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Complex zeros of two incomplete Riemann zeta functions
The computation of the complex zeros of an incomplete Riemann zeta function defined in an earlier paper is extended and new zero trajectories are given. A second incomplete Riemann zeta function is defined and its zero trajectories are investigated numerically as functions of the upper limit lambda...
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| Lenguaje: | eng |
| Publicado: |
1971
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1090/S0025-5718-1972-0303686-6 http://cds.cern.ch/record/875662 |
| _version_ | 1780907863028269056 |
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| author | Kölbig, Kurt Siegfried |
| author_facet | Kölbig, Kurt Siegfried |
| author_sort | Kölbig, Kurt Siegfried |
| collection | CERN |
| description | The computation of the complex zeros of an incomplete Riemann zeta function defined in an earlier paper is extended and new zero trajectories are given. A second incomplete Riemann zeta function is defined and its zero trajectories are investigated numerically as functions of the upper limit lambda of the definition integral. It becomes apparent that there exist three different classes of zero trajectories for this function, distinguished by their behaviour for lambda to infinity . |
| id | cern-875662 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1971 |
| record_format | invenio |
| spelling | cern-8756622019-09-30T06:29:59Zdoi:10.1090/S0025-5718-1972-0303686-6http://cds.cern.ch/record/875662engKölbig, Kurt SiegfriedComplex zeros of two incomplete Riemann zeta functionsComputing and ComputersThe computation of the complex zeros of an incomplete Riemann zeta function defined in an earlier paper is extended and new zero trajectories are given. A second incomplete Riemann zeta function is defined and its zero trajectories are investigated numerically as functions of the upper limit lambda of the definition integral. It becomes apparent that there exist three different classes of zero trajectories for this function, distinguished by their behaviour for lambda to infinity .CERN-DD-71-9oai:cds.cern.ch:8756621971 |
| spellingShingle | Computing and Computers Kölbig, Kurt Siegfried Complex zeros of two incomplete Riemann zeta functions |
| title | Complex zeros of two incomplete Riemann zeta functions |
| title_full | Complex zeros of two incomplete Riemann zeta functions |
| title_fullStr | Complex zeros of two incomplete Riemann zeta functions |
| title_full_unstemmed | Complex zeros of two incomplete Riemann zeta functions |
| title_short | Complex zeros of two incomplete Riemann zeta functions |
| title_sort | complex zeros of two incomplete riemann zeta functions |
| topic | Computing and Computers |
| url | https://dx.doi.org/10.1090/S0025-5718-1972-0303686-6 http://cds.cern.ch/record/875662 |
| work_keys_str_mv | AT kolbigkurtsiegfried complexzerosoftwoincompleteriemannzetafunctions |