Phantom holomorphic projections arising from Sturm's formula

DOI10.1007/s11139-018-0033-8zbMath1428.11086arXiv1605.01868OpenAlexW2962910625MaRDI QIDQ1991652

Kathrin Maurischat, Rainer Weissauer

Publication date: 30 October 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.01868

zbMATH Keywords

spectral decompositionSturm's methodSiegel modular forms holomorphic projection

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (2)

Sturm’s operator for scalar weight in arbitrary genus ⋮ Properties of Sturm’s formula

Cites Work

• On Eisenstein series
• Stabile Modulformen und Eisensteinreihen. (Stable modular forms and Eisenstein series)
• Heegner points and derivatives of \(L\)-series
• The critical values of zeta functions associated to the symplectic group
• Automorphic forms of singular weight are singular forms
• On the functional equations satisfied by Eisenstein series
• Representations with scalar \(K\)-types and applications
• Non-Archimedean \(L\)-functions and arithmetical Siegel modular forms
• On holomorphic projection for symplectic groups
• Projections of 𝐶^{∞} automorphic forms
• Hilbert-Siegelsche singuläre Modulformen
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