A C99 Implementation of the Clausen Sums
Numerical Analysis
2013-10-01 v1
Abstract
A C99 program is presented which calculates the Clausen sums for non-negative integer indices j and real arguments x. The implementation is split into three major cases. For large j, a direct, truncated summation of the sum is performed. For smaller j, the associate polynomial of x is evaluated if applicable; otherwise a Chebyshev series is constructed by repeated integration of a (truncated) Chebyshev representation of Cl_2(x), and evaluated.
Cite
@article{arxiv.1309.7504,
title = {A C99 Implementation of the Clausen Sums},
author = {Richard J. Mathar},
journal= {arXiv preprint arXiv:1309.7504},
year = {2013}
}
Comments
6 pages, 1 figure, ancillary directory with C program source