Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 3, Issue 1


Published
on

July 22, 2008


Pages

35-72


DOI

Article

On Some Oscillating Sums


Authors

J. Arias de Reyna Affiliation:
Facultad de Matemáticas Universidad de Sevilla, Apdo. 1160 41080-Sevilla SPAIN
and J. van de Lune Affiliation:
Langebuorren 49 9074 CH Hallum (formerly at CWI, Amsterdam) THE NETHERLANDS


Abstract

This paper deals with various properties (theoretical as well ascomputational) of the sums Sα(n) = n j=1 (−1)jαwhere α is any real number (mostly a positive real quadratic).


Keywords

Exponential sum, continued fraction, quadratic irrational, algorithm.


Citation

Reyna, J. A. D. & Lune, J. V. D. (2008). On some oscillating sums. Uniform Distribution Theory, 3(1), 35–72.

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