Automorphic functions and Bass-Milnor-Serre's homomorphism, II

N. V. Proskurin

Zapiski Nauchnykh Seminarov POMI, Automorphic functions and number theory. Part I, Tome 129 (1983), pp. 127-163

Résumé

We consider here a new automorphic function $\theta\colon X\cong SL_3(\mathbb C)/SU(3)\to\mathbb C$. This function is the residue, see (1), of Eisenstein series which was considered in the first part of the present paper. The main result is formulated in the theorem 4. This theorem gives the precise formulas for some coefficients of the expansion for $\theta$. At the end we give the conjecture concerning more general case: $\theta\colon X\cong SL_m(\mathbb C)/SU(m)\to\mathbb C$ $(m\geqslant4)$.