Determining hilbert modular forms by central values of rankin-selberg convolutions: The level aspect
Document Type
Article
Publication Date
12-1-2017
Abstract
In this paper, we prove that a primitive Hilbert cusp form g is uniquely determined by the central values of the Rankin-Selberg L-functions (formula presented), where f runs through all primitive Hilbert cusp forms of level q for infinitely many prime ideals q. This result is a generalization of the work of Luo (1999) to the setting of totally real number fields.
Recommended Citation
Hamieh, Alia and Tanabe, Naomi, "Determining hilbert modular forms by central values of rankin-selberg convolutions: The level aspect" (2017). Mathematics Faculty Publications. 67.
https://digitalcommons.bowdoin.edu/mathematics-faculty-publications/67
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