On the Linnik-Sprindžuk theorem about the zeros of L-functions
J. Kaczorowski, A. Perelli (2008)
Acta Arithmetica
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Displaying similar documents to “On the zeros of the Riemann -function.”
On the Linnik-Sprindžuk theorem about the zeros of L-functions
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.
A note on moments of .
Laurinčikas, Antanas, Steuding, Jörn (2004)
Publications de l'Institut Mathématique. Nouvelle Série
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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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Pair correlation of the zeros of the Riemann zeta function in longer ranges
Tsz Ho Chan (2004)
Acta Arithmetica
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Nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines
Masatoshi Suzuki (2015)
Acta Arithmetica
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We show that the density functions of nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines are described by the M-function which appears in value distribution of the logarithmic derivative of the Riemann zeta-function on vertical lines.
Counting distinct zeros of the Riemann zeta-function.
Farmer, David W. (1995)
The Electronic Journal of Combinatorics [electronic only]
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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.
Erratum - Zeta functions for the Riemann zeros
André Voros (2004)
Annales de l’institut Fourier
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On the zeros of degree one L-functions from the extended Selberg class
Haseo Ki, Yoonbok Lee (2011)
Acta Arithmetica
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More precise Pair Correlation Conjecture on the zeros of the Riemann zeta function
Tsz Ho Chan (2004)
Acta Arithmetica
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Some conjectures on the zeros of approximates to the Riemann ≡-function and incomplete gamma functions
James Haglund (2011)
Open Mathematics
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Riemann conjectured that all the zeros of the Riemann ≡-function are real, which is now known as the Riemann Hypothesis (RH). In this article we introduce the study of the zeros of the truncated sums ≡N(z) in Riemann’s uniformly convergent infinite series expansion of ≡(z) involving incomplete gamma functions. We conjecture that when the zeros of ≡N(z) in the first quadrant of the complex plane are listed by increasing real part, their imaginary parts are monotone nondecreasing. We show...
On the success and failure of Gram's Law and the Rosser Rule
Timothy Trudgian (2011)
Acta Arithmetica
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