On the spezialschar of Maass

DOI10.1155/2010/726549zbMath1218.11046arXiv0801.1804OpenAlexW2150243874WikidataQ58651416 ScholiaQ58651416MaRDI QIDQ610810

Bernhard E. Heim

Publication date: 13 December 2010

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.1804

zbMATH Keywords

differential operatorsSiegel modular formsHecke algebraTaylor coefficients

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (13)

Local and global Maass relations ⋮ Survey article: Characterizations of the Saito-Kurokawa lifting ⋮ The Maaß space for paramodular groups ⋮ Hecke duality of Ikeda lifts ⋮ Separators of Siegel modular forms of degree two ⋮ A CHARACTERIZATION OF THE MAASS SPACE ON O(2, m + 2) BY SYMMETRIES ⋮ Maass Spezialschar of level \(N\) ⋮ The Maaß space and Hecke operators ⋮ Congruences for the Ramanujan function and generalized class numbers ⋮ Symmetries for Siegel theta functions, Borcherds lifts and automorphic Green functions ⋮ Kurokawa-Mizumoto congruences and degree-8 \(L\)-values ⋮ SYMMETRIES FOR BORCHERDS LIFTS ON HILBERT MODULAR GROUPS AND HIRZEBRUCH–ZAGIER DIVISORS ⋮ Additive and Multiplicative Lifting Properties of the Igusa Modular Form

Cites Work

• Decomposition of Eisenstein series: Rankin triple products
• Modular descent and the Saito-Kurokawa conjecture
• The Maaß space on the Hermitian half-space of degree 2
• The theory of Jacobi forms
• Explicit constructions of automorphic \(L\)-functions
• On the poles of Andrianov L-functions
• Über eine Spezialschar von Modulformen zweiten Grades. II, III. (On a Spezialschar of modular forms of second degree. II, III)
• Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
• Pullbacks of Saito-Kurokawa lifts
• On the Decomposition of a Representation of SO_n When Restricted to SO_n-1
• On the lifting of elliptic cusp forms to Siegel cusp forms of degree \(2n\)
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