Nonvanishing of Rankin–Selberg L-functions for Hilbert modular forms Academic Article uri icon

abstract

  • Let F be a totally real number field of degree n over ℚ with ring of integers O and narrow class number one. Let S2k(Γ) be the vector space of cuspidal Hilbert modular forms of parallel weight 2k for Γ = SL2(O), and let B2k be an orthogonal Hecke eigenbasis for this space. For any fixed Hecke eigenform f∈S2k(Γ) and any ε>0, we prove that (Formula Presented.) where L(f×g,s) is the Rankin-Selberg L-function of f and g. © 2013 Springer Science+Business Media New York.

author list (cited authors)

  • Liu, S., & Masri, R.

citation count

  • 2

complete list of authors

  • Liu, Sheng-Chi||Masri, Riad

publication date

  • July 2013