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VIDEO LIBRARY |
Conference in memory of A. A. Karatsuba on number theory and applications, 2015
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О современных проблемах теории гиперболической дзета-функции решёток N. M. Dobrovol'skii Tula State Pedagogical University |
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Abstract: In the talk, we give a survey of unsolved problems of the theory of lattice hyperbolic zeta-function defined in the half-plane $$ \zeta(\Lambda|\alpha)\,=\,\sum\limits_{\vec{x}\in\Lambda,\;\vec{x}\ne \vec{0}}(\overline{x}_{1}\ldots \overline{x}_{s})^{-\,\alpha}, $$ where |