Application of symbolic manipulation to the Hecke transformations of modular forms in two variables. II

DOI10.1016/S0747-7171(87)80051-2zbMath0619.10025MaRDI QIDQ1089376

Jesse Ira Deutsch, Harvey Cohn

Publication date: 1987

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

Hilbert modular formssymbolic manipulationMACSYMAHecke transformationsnonsymmetric modular forms

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to number theory (11-04) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Uses Software

• MACSYMA

Cites Work

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• On Hilbert modular forms. III
• Hilbertsche Modulformen und Modulfunktionen zu \(Q(\sqrt{8})\)
• Die Bestimmung der Funktionen zur Hilbertschen Modulgruppe des Zahlkörpers \(Q(\sqrt 5)\)
• Application of Symbolic Manipulation to Hecke Transformations of Modular Forms in Two Variables
• An Explicit Modular Equation in Two Variables and Hilbert's Twelfth Problem
• Die Bestimmung der Funktionen zu einigen Hilbertschen Modulgruppen.