Limit theorem for trigonometric sums. Theory of curlicues
Abstract
This paper is a discussion of the behaviour of the trigonometric sums \sum\exp\{2πα n^2\} and their limiting distribution as a function of N. The analysis is based upon another application of the renormalization group theory.
 Publication:

Russian Mathematical Surveys
 Pub Date:
 December 2008
 DOI:
 10.1070/RM2008v063n06ABEH004577
 Bibcode:
 2008RuMaS..63.1023S