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Non‐Degenerate Modular Wave Forms with Wave Parameter ρ = 1
Author(s) -
Schwandt Ernst A.
Publication year - 1971
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-3.1.183
Subject(s) - degenerate energy levels , modular design , physics , mathematics , computer science , quantum mechanics , programming language
Modular wave forms were introduced by Maas [2]. We are interested in their construction from known related functions. We prove that all non‐degenerate modular wave forms with wave parameter ρ = 1 are generated by regular modular forms of non‐negative integral dimension.