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A generalization of the Gauss sum / Kh. ... Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ... For the generalized Gauss sum . S(N;a,q)=\sum\limits_{k=1}^{Nq} e\bigg(\frac1N \Big( k-\frac{a}{q}\Big)^2\bigg), where N,q are natural numbers, a is integer, 0\leq a<q , (a,q)=1 , its value is determined. Key words : Gauss sum, Poisson summation. ...

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Research Interests . Main current projects: . The Continuous Wavelet Transform based on the solution of Partial Differential Equations and its applications . ... Mean-field description of Kinetic Aggregate's Growth and Disease Spead including Anomalous Diffusion. ... It is based on the reducing of this integral transform to the exact analytical representation as the series of the Bessel and Struve functions multiplied by the wavelet coefficients of the input function. ...

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49. http://xray.sai.msu.ru/~polar/sci_rev/0905.html

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