On sign changes of Fourier coefficients of Hermitian cusp forms of degree two. (English) Zbl 1523.11084
Summary: We prove a quantitative result for the number of sign changes of the Fourier coefficients of a Hermitian cusp form of degree 2. In addition, we prove a quantitative result for the number of sign changes of the primitive Fourier coefficients. We give an explicit upper bound for the first sign change of the Fourier coefficients of a Hermitian cusp form of degree 2 over certain imaginary quadratic extensions.
MSC:
| 11F33 | Congruences for modular and \(p\)-adic modular forms |
| 11F55 | Other groups and their modular and automorphic forms (several variables) |
| 11F50 | Jacobi forms |
Keywords:
Hermitian modular forms; Hermitian Jacobi forms; Jacobi forms with matrix index; Sturm bound; sign changesReferences:
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