On higher-power moments of E(t)
Wenguang Zhai (2004)
Acta Arithmetica
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Displaying similar documents to “On higher-power moments of Δ(x) (III)”
On higher-power moments of E(t)
The joint universality and the generalized strong recurrence for Dirichlet L-functions
Takashi Nakamura (2009)
Acta Arithmetica
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Horizontal monotonicity of the modulus of the zeta function, L-functions, and related functions
Yu. Matiyasevich, F. Saidak, P. Zvengrowski (2014)
Acta Arithmetica
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As usual, let s = σ + it. For any fixed value of t with |t| ≥ 8 and for σ < 0, we show that |ζ(s)| is strictly decreasing in σ, with the same result also holding for the related functions ξ of Riemann and η of Euler. The following inequality related to the monotonicity of all three functions is proved: ℜ (η'(s)/η(s)) < ℜ (ζ'(s)/ζ(s)) < ℜ (ξ'(s)/ξ(s)). It is also shown that extending the above monotonicity result for |ζ(s)|, |ξ(s)|, or |η(s)|...
On the structure of the Selberg class, VI: non-linear twists
J. Kaczorowski, A. Perelli (2005)
Acta Arithmetica
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A limit theorem for the Riemann zeta-function in the complex space
A. Laurinčikas (1990)
Acta Arithmetica
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Multiple finite Riemann zeta functions
Kazufumi Kimoto, Nobushige Kurokawa, Sho Matsumoto, Masato Wakayama (2005)
Acta Arithmetica
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Ω-theorems for the Riemann zeta-function
Norman Levinson (1972)
Acta Arithmetica
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Zero spacing distributions for differenced L-functions
Jeffrey C. Lagarias (2005)
Acta Arithmetica
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On multiple Hurwitz zeta-function values at rational arguments
S. Kanemitsu, Y. Tanigawa, M. Yoshimoto (2003)
Acta Arithmetica
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On Some Integrals Involving the Mean Square Formula for the Riemann Zeta-function
Aleksandar Ivić (1989)
Publications de l'Institut Mathématique
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On the Fourth Moment of the Riemann Zeta Functions
Aleksandar Ivić (1995)
Publications de l'Institut Mathématique
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Borwein and Bradley's Apéry-like formulae for .
Almkvist, Gert, Granville, Andrew (1999)
Experimental Mathematics
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On the distribution of the values of Riemann's Zeta-function
A. Good (1981)
Acta Arithmetica
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Note on a paper by H. L. Montgomery (Omega theorems for the Riemann zeta- function).
Ramachandra, K., Sankaranarayanan, A. (1991)
Publications de l'Institut Mathématique. Nouvelle Série
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