Bounds for Some Coefficients Related to the Zeta Function.
Abstract
If one wishes to calculate numerical approximations for the Riemann zeta function in the critical strip, the most efficient procedure presently known is to use the Riemann-Siegel formula. This formula involves an asymptotic series. To be able to use it for the purposes of calculation, one must know a bound for the error if one uses T terms of the series. Such bounds have been given for the case where a single term is used. No bounds are given in the literature for larger values of T. In a subsequent article, such bounds will be given. To establish these, we need bounds on certain coefficients, (a sub n), appearing in the Riemann-Siegel formula. In the present article, such bounds are furnished. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1972
- Accession Number
- AD0748760
Entities
People
- J. Barkley Rosser
Organizations
- University of Wisconsin–Madison