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This article is cited in 11 scientific papers (total in 11 papers)
The asymptotic distribution of integers on a hyperboloid of one sheet and ergodic theorems
B. F. Skubenko
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Received: 18.04.1961
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B. F. Skubenko, “The asymptotic distribution of integers on a hyperboloid of one sheet and ergodic theorems”, Izv. Akad. Nauk SSSR Ser. Mat., 26:5 (1962), 721–752
Citation in format AMSBIB
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\by B.~F.~Skubenko
\paper The asymptotic distribution of integers on a~hyperboloid of one sheet and ergodic theorems
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1962
\vol 26
\issue 5
\pages 721--752
\mathnet{http://mi.mathnet.ru/izv3244}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=151436}
\zmath{https://zbmath.org/?q=an:0107.04201}
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This publication is cited in the following articles:
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A. V. Malyshev, “On the weighted number of integer points on a quadric”, Sem. Math. V. A. Steklov, 1 (1968), 1–30
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E. P. Golubeva, “On the length of the period of a quadratic irrationality”, Math. USSR-Sb., 51:1 (1985), 119–128
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E. P. Golubeva, “The asymptotic distribution of lattice points belonging to given residue classes on hyperboloids of special form”, Math. USSR-Sb., 51:2 (1985), 507–532
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E. P. Golubeva, “Representation of large numbers by ternary quadratic forms”, Math. USSR-Sb., 57:1 (1987), 43–56
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U. M. Pachev, “Representation of integers by isotropic ternary quadratic forms”, Izv. Math., 70:3 (2006), 587–604
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U. M. Pachev, “On the asymptotics of the number of reduced integral quadratic forms with a condition of divisibility of the first coefficients”, Siberian Math. J., 48:2 (2007), 300–310
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U. M. Pachev, “Obzor issledovanii po diskretnomu ergodicheskomu metodu v teorii chisel”, Chebyshevskii sb., 11:1 (2010), 217–233
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U. M. Pachev, “O raspredelenii privedennykh neopredelennykh binarnykh kvadratichnykh form s usloviem delimosti pervykh koeffitsientov po klassam vychetov”, Chebyshevskii sb., 14:2 (2013), 139–150
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U. M. Pachev, “Ergodicheskie svoistva potokov tselykh tochek na nekotorykh giperboloidakh v svyazi s gipotezami dlya $L$-funktsii Dirikhle”, Chebyshevskii sb., 17:1 (2016), 171–186
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U. M. Pachev, R. A. Dokhov, “On the Number of Integer Points Whose First Coordinates Satisfy a Divisibility Condition on Hyperboloids of a Special Form”, Math. Notes, 100:6 (2016), 847–851
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U. M. Pachev, R. A. Dokhov, “Singular Functions in the Problem of the Weighted Number of Integer Points on Multidimensional Hyperboloids of Special Form”, Math. Notes, 105:2 (2019), 265–279
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