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On the zeros of approximations of the Ramanujan Ξ-function

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Abstract

The analogue of the Riemann hypothesis for the Ramanujan zeta function states that all zeros of the Ramanujan Ξ-function have real zeros only. We study the zeros of approximations of the Ramanujan Ξ-function.

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Authors and Affiliations

  1. Department of Mathematics, Yonsei University, Seoul, 120-749, Korea

    Haseo Ki

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  1. Haseo Ki
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Correspondence to Haseo Ki.

Additional information

This work was supported by the Korea Research Foundation Grant funded by the Korean Government (MOEHRD, Basic Research Promotion Fund) (KRF-2006-312-C00021).

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Ki, H. On the zeros of approximations of the Ramanujan Ξ-function. Ramanujan J 17, 123–143 (2008). https://doi.org/10.1007/s11139-007-9046-4

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  • DOI: https://doi.org/10.1007/s11139-007-9046-4

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