On the zeros of approximations of the Ramanujan \(\Xi\)-function

DOI10.1007/s11139-007-9046-4zbMath1238.11080OpenAlexW2021602463MaRDI QIDQ539120

Haseo Ki

Publication date: 27 May 2011

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-007-9046-4

zbMATH Keywords

Riemann hypothesisRamanujan zeta functionzeros of approximations of the Ramanujan \(\Xi\)-function

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items

On the zeros of sums of the Riemann zeta function, Some conjectures on the zeros of approximates to the Riemann \(\Xi\)-function and incomplete gamma functions, A note on the zeros of approximations of the Ramanujan \(\Xi \)-function

Cites Work

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• On a theorem of Levinson
• On theorems of Berlowitz and Berndt
• The roots of trigonometric integrals
• Zeros of the constant term in the Chowla–Selberg formula
• All but finitely many non-trivial zeros of the approximations of the Epstein zeta function are simple and on the critical line