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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 129, Pages 127–163 (Mi znsl4287)  

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

N. V. Proskurin
Abstract: 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: $\theta\colon X\cong SL_m(\mathbb C)/SU(m)\to\mathbb C$ $(m\geqslant4)$.
Bibliographic databases:
Document Type: Article
UDC: 511.3
Language: Russian
Citation: N. V. Proskurin, “Automorphic functions and Bass-Milnor-Serre's homomorphism, II”, Automorphic functions and number theory. Part I, Zap. Nauchn. Sem. LOMI, 129, "Nauka", Leningrad. Otdel., Leningrad, 1983, 127–163
Citation in format AMSBIB
\Bibitem{Pro83}
\by N.~V.~Proskurin
\paper Automorphic functions and Bass-Milnor-Serre's homomorphism,~II
\inbook Automorphic functions and number theory. Part~I
\serial Zap. Nauchn. Sem. LOMI
\yr 1983
\vol 129
\pages 127--163
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4287}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=703009}
\zmath{https://zbmath.org/?q=an:0515.10023}
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  • https://www.mathnet.ru/eng/znsl4287
  • https://www.mathnet.ru/eng/znsl/v129/p127
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