ON CENTRAL CRITICAL VALUES OF THE DEGREE FOUR L-FUNCTIONS FOR GSp (4): A SIMPLE TRACE FORMULA
نویسندگان
چکیده
We establish a simple relative trace formula for GSp(4) and inner forms with respect to Bessel subgroups to obtain a certain Bessel identity. From such an identity, one can hope to prove a formula relating central values of degree four spinor L-functions to squares of Bessel periods as conjectured by Böcherer. Under some local assumptions, we obtain nonvanishing results, i.e., a global Gross–Prasad conjecture for (SO(5), SO(2)).
منابع مشابه
ON CENTRAL CRITICAL VALUES OF THE DEGREE FOUR L-FUNCTIONS FOR GSp (4): THE FUNDAMENTAL LEMMA. II
We propose a new relative trace formula concerning the central critical values of the spinor L-functions for GSp (4). The main result is a proof of the fundamental lemma for the unit element of the Hecke algebra. Our new relative trace formula has some significant advantages over the previous ones for the subsequent development.
متن کاملON CENTRAL CRITICAL VALUES OF THE DEGREE FOUR L-FUNCTIONS FOR GSp (4): THE FUNDAMENTAL LEMMA. II By MASAAKI FURUSAWA and KIMBALL MARTIN
We propose a new relative trace formula concerning the central critical values of the spinor L-functions for GSp (4). The main result is a proof of the fundamental lemma for the unit element of the Hecke algebra. Our new relative trace formula has some significant advantages over the previous ones for the subsequent development.
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