Estimates for Fourier coefficients of Hermitian cusp forms of degree two
Volume 183 / 2018
Acta Arithmetica 183 (2018), 257-275
MSC: Primary 11F55; Secondary 11F50, 11F30.
DOI: 10.4064/aa170301-26-10
Published online: 9 March 2018
Abstract
We determine the Fourier series development of Hermitian Jacobi Poincaré series and obtain bounds for its Fourier coefficients. This gives rise to estimates for Fourier coefficients of Hermitian Jacobi cusp forms in general. Then, by following the method of Kohnen (1993), we obtain estimates for Fourier coefficients of Hermitian cusp forms of degree two with respect to ${\mathbb Q}(i)$.
