work

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• Modular descent and the Saito-Kurokawa conjecture
• Rankin's method in the case of level 4q and its application to the Doi- Naganuma lifting
• Siegel modular cusp forms of degree two
• Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two
• Über eine Spezialschar von Modulformen zweiten Grades. II, III. (On a Spezialschar of modular forms of second degree. II, III)
• Arithmetic of unitary groups
• On modular forms of half integral weight
• Hermitian modular functions
• Hermitian modular functions. III. The hermitian modular group
• EULER PRODUCTS CORRESPONDING TO SIEGEL MODULAR FORMS OF GENUS 2
• On construction of holomorphic cusp forms of half integral weight

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