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High precision computation of a constant in the theory of trigonometric series
Author(s):
J.
Arias
de Reyna;
J.
van de Lune.
Journal:
Math. Comp.
78
(2009),
2187-2191.
MSC (2000):
Primary 42-04, 26D05;
Secondary 11Y60
Posted:
February 9, 2009
MathSciNet review:
2521284
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Abstract:
Using the bisection as well as the Newton-Raphson method, we compute to high precision the Littlewood-Salem-Izumi constant frequently occurring in the theory of trigonometric sums.
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Additional Information:
J.
Arias
de Reyna
Affiliation:
Facultad de Matemáticas, Universidad de Sevilla, Apdo. 1160, 41080-Sevilla, Spain
Email:
arias@us.es
J.
van de Lune
Affiliation:
Langebuorren 49, 9074 CH Hallum, The Netherlands (formerly at CWI, Amsterdam)
Email:
j.vandelune@hccnet.nl
DOI:
10.1090/S0025-5718-09-02222-4
PII:
S 0025-5718(09)02222-4
Keywords:
Trigonometric sums,
Littlewood-Salem-Izumi constant,
High precision computation.
Received by editor(s):
July 28, 2008
Received by editor(s) in revised form:
September 21, 2008
Posted:
February 9, 2009
Additional Notes:
The first author was supported by MCI Grant MTM2006-05622.
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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