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Miniature of Determining hilbert modular forms by central values of rankin-selberg convolutions: The level aspect
Determining hilbert modular forms by central values of rankin-selberg convolutions: The level aspect

Date: 2017-12-01

Creator: Alia Hamieh, Naomi Tanabe

Access: Open access

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.
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DC SUBJECT: Hilbert modular forms   DC SUBJECT: Petersson trace formula   Remove all