Zeros of the Davenport-Heilbronn counterexample
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- by Eugenio P. Balanzario and Jorge Sánchez-Ortiz PDF
- Math. Comp. 76 (2007), 2045-2049 Request permission
Abstract:
We compute zeros off the critical line of a Dirichlet series considered by H. Davenport and H. Heilbronn. This computation is accomplished by deforming a Dirichlet series with a set of known zeros into the Davenport-Heilbronn series.References
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Additional Information
- Eugenio P. Balanzario
- Affiliation: Instituto de Matemáticas, Unidad Morelia, Universidad Nacional Autónoma de México, Apartado Postal 61-3 (Xangari), 58089, Morelia Michoacán, México
- Email: ebg@matmor.unam.mx
- Jorge Sánchez-Ortiz
- Affiliation: Instituto de Matemáticas, Unidad Morelia, Universidad Nacional Autónoma de México, Apartado Postal 61-3 (Xangari), 58089, Morelia Michoacán, México
- Received by editor(s): September 12, 2006
- Published electronically: May 9, 2007
- © Copyright 2007 American Mathematical Society
- Journal: Math. Comp. 76 (2007), 2045-2049
- MSC (2000): Primary 11M26, 11M41
- DOI: https://doi.org/10.1090/S0025-5718-07-01999-0
- MathSciNet review: 2336280