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The Linear Mean Value of the Remainder Term in the Problem of Asymptotic Behavior of Eigenfunctions of the Automorphic Laplacian
Linear Mean Value Automorphic Laplacian Remainder Term
2010/3/5
The purpose of this paper is to obtain the estimate for the average mean value of the remainder term of the asymptotic formula for the quadratic mean value of the Fourier coefficients of the eigenfunc...
The Non Uniform Bounds of Remainder Term in CLT for the Sum of Functions of Uniform Spacings
Remainder Term Uniform Spacings
2010/3/4
The non uniform bound of the remainder in the central limit theorem for the sums of functions of uniform spacings is established. The bound depend on the moments of functions of the standard exponenti...