Sign changes of the coefficients of automorphic L-functions

Yuk-Kam Lau (1) , Jianya Liu (2) , Jie Wu (3)

1 HKU - The University of Hong Kong
2 Shandong University
3 IECN - Institut Élie Cartan de Nancy

This survey gives an account of background and the recent development concerning sign changes of Fourier coefficients of modular forms, which includes the great contributions of other authors. We are attempting to elucidate interesting viewpoints, ideas and methods which, even unspecified, may not originate from us -- the present authors. Moreover, we formulate some questions for future study.

Domaines: Théorie des nombres [math.NT]

Yuk-Kam Lau, Jianya Liu, Jie Wu. Sign changes of the coefficients of automorphic L-functions. 6th China-Japan Seminar on number theory, Aug 2011, Shanghai, China. pp.141-181. ⟨hal-01314745⟩