L-functions for Gsp 4
نویسنده
چکیده
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 کاملL-functions for Gsp 4 × Gl 2 in the Case of High Gl 2 Conductor
Abstract. Furusawa [5] has given an integral representation for the degree 8 Lfunction of GSp 4 × GL2 and has carried out the unramified calculation. The local p-adic zeta integrals were calculated in the work [6] under the assumption that the GSp 4 representation π is unramified and the GL2 representation τ has conductor p. In the present work we generalize to the case where the GL2 representa...
متن کاملON CENTRAL CRITICAL VALUES OF THE DEGREE FOUR L-FUNCTIONS FOR GSp (4): A SIMPLE TRACE FORMULA
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–Pr...
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.
متن کاملTowards Functoriality of Spinor L-functions
The object of this work is the spinor L-function of degree 3 and certain degeneration related to the functoriality principle. We study liftings of automorphic forms on the pair of symplectic groups (GSp(2), GSp(4)) to GSp(6). We prove cuspidality and demonstrate the compatibility with conjectures of Andrianov, Panchishkin, Deligne and Yoshida. This is done on a motivic and analytic level. We di...
متن کامل