Fourier coefficients of Hilbert modular forms at cusps
Fourier coefficients of Hilbert modular forms at cusps
Abstract The aim of this article is to study the fields generated by the Fourier coefficients of Hilbert newforms at arbitrary cusps. Precisely, given a cuspidal Hilbert newform f and a matrix $$\sigma $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>σ</mml:mi> </mml:math> in (a suitable conjugate of) the Hilbert modular group, we give a …