On Some Connections Between Zeta-Zeros and Square-Free Integers.
Krystyna Maria Bartz (1992)
Monatshefte für Mathematik
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Displaying similar documents to “The Connection between the Zeros of the ...-Function and Sequences (g(p)), p Prime, mod 1.”
On Some Connections Between Zeta-Zeros and Square-Free Integers.
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Aleksandar Ivic (1987)
Monatshefte für Mathematik
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Minkowski's Successive Minima and the Zeros of a Convexity-Function.
J.M. Wills (1990)
Monatshefte für Mathematik
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Gaps Between Consecutive Zeros of the Riemann Zeta-Function on the Critical Line.
A. Ivic, M. Jutila (1988)
Monatshefte für Mathematik
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On the Zeros of Certain L-Polynomials.
F.I. Mautner (1969)
Monatshefte für Mathematik
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Jürgen, Lodemann, Martin Hinz (1994)
Monatshefte für Mathematik
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Zeros of entire Series.
O.P. Juneja, R.S.L. Srivastava (1966)
Monatshefte für Mathematik
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On the mean value of the remainder term of the prime number formula
J. Pintz (1985)
Banach Center Publications
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On a Problem of A. Rényi.
Dieter Wolke (1991)
Monatshefte für Mathematik
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An Asymptotic Formula for a sum Involving Zeros of the Riemann Zeta-function
Yuichi Kamiya, Masatoshi Suzuki (2004)
Publications de l'Institut Mathématique
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Large gaps between consecutive zeros of the Riemann zeta-function. II
H. M. Bui (2014)
Acta Arithmetica
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Assuming the Riemann Hypothesis we show that there exist infinitely many consecutive zeros of the Riemann zeta-function whose gaps are greater than 2.9 times the average spacing.
On the exact location of the non-trivial zeros of Riemann's zeta function
Juan Arias de Reyna, Jan van de Lune (2014)
Acta Arithmetica
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We introduce the real valued real analytic function κ(t) implicitly defined by (κ(0) = -1/2). By studying the equation κ(t) = n (without making any unproved hypotheses), we show that (and how) this function is closely related to the (exact) position of the zeros of Riemann’s ζ(s) and ζ’(s). Assuming the Riemann hypothesis and the simplicity of the zeros of ζ(s), it follows that the ordinate of the zero 1/2 + iγₙ of ζ(s) is the unique solution to the equation κ(t) = n.
Pair correlation of zeros of the zeta function.
P.X. Gallagher (1985)
Journal für die reine und angewandte Mathematik
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