Hermitian modular forms and algebraic modular forms on SO(6)
We state conjectures that relate Hermitian modular forms of degree two and algebraic modular forms for the compact group SO(6). We provide evidence for these conjectures in the form of dimension formulas and explicit computations of eigenforms.
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
September 2026
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| In: |
Journal of number theory
Year: 2026, Volume: 286, Pages: 230-279 |
| ISSN: | 1096-1658 |
| DOI: | 10.1016/j.jnt.2026.02.009 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.jnt.2026.02.009 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0022314X26000636 
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| Author Notes: | Tomoyoshi Ibukiyama, Brandon Williams |
| Summary: | We state conjectures that relate Hermitian modular forms of degree two and algebraic modular forms for the compact group SO(6). We provide evidence for these conjectures in the form of dimension formulas and explicit computations of eigenforms. |
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| Item Description: | Online verfügbar: 1. April 2026 Gesehen am 10.06.2026 |
| Physical Description: | Online Resource |
| ISSN: | 1096-1658 |
| DOI: | 10.1016/j.jnt.2026.02.009 |