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Zeros of derivatives of Riemann’s xi-function on the critical line. (English) Zbl 0502.10022

##### MSC:
 11M06 $$\zeta (s)$$ and $$L(s, \chi)$$
##### Citations:
Zbl 0028.11101; Zbl 0289.10027; Zbl 0321.10035; Zbl 0462.10026
Full Text:
##### References:
 [1] Bombieri, E.Y., A lower bound for the zeros of Riemann’s zeta-function on the critical line, Sem. bourbaki, 469, 176-181, (1975) [2] Heath-Brown, D.R., Simple zeros of the Riemann zeta-function on the critical line, Bull. London math. soc., 11, 17-18, (1979) · Zbl 0409.10027 [3] Levinson, N., Remarks on a formula of Riemann for his zeta-function, J. math. anal. appl., 41, 345-351, (1973) · Zbl 0252.10042 [4] Levinson, N., At least one-third of zeros of Riemann’s zeta-function are on $$σ = 12$$, (), 1013-1015 · Zbl 0277.10032 [5] Levinson, N., More than one-third of zeros of Riemann’s zeta-function are on $$σ = 12$$, Adv. in math., 13, 383-436, (1974) · Zbl 0281.10017 [6] Levinson, N., Zeros of derivative of Riemann’s ξ-function, Bull. amer. math. soc., 80, No. 5, 951-954, (1974) · Zbl 0289.10027 [7] Levinson, N., Generalization of recent method giving lower bound for N0(T) of Riemann’s zeta-function, (), 3984-3987, No. 10 · Zbl 0287.10024 [8] Levinson, N., Deduction of semi-optional mollifier for obtaining lower bound for N0(T) for Riemann’s zeta-function, (), 294-297, No. 1 · Zbl 0294.10027 [9] Levinson, N., A simplification in the proof that $$N0(T) > (13)N(T)$$ for Reimann’s zeta-function, Adv. in math., 18, 239-242, (1975) · Zbl 0321.10035 [10] Montgomery, H.L.; Vaughan, R.C., Hilbert’s inequality, J. London math. soc. 2, 8, 73-81, (1974) · Zbl 0281.10021 [11] Cheng-Biao, Pan, A simplification of the proof of Levinson’s theorem, Acta math. sinica, 22, 344-353, (1979) · Zbl 0408.10026 [12] Rademacher, H., () [13] Siegel, C.L., Uber Riemann’s nachlas zur analytischen zahlentheorie, Quellen stud. geschichte math. astronom. phys. abt. B stud., 2, 45-80, (1932) [14] Titchmarsh, E.C., ()
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