Bilinear forms in the Fourier coefficients of half-integral weight cusp forms and sums over primes

On the Fourier coefficients of Hilbert–M

On the Fourier coefficients of Hilbert–Maass wave forms of half integral weight over arbitrary algebraic number fields

✍ Hisashi Kojima 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 457 KB

The purpose of this paper is to derive a generalization of Shimura's results concerning Fourier coefficients of Hilbert modular forms of half integral weight over total real number fields in the case of Hilbert-Maass wave forms over algebraic number fields by following the Shimura's method. Employin