A new conjectured Jacquet-Langlands-type correspondence between degree-two Hermitian cusp forms and SO(6) algebraic modular forms, with matching L-functions, backed by dimension and eigenform computations.
On the Miyawaki lifts of Hermitian modular forms
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Hermitian modular forms and algebraic modular forms on $SO(6)$
A new conjectured Jacquet-Langlands-type correspondence between degree-two Hermitian cusp forms and SO(6) algebraic modular forms, with matching L-functions, backed by dimension and eigenform computations.