On the zeros of approximations of the Ramanujan Ξ-function

Haseo Ki

doi:10.1007/s11139-007-9046-4

On the zeros of approximations of the Ramanujan Ξ-function

Haseo Ki

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	123-143
Number of pages	21
Journal	Ramanujan Journal
Volume	17
Issue number	1
DOIs	https://doi.org/10.1007/s11139-007-9046-4
Publication status	Published - 2008 Oct

Bibliographical note

Funding 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).

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1007/s11139-007-9046-4

Cite this

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title = "On the zeros of approximations of the Ramanujan Ξ-function",

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.",

author = "Haseo Ki",

note = "Funding 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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On the zeros of approximations of the Ramanujan Ξ-function

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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