Modular forms on the Fricke group

DOI10.1007/BF02953336zbMath0851.11027MaRDI QIDQ1913340

Aloys Krieg

Publication date: 19 June 1996

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

modular formstheta seriesFricke groupsspace of automorphic forms\(p\)-modular lattices

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (7)

Arithmetic properties for the minus space of weakly holomorphic modular forms ⋮ Linear relations between modular forms for \(\Gamma_0^+(p)\) ⋮ Congruences for Hecke eigenvalues in minus spaces ⋮ Congruences for Hecke eigenvalues in higher level cases ⋮ Bounds for the coefficients of cusp forms for \(\Gamma_{0}(3)\) ⋮ On the zeros of certain Poincaré series for \(\Gamma^{*}_{0}(2)\) and \(\Gamma^{*}_{0}(3)\) ⋮ The Hecke algebras for the Fricke groups

Cites Work

• Arithmetische Eigenschaften von Eisenstein-Reihen zu den Hecke-Gruppen G(\(\sqrt{2})\) und G(\(\sqrt{3})\)
• Thetareihen positiv definiter quadratischer Formen
• Lattices with theta functions for G(\(\sqrt{2})\) and linear codes
• Theta series on the Hecke groups \(G(\sqrt{2})\) and \(G(\sqrt{3})\)
• On two of Liouville's quaternary forms
• Arithmétique des algèbres de quaternions
• The Hecke correspondences for G(qsup(1/2)); q prime; Eisenstein series and modular invariants
• Codes over GF(4) and complex lattices
• Action of Hecke operator \(T(p)\) on theta series
• On lattices equivalent to their duals
• The genus of the Barnes-Wall lattice
• Modular lattices in Euclidean spaces
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