Geodesic
Limit theorem for trigonometric sums. Theory of curlicues
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 63 (2008) no. 6, pp. 1023-1029 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper is a discussion of the behaviour of the trigonometric sums $\sum\exp\{2\pi\alpha n^2\}$ and their limiting distribution as a function of $N$. The analysis is based upon another application of the renormalization group theory. 
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Ya. G. Sinai. Limit theorem for trigonometric sums. Theory of curlicues. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 63 (2008) no. 6, pp. 1023-1029. http://geodesic.mathdoc.fr/item/RM_2008_63_6_a3/

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