Riemann-Siegel integral formula for the Lerch zeta function
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- by Eugenio P. Balanzario and Jorge Sánchez-Ortiz PDF
- Math. Comp. 81 (2012), 2319-2333 Request permission
Abstract:
Here we present a Riemann-Siegel integral formula for the Lerch zeta function. Proceeding as in Turing’s method for computing the Riemann zeta function, our integral formula allows for the numerical computation of the Lerch zeta function by numerical quadratures.References
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Additional Information
- Eugenio P. Balanzario
- Affiliation: Instituto de Matemáticas, Unidad Morelia, Universidad Nacional Autónoma de México
- Email: ebg@matmor.unam.mx
- Jorge Sánchez-Ortiz
- Affiliation: Apartado Postal 61-3 (Xangari), 58089, Morelia Michoacán, México
- Address at time of publication: Facultad de Matemáticas, Av. Lázaro Cárdenas S/N, Ciudad Universitaria, Chilpancingo Gro., México
- Email: jsanchez@matmor.unam.mx
- Received by editor(s): September 27, 2010
- Received by editor(s) in revised form: April 15, 2011
- Published electronically: November 29, 2011
- © Copyright 2011 American Mathematical Society
- Journal: Math. Comp. 81 (2012), 2319-2333
- MSC (2010): Primary Mathematics, subject, classification, Primary, 11M35
- DOI: https://doi.org/10.1090/S0025-5718-2011-02566-4
- MathSciNet review: 2945158