Automorphic functions and Bass-Milnor-Serre's homomorphism,~II
Zapiski Nauchnykh Seminarov POMI, Automorphic functions and number theory. Part I, Tome 129 (1983), pp. 127-163
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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: $\theta\colon X\cong SL_m(\mathbb C)/SU(m)\to\mathbb C$ $(m\geqslant4)$.
@article{ZNSL_1983_129_a6,
author = {N. V. Proskurin},
title = {Automorphic functions and {Bass-Milnor-Serre's} {homomorphism,~II}},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {127--163},
publisher = {mathdoc},
volume = {129},
year = {1983},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_129_a6/}
}
N. V. Proskurin. Automorphic functions and Bass-Milnor-Serre's homomorphism,~II. Zapiski Nauchnykh Seminarov POMI, Automorphic functions and number theory. Part I, Tome 129 (1983), pp. 127-163. http://geodesic.mathdoc.fr/item/ZNSL_1983_129_a6/