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

abstract

• Let F be a totally real number field of degree n over with ring of integers O and narrow class number one. Let S2k() be the vector space of cuspidal Hilbert modular forms of parallel weight 2k for = SL2(O), and let B2k be an orthogonal Hecke eigenbasis for this space. For any fixed Hecke eigenform fS2k() and any >0, we prove that (Formula Presented.) where L(fg,s) is the Rankin-Selberg L-function of f and g. 2013 Springer Science+Business Media New York.

authors

• Masri, Mohamad

published proceedings

• RAMANUJAN JOURNAL

author list (cited authors)

• Liu, S., & Masri, R.

citation count

• 4

complete list of authors

• Liu, Sheng-Chi||Masri, Riad

publication date

• June 2014

publisher

• Springer Nature  Publisher

keywords

• Central Value
• Hilbert Modular Form
• Nonvanishing
• Rankin-selberg L-function

Digital Object Identifier (DOI)

• 10.1007/s11139-013-9476-0

start page

• 227

end page

• 236

volume

• 34

issue

• 2

URL

• http://dx.doi.org/10.1007/s11139-013-9476-0