Sign changes of Fourier coefficients of modular forms of half integral weight, 2

Yujiao Jiang (1) , Yuk-Kam Lau (2) , Guangshi Lü (1) , Emmanuel Royer (3) , Jie Wu (4, 5)

1 Shandong University
2 Department of Mathematics
3 LMBP - Laboratoire de Mathématiques Blaise Pascal
4 IECL - Institut Élie Cartan de Lorraine
5 LAMA - Laboratoire Analyse et de Mathématiques Appliquées

In this paper, we investigate the sign changes of Fourier coefficients of half-integral weight Hecke eigenforms and give two quantitative results on the number of sign changes.

Domaines: Théorie des nombres [math.NT]

Yujiao Jiang, Yuk-Kam Lau, Guangshi Lü, Emmanuel Royer, Jie Wu. Sign changes of Fourier coefficients of modular forms of half integral weight, 2. Mathematische Zeitschrift, 2019, 293 (1-2), pp.789-808. ⟨10.1007/s00209-018-2191-1⟩. ⟨hal-01280194⟩