On subspaces of Riemann-Otsuki space.
Nadj, Djerdji F. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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Nadj, Djerdji F. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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Ayşe Alaca, Şaban Alaca, Kenneth S. Williams (2006)
Acta Arithmetica
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J. P. Glass (1980)
Compositio Mathematica
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M.S. Narashimhan, T.R. Ramadas (1993)
Inventiones mathematicae
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Elizade, E., Romeo, A. (1993)
International Journal of Mathematics and Mathematical Sciences
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Aaron Bertram (1993)
Inventiones mathematicae
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V. V. Mityushev (1997)
Annales Polonici Mathematici
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The Riemann problem has been solved in [9] for an arbitrary closed Riemann surface in terms of the principal functionals. This paper is devoted to solution of the problem only for the double of a multiply connected region and can be treated as complementary to [9,1]. We obtain a complete solution of the Riemann problem in that particular case. The solution is given in analytic form by a Poincaré series.
Masatoshi Suzuki (2013)
Acta Arithmetica
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We introduce a family of deformations of the Riemann xi-function endowed with two continuous parameters. We show that it has rich analytic structure and that its conjectural (mild) zero-free region for some fixed parameter is a sufficient condition for the Riemann hypothesis to hold for the Riemann zeta function.
O. Richter, C. Klein (1997)
Banach Center Publications
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1. Introduction. It is well known that methods of algebraic geometry and, in particular, Riemann surface techniques are well suited for the solution of nonlinear integrable equations. For instance, for nonlinear evolution equations, so called 'finite gap' solutions have been found by the help of these methods. In 1989 Korotkin [9] succeeded in applying these techniques to the Ernst equation, which is equivalent to Einstein's vacuum equation for axisymmetric stationary fields. But, the...
Aksent'eva, E.P., Garif'yanov, F.N. (2005)
Sibirskij Matematicheskij Zhurnal
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Mœglin, Colette (1997)
Journal of Lie Theory
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