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Russian Mathematical Surveys, 2008, Volume 63, Issue 6, Pages 1023–1029
DOI: https://doi.org/10.1070/RM2008v063n06ABEH004577 (Mi rm9250) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Limit theorem for trigonometric sums. Theory of curlicues

Ya. G. Sinaiab

a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
b Princeton University
English version PDF (460 kB) Citations (7)
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DOI: https://doi.org/10.1070/RM2008v063n06ABEH004577
Abstract: 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.
Received: 15.08.2008
Russian version:
Uspekhi Matematicheskikh Nauk, 2008, Volume 63, Issue 6(384), Pages 31–38
DOI: https://doi.org/10.4213/rm9250
Bibliographic databases:
Document Type: Article
UDC: 517.987.5
MSC: Primary 37A45; Secondary 11A55 60Fxx
Language: English
Original paper language: Russian
Citation: Ya. G. Sinai, “Limit theorem for trigonometric sums. Theory of curlicues”, Uspekhi Mat. Nauk, 63:6(384) (2008), 31–38; Russian Math. Surveys, 63:6 (2008), 1023–1029
Citation in format AMSBIB
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    Russian version PDF:512
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    References:113
    First page:83
     
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