Singular Functions in the Problem of the Weighted Number of Integer Points on Multidimensional Hyperboloids of Special Form
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DOI: 10.1134/s0001434619010292
Abstract: The paper is devoted to the application of the circle method to the problem of an asymptotics of the weighted number of integer points on multidimensional hyperboloids of a special form. We prove the convergence… read more here.
Keywords: points multidimensional; problem; multidimensional hyperboloids; integer points ... See more keywords
Critical points of multidimensional random Fourier series: Central limits
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DOI: 10.3150/16-bej874
Abstract: We investigate certain families X~, 0 < ~ 1, of Gaussian random smooth functions on the m-dimensional torus T~ := Rm/(~−1Z)m. We show that for any cube B ⊂ R of size < 1/2 and… read more here.
Keywords: random fourier; points multidimensional; critical points; series central ... See more keywords