%0 Journal Article
%T On some oscillating sums
%A J. Arias de Reyna
%A J. van de Lune
%J Uniform Distribution Theory
%D 2008
%I Mathematical Institute of the Slovak Academy of Sciences
%X This paper deals with various properties (theoretical as well as computational) of the \sums $S_ \alpha(n) = \sum_{j=1}^n (-1)^{ \lfloor j \alpha \floor}$ where $ \alpha$ is any real number (mostly a positive real quadratic).
%K Exponential sum
%K continued fraction
%K quadratic irrational
%K algorithm
%U http://www.boku.ac.at/MATH/udt/vol03/no1/ReyLu08-1.pdf