Complex zeros of an incomplete Riemann zeta function and of the incomplete gamma function
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- by K. S. Kölbig PDF
- Math. Comp. 24 (1970), 679-696 Request permission
Abstract:
Complex zeros of an incomplete Riemann zeta function and of the incomplete gamma function are calculated as functions of the upper limit $\lambda$ of the definition integrals. It becomes apparent that not all, but only some, of the zero trajectories of the incomplete Riemann zeta function join a zero of the Riemann zeta function $\zeta (s)$ for $\lambda \to \infty$. The remaining trajectories at least in the region considered, approach the zero trajectories of the incomplete gamma function.References
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Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Math. Comp. 24 (1970), 679-696
- MSC: Primary 65.25
- DOI: https://doi.org/10.1090/S0025-5718-1970-0273787-8
- MathSciNet review: 0273787